3628&deployment= &UserPass=51c80c11cadbba7fdfd8ac04e92877ef
|
|
- Esther Wood
- 6 years ago
- Views:
Transcription
1 Sections 14.1 and 14.2 ( ) Question Due: Wed Sep :59 PM PDT 1. Question DetailsSCalcET [ ] Consider the function below. g(x, y, z) = ln(18 - x 2 - y 2 - z 2 ) (a) Evaluate g(3, -2, 2). (b) Find the domain of g.? 18 (c) Find the range of g. (f you need to use or, enter NFNTY or NFNTY, respectively.)?,? 2. Question DetailsSCalcET [ ] Consider the function below. (a) Evaluate f(1, -1, 3). (b) Find the domain of f.? z (c) Find the range of f. (f you need to use or, enter NFNTY or NFNTY, respectively.)?,? 3. Question DetailsSCalcET [ ] Find and sketch the domain of the function. (Do this on paper. Your instructor may ask you to turn in this work.) f(x, y) = ln(9 - x 2-9y 2 )? 1 4. Question DetailsSCalcET [ ] Find and sketch the domain of the function. (Do this on paper. Your instructor may ask you to turn in this work.)? Question DetailsSCalcET M. [ ] Two contour maps are shown. One is for a function f whose graph is a cone. The other is for a function g whose graph is a paraboloid. Which is which, and why? Map is the paraboloid. Map is the cone. The cone's z-values change at a constant rate. Map is the paraboloid. Map is the cone. The cone's z-values change at a constant rate. Map is the paraboloid. Map is the cone. The parabola's z-values change at a constant rate. Tutorial Map is the paraboloid. Map is the cone. The parabola's z-values change at a constant rate. 6. Question DetailsSCalcET [824788] A contour map of a function is shown. Use it to select the sketch of the graph of f. Page 1 of 6
2 7. Question DetailsSCalcET [824846] A contour map of a function is shown. Use it to select the sketch of the graph of f. Page 2 of 6
3 8. Question DetailsSCalcET M. [ ] Select the contour map of the function. f(x, y) = (y - 3x) 2 Tutorial 9. Question DetailsSCalcET [824744] Select the contour map of the function. f(x,y) = x 3 y Page 3 of 6
4 10. Question DetailsSCalcET [824898] Select the contour map of the function. f(x, y) = e y/x 11. Question DetailsSCalcET [ ] Find the limit, if it exists. (f the limit does not exist, enter DNE in the answer box.) 12. Question DetailsSCalcET M. [ ] Find the limit, if it exists. (f the limit does not exist, enter DNE in the answer box.) Page 4 of 6
5 Tutorial 13. Question DetailsSCalcET [ ] Find the limit, if it exists. (f the limit does not exist, enter DNE in the answer box.) 14. Question DetailsSCalcET [ ] Find the limit, if it exists. (f the limit does not exist, enter DNE in the answer box.) 15. Question DetailsSCalcET [ ] Find the limit, if it exists. (f the limit does not exist, enter DNE in the answer box.) 16. Question DetailsSCalcET [ ] Find the limit, if it exists, or show that the limit does not exist. (f an answer does not exist, enter DNE. Do this on paper. Your instructor may ask you to turn in this work.) 17. Question DetailsSCalcET [ ] Determine the set of points at which the function is continuous. D = {(x, y) x? } 18. Question DetailsSCalcET M. [ ] Determine the set of points at which the function is continuous. F(x, y) = arctan(x 5 + y ) D = {(x, y) y?,?, x?,? } Tutorial 19. Question DetailsSCalcET [ ] Determine the set of points at which the function is continuous. D = {(x, y) y? } 20. Question DetailsSCalcET [824893] Use polar coordinates to find the limit. [f (r, θ) are polar coordinates of the point (x, y) with r 0, note that r 0 + as (x, y) (0, 0).] (f an answer does not exist, enter DNE.) 21. Question DetailsSCalcET [824749] Determine the set of points at which the function is continuous. (Enter NONE if the function is continuous for on R 2.) Page 5 of 6
6 D = {(x, y) (x, y) (, )} Assignment Details Name (AD): Sections 14.1 and 14.2 ( ) Submissions Allowed: 5 Category: Homework Code: Locked: No Author: Simic, Slobodan ( simic@math.sjsu.edu ) Last Saved: Sep 14, :26 PM PDT Permission: Protected Randomization: Person Which graded: Last Feedback Settings Before due date Question Score Assignment Score Publish Essay Scores Question Part Score Mark Add Practice Button Help/Hints Response Save Work After due date Question Score Assignment Score Publish Essay Scores Key Question Part Score Solution Mark Add Practice Button Help/Hints Response Page 6 of 6
266&deployment= &UserPass=b3733cde68af274d036da170749a68f6
Sections 14.6 and 14.7 (1482266) Question 12345678910111213141516171819202122 Due: Thu Oct 21 2010 11:59 PM PDT 1. Question DetailsSCalcET6 14.6.012. [1289020] Find the directional derivative, D u f, of
More informationQuestion Description
42 Advanced [Fa18003] (13051841) Question 1 2 3 4 5 6 7 8 Description This assignment is mostly a graphing assignment. It is not possible for WebAssign to give you feedback on graphs that you create. Instead,
More information9/11/2017 Assignment Previewer
41 Multivariable Functions I (10998039) Due: Wed Sep 13 2017 03:00 PM MDT Question 1 2 3 4 5 6 7 8 9 10 11 Instructions Notes and Learning Goals Flash Graphing App 1. Question Details SCalcET8 14.1.007.
More information0/2 points STrig2 3.T.001. [ ] 0/2 points STrig2 3.T.002. [ ] 0/2 points STrig2 3.T.003. [ ]
M108, E3 (3451491) Current Score: 0/31 Due: Wed Jun 11 2014 06:00 PM AKDT Question Points 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 0/2 0/2 0/2 0/4 0/1 0/2 0/1 0/1 0/1 0/1 0/2 0/1 0/1 0/1 0/1
More information1 of 6 9/4/2012 6:43 PM
1 of 6 9/4/2012 6:43 PM 4. Quiz Ch 4 (1978683) Question 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 1. Question Details McKEAlg9 4.1.001. [1669361] Solve the following system of linear equations by graphing.
More informationCalculus 3 Exam 2 31 October 2017
Calculus 3 Exam 2 31 October 2017 Name: Instructions: Be sure to read each problem s directions. Write clearly during the exam and fully erase or mark out anything you do not want graded. You may use your
More informationReview Sheet for Math 230, Midterm exam 2. Fall 2006
Review Sheet for Math 230, Midterm exam 2. Fall 2006 October 31, 2006 The second midterm exam will take place: Monday, November 13, from 8:15 to 9:30 pm. It will cover chapter 15 and sections 16.1 16.4,
More informationNow we are going to introduce a new horizontal axis that we will call y, so that we have a 3-dimensional coordinate system (x, y, z).
Example 1. A circular cone At the right is the graph of the function z = g(x) = 16 x (0 x ) Put a scale on the axes. Calculate g(2) and illustrate this on the diagram: g(2) = 8 Now we are going to introduce
More informationDetermine if the function is even, odd, or neither. 1) f(x) = 8x4 + 7x + 5 A) Even B) Odd C) Neither
Assignment 6 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Determine if the function is even, odd, or neither. 1) f(x) = 8x4 + 7x + 5 1) A)
More informationMATH Exam 2 Solutions November 16, 2015
MATH 1.54 Exam Solutions November 16, 15 1. Suppose f(x, y) is a differentiable function such that it and its derivatives take on the following values: (x, y) f(x, y) f x (x, y) f y (x, y) f xx (x, y)
More informationPre-AP Algebra 2 Unit 8 - Lesson 2 Graphing rational functions by plugging in numbers; feature analysis
Pre-AP Algebra 2 Unit 8 - Lesson 2 Graphing rational functions by plugging in numbers; feature analysis Objectives: Students will be able to: Analyze the features of a rational function: determine domain,
More informationSection 7.2 Logarithmic Functions
Math 150 c Lynch 1 of 6 Section 7.2 Logarithmic Functions Definition. Let a be any positive number not equal to 1. The logarithm of x to the base a is y if and only if a y = x. The number y is denoted
More informationMATH 105: Midterm #1 Practice Problems
Name: MATH 105: Midterm #1 Practice Problems 1. TRUE or FALSE, plus explanation. Give a full-word answer TRUE or FALSE. If the statement is true, explain why, using concepts and results from class to justify
More informationMath 2411 Calc III Practice Exam 2
Math 2411 Calc III Practice Exam 2 This is a practice exam. The actual exam consists of questions of the type found in this practice exam, but will be shorter. If you have questions do not hesitate to
More informationMath Final Exam - 6/11/2015
Math 200 - Final Exam - 6/11/2015 Name: Section: Section Class/Times Instructor Section Class/Times Instructor 1 9:00%AM ( 9:50%AM Papadopoulos,%Dimitrios 11 1:00%PM ( 1:50%PM Swartz,%Kenneth 2 11:00%AM
More informationMATH 259 FINAL EXAM. Friday, May 8, Alexandra Oleksii Reshma Stephen William Klimova Mostovyi Ramadurai Russel Boney A C D G H B F E
MATH 259 FINAL EXAM 1 Friday, May 8, 2009. NAME: Alexandra Oleksii Reshma Stephen William Klimova Mostovyi Ramadurai Russel Boney A C D G H B F E Instructions: 1. Do not separate the pages of the exam.
More informationThis exam contains 9 problems. CHECK THAT YOU HAVE A COMPLETE EXAM.
Math 126 Final Examination Winter 2012 Your Name Your Signature Student ID # Quiz Section Professor s Name TA s Name This exam contains 9 problems. CHECK THAT YOU HAVE A COMPLETE EXAM. This exam is closed
More informationANNOUNCEMENTS. GOOD MORNING or GOOD AFTERNOON AGENDA FOR TODAY. Quickly Review Absolute Values Graphing Quadratics. Vertex Form Calculator Activity
ANNOUNCEMENTS GOOD MORNING or GOOD AFTERNOON AGENDA FOR TODAY Quickly Review Absolute Values Graphing Quadratics Vertex Form Calculator Activity M314 Algebra II Section 9-4 and 9-5: Quadratics Presented
More information11.2 LIMITS AND CONTINUITY
11. LIMITS AND CONTINUITY INTRODUCTION: Consider functions of one variable y = f(x). If you are told that f(x) is continuous at x = a, explain what the graph looks like near x = a. Formal definition of
More informationMath 1310: Intermediate Algebra Computer Enhanced and Self-Paced
How to Register for ALEKS 1. Go to www.aleks.com. Select New user Sign up now 2. Enter the course code J4QVC-EJULX in the K-12/Higher education orange box. Then select continue. 3. Confirm your enrollment
More informationUniversity of North Georgia Department of Mathematics
University of North Georgia Department of Mathematics Instructor: Berhanu Kidane Course: College Algebra Math 1111 Text Book: For this course we use the free e book by Stitz and Zeager with link: http://www.stitz-zeager.com/szca07042013.pdf
More informationLogarithmic Functions and Their Graphs
Logarithmic Functions and Their Graphs Accelerated Pre-Calculus Mr. Niedert Accelerated Pre-Calculus Logarithmic Functions and Their Graphs Mr. Niedert 1 / 24 Logarithmic Functions and Their Graphs 1 Logarithmic
More informationMATH 261 EXAM II PRACTICE PROBLEMS
MATH 61 EXAM II PRACTICE PROBLEMS These practice problems are pulled from actual midterms in previous semesters. Exam typically has 6 problems on it, with no more than one problem of any given type (e.g.,
More informationSect 4.5 Inequalities Involving Quadratic Function
71 Sect 4. Inequalities Involving Quadratic Function Objective #0: Solving Inequalities using a graph Use the graph to the right to find the following: Ex. 1 a) Find the intervals where f(x) > 0. b) Find
More informationHomework Questions 2.5 LINEAR EXPRESSIONS AND EQUATIONS
Homework Questions 2.5 LINEAR EXPRESSIONS AND EQUATIONS See the Student Electronic Resources for: Electronic version of this homework assignment (.doc file), including sketch pages Electronic images of
More informationFunctions of more than one variable
Chapter 3 Functions of more than one variable 3.1 Functions of two variables and their graphs 3.1.1 Definition A function of two variables has two ingredients: a domain and a rule. The domain of the function
More informationYou could identify a point on the graph of a function as (x,y) or (x, f(x)). You may have only one function value for each x number.
Function Before we review exponential and logarithmic functions, let's review the definition of a function and the graph of a function. A function is just a rule. The rule links one number to a second
More informationGCSE (9-1) Grade 8/9 Transforming Graphs
Name:.. Total Marks: GCSE (9-1) Grade 8/9 Transforming Graphs Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name. Answer all questions. Answer the questions
More informationMath 5BI: Problem Set 1 Linearizing functions of several variables
Math 5BI: Problem Set Linearizing functions of several variables March 9, A. Dot and cross products There are two special operations for vectors in R that are extremely useful, the dot and cross products.
More informationCalculus II Fall 2014
Calculus II Fall 2014 Lecture 3 Partial Derivatives Eitan Angel University of Colorado Monday, December 1, 2014 E. Angel (CU) Calculus II 1 Dec 1 / 13 Introduction Much of the calculus of several variables
More informationDefinitions and claims functions of several variables
Definitions and claims functions of several variables In the Euclidian space I n of all real n-dimensional vectors x = (x 1, x,..., x n ) the following are defined: x + y = (x 1 + y 1, x + y,..., x n +
More informationMath Exam 1 Review Fall 2009
Note: This is NOT a practice exam. It is a collection of problems to help you review some of the material for the exam and to practice some kinds of problems. This collection is not necessarily exhaustive.
More informationDifferentiable functions (Sec. 14.4)
Math 20C Multivariable Calculus Lecture 3 Differentiable functions (Sec. 4.4) Review: Partial derivatives. Slide Partial derivatives and continuity. Equation of the tangent plane. Differentiable functions.
More informationHW4: The Game of Pig Due date: Thursday, Oct. 29 th at 9pm. Late turn-in deadline is Tuesday, Nov. 3 rd at 9pm.
HW4: The Game of Pig Due date: Thursday, Oct. 29 th at 9pm. Late turn-in deadline is Tuesday, Nov. 3 rd at 9pm. 1. Background: Pig is a folk jeopardy dice game described by John Scarne in 1945, and was
More informationMath 206 First Midterm February 1, 2012
Math 206 First Midterm February 1, 2012 Name: Instructor: Section: 1. Do not open this exam until you are told to do so. 2. This exam has 7 pages including this cover AND IS DOUBLE SIDED. There are 8 problems.
More information33. Riemann Summation over Rectangular Regions
. iemann Summation over ectangular egions A rectangular region in the xy-plane can be defined using compound inequalities, where x and y are each bound by constants such that a x a and b y b. Let z = f(x,
More informationPractice Test 3 (longer than the actual test will be) 1. Solve the following inequalities. Give solutions in interval notation. (Expect 1 or 2.
MAT 115 Spring 2015 Practice Test 3 (longer than the actual test will be) Part I: No Calculators. Show work. 1. Solve the following inequalities. Give solutions in interval notation. (Expect 1 or 2.) a.
More informationThe Sine Function. Precalculus: Graphs of Sine and Cosine
Concepts: Graphs of Sine, Cosine, Sinusoids, Terminology (amplitude, period, phase shift, frequency). The Sine Function Domain: x R Range: y [ 1, 1] Continuity: continuous for all x Increasing-decreasing
More information1.6. QUADRIC SURFACES 53. Figure 1.18: Parabola y = 2x 2. Figure 1.19: Parabola x = 2y 2
1.6. QUADRIC SURFACES 53 Figure 1.18: Parabola y = 2 1.6 Quadric Surfaces Figure 1.19: Parabola x = 2y 2 1.6.1 Brief review of Conic Sections You may need to review conic sections for this to make more
More informationHomework 5 Due April 28, 2017
Homework 5 Due April 28, 2017 Submissions are due by 11:59PM on the specified due date. Submissions may be made on the Blackboard course site under the Assignments tab. Late submissions will not be accepted.
More informationM.I. Transformations of Functions
M.I. Transformations of Functions Do Now: A parabola with equation y = (x 3) 2 + 8 is translated. The image of the parabola after the translation has an equation of y = (x + 5) 2 4. Describe the movement.
More informationPREREQUISITE/PRE-CALCULUS REVIEW
PREREQUISITE/PRE-CALCULUS REVIEW Introduction This review sheet is a summary of most of the main topics that you should already be familiar with from your pre-calculus and trigonometry course(s), and which
More informationDiscussion 8 Solution Thursday, February 10th. Consider the function f(x, y) := y 2 x 2.
Discussion 8 Solution Thursday, February 10th. 1. Consider the function f(x, y) := y 2 x 2. (a) This function is a mapping from R n to R m. Determine the values of n and m. The value of n is 2 corresponding
More informationSimilarly, the point marked in red below is a local minimum for the function, since there are no points nearby that are lower than it:
Extreme Values of Multivariate Functions Our next task is to develop a method for determining local extremes of multivariate functions, as well as absolute extremes of multivariate functions on closed
More informationDetermine the intercepts of the line and ellipse below: Definition: An intercept is a point of a graph on an axis. Line: x intercept(s)
Topic 1 1 Intercepts and Lines Definition: An intercept is a point of a graph on an axis. For an equation Involving ordered pairs (x, y): x intercepts (a, 0) y intercepts (0, b) where a and b are real
More informationGRAPHING TRIGONOMETRIC FUNCTIONS
GRAPHING TRIGONOMETRIC FUNCTIONS Section.6B Precalculus PreAP/Dual, Revised 7 viet.dang@humbleisd.net 8//8 : AM.6B: Graphing Trig Functions REVIEW OF GRAPHS 8//8 : AM.6B: Graphing Trig Functions A. Equation:
More informationFUNCTIONS OF SEVERAL VARIABLES AND PARTIAL DIFFERENTIATION
FUNCTIONS OF SEVERAL VARIABLES AND PARTIAL DIFFERENTIATION 1. Functions of Several Variables A function of two variables is a rule that assigns a real number f(x, y) to each ordered pair of real numbers
More informationExamples: Find the domain and range of the function f(x, y) = 1 x y 2.
Multivariate Functions In this chapter, we will return to scalar functions; thus the functions that we consider will output points in space as opposed to vectors. However, in contrast to the majority of
More informationRoots of Quadratic Functions
LESSON 12 Roots of Quadratic Functions LEARNING OBJECTIVES Today I am: sketching parabolas with limited information. So that I can: identify the strengths of each form of a quadratic equation. I ll know
More informationMath 148 Exam III Practice Problems
Math 48 Exam III Practice Problems This review should not be used as your sole source for preparation for the exam. You should also re-work all examples given in lecture, all homework problems, all lab
More informationART 137: Fundamentals of Drawing Summer Session 2010 Professor Erik Shearer
ART 137: Fundamentals of Drawing Summer Session 2010 Professor Erik Shearer Contact: eshearer@napavalley.edu Course Information This course meets on s, s, and s from 10:00am to 2:50pm, from June 15 July
More informationMath 232. Calculus III Limits and Continuity. Updated: January 13, 2016 Calculus III Section 14.2
Math 232 Calculus III Brian Veitch Fall 2015 Northern Illinois University 14.2 Limits and Continuity In this section our goal is to evaluate its of the form f(x, y) = L Let s take a look back at its in
More informationLevel 2 Media Studies, 2015
91251 912510 2SUPERVISOR S USE ONLY Level 2 Media Studies, 2015 91251 Demonstrate understanding of an aspect of a media genre 2.00 p.m. Monday 16 November 2015 Credits: Four Achievement Achievement with
More informationLesson 6.1 Linear Equation Review
Name: Lesson 6.1 Linear Equation Review Vocabulary Equation: a math sentence that contains Linear: makes a straight line (no Variables: quantities represented by (often x and y) Function: equations can
More informationCalculus IV Math 2443 Review for Exam 2 on Mon Oct 24, 2016 Exam 2 will cover This is only a sample. Try all the homework problems.
Calculus IV Math 443 eview for xam on Mon Oct 4, 6 xam will cover 5. 5.. This is only a sample. Try all the homework problems. () o not evaluated the integral. Write as iterated integrals: (x + y )dv,
More informationInstructions: Good luck! Math 21a Second Midterm Exam Spring, 2009
Your Name Your Signature Instructions: Please begin by printing and signing your name in the boxes above and by checking your section in the box to the right You are allowed 2 hours (120 minutes) for this
More informationExam 2 Summary. 1. The domain of a function is the set of all possible inputes of the function and the range is the set of all outputs.
Exam 2 Summary Disclaimer: The exam 2 covers lectures 9-15, inclusive. This is mostly about limits, continuity and differentiation of functions of 2 and 3 variables, and some applications. The complete
More informationARTS 110: Fundamentals of Drawing Fall 2011 Professor Erik Shearer Contact: Office: / Cell: (707)
ARTS 110: Fundamentals of Drawing Fall 2011 Professor Erik Shearer Contact: eshearer@napavalley.edu Office: 259 8978 / Cell: (707) 337 3979 Course Information This course meets on Monday / Wednesday 9:30
More informationWhat is a Sine Function Graph? U4 L2 Relate Circle to Sine Activity.pdf
Math 3 Unit 6, Trigonometry L04: Amplitude and Period of Sine and Cosine AND Translations of Sine and Cosine Functions WIMD: What I must do: I will find the amplitude and period from a graph of the sine
More informationWelcome to Math! Put last night s homework on your desk and begin your warm-up (the other worksheet that you chose to save for today)
Welcome to Math! Put last night s homework on your desk and begin your warm-up (the other worksheet that you chose to save for today) Unit Map - Geometry Thursday - Parallel Lines Cut by a Transversal
More informationComputer Programming ECIV 2303 Chapter 5 Two-Dimensional Plots Instructor: Dr. Talal Skaik Islamic University of Gaza Faculty of Engineering
Computer Programming ECIV 2303 Chapter 5 Two-Dimensional Plots Instructor: Dr. Talal Skaik Islamic University of Gaza Faculty of Engineering 1 Introduction Plots are a very useful tool for presenting information.
More informationEELE 201 Circuits I. Fall 2013 (4 Credits)
EELE 201 Circuits I Instructor: Fall 2013 (4 Credits) Jim Becker 535 Cobleigh Hall 994-5988 Office hours: Monday 2:30-3:30 pm and Wednesday 3:30-4:30 pm or by appointment EMAIL: For EELE 201-related questions,
More informationUse smooth curves to complete the graph between and beyond the vertical asymptotes.
5.3 Graphs of Rational Functions Guidelines for Graphing Rational Functions 1. Find and plot the x-intercepts. (Set numerator = 0 and solve for x) 2. Find and plot the y-intercepts. (Let x = 0 and solve
More informationLevel Curves in Matlab
College of the Redwoods Mathematics Department Multivariable Calculus Level Curves in Matlab David Arnold Directory Table of Contents. Begin Article. Copyright c 999 darnold@northcoast.com Last Revision
More informationPractice problems from old exams for math 233
Practice problems from old exams for math 233 William H. Meeks III October 26, 2012 Disclaimer: Your instructor covers far more materials that we can possibly fit into a four/five questions exams. These
More informationChapter 3 Exponential and Logarithmic Functions
Chapter 3 Exponential and Logarithmic Functions Section 1 Section 2 Section 3 Section 4 Section 5 Exponential Functions and Their Graphs Logarithmic Functions and Their Graphs Properties of Logarithms
More informationHW4: The Game of Pig Due date: Tuesday, Mar 15 th at 9pm. Late turn-in deadline is Thursday, Mar 17th at 9pm.
HW4: The Game of Pig Due date: Tuesday, Mar 15 th at 9pm. Late turn-in deadline is Thursday, Mar 17th at 9pm. 1. Background: Pig is a folk jeopardy dice game described by John Scarne in 1945, and was an
More informationName: Which equation is represented in the graph? Which equation is represented by the graph? 1. y = 2 sin 2x 2. y = sin x. 1.
Name: Print Close Which equation is represented in the graph? Which equation is represented by the graph? y = 2 sin 2x y = sin x y = 2 sin x 4. y = sin 2x Which equation is represented in the graph? 4.
More informationALGEBRA 2 HONORS QUADRATIC FUNCTIONS TOURNAMENT REVIEW
ALGEBRA 2 HONORS QUADRATIC FUNCTIONS TOURNAMENT REVIEW Thanks for downloading my product! Be sure to follow me for new products, free items and upcoming sales. www.teacherspayteachers.com/store/jean-adams
More informationThe Common Application
The Common Application Used by over 500 4-year colleges and universities around the country and world some of the most popular ones for SMC students are USC, Loyola Marymount, Pepperdine and NYU One application
More informationName: ID: Section: Math 233 Exam 2. Page 1. This exam has 17 questions:
Page Name: ID: Section: This exam has 7 questions: 5 multiple choice questions worth 5 points each. 2 hand graded questions worth 25 points total. Important: No graphing calculators! Any non scientific
More informationMAT B41 SUMMER 2018 MOCK TERM TEST - VERSION A
NAME (PRINT): Last / Surname First / Given Name STUDENT #: MAT B41 SUMMER 2018 MOCK TERM TEST - VERSION A Problem MC Part II III-1 III-2 III-3 III-4 Bonus Total Points 40 12 12 12 12 12 +5 100 Score Tutorial
More informationUNIT 2: FACTOR QUADRATIC EXPRESSIONS. By the end of this unit, I will be able to:
UNIT 2: FACTOR QUADRATIC EXPRESSIONS UNIT 2 By the end of this unit, I will be able to: o Represent situations using quadratic expressions in one variable o Expand and simplify quadratic expressions in
More informationChapter 16. Partial Derivatives
Chapter 16 Partial Derivatives The use of contour lines to help understand a function whose domain is part of the plane goes back to the year 1774. A group of surveyors had collected a large number of
More informationFor Questions 1-15, NO CALCULATOR!
For Questions 1-15, NO CALCULATOR! 1. Identify the y-intercept: Identify the vertex: 2. The revenue, R(x), generated by an increase in price of x dollars for an item is represented by the equation Identify
More information[f(t)] 2 + [g(t)] 2 + [h(t)] 2 dt. [f(u)] 2 + [g(u)] 2 + [h(u)] 2 du. The Fundamental Theorem of Calculus implies that s(t) is differentiable and
Midterm 2 review Math 265 Fall 2007 13.3. Arc Length and Curvature. Assume that the curve C is described by the vector-valued function r(r) = f(t), g(t), h(t), and that C is traversed exactly once as t
More informationMath for Economics 1 New York University FINAL EXAM, Fall 2013 VERSION A
Math for Economics 1 New York University FINAL EXAM, Fall 2013 VERSION A Name: ID: Circle your instructor and lecture below: Jankowski-001 Jankowski-006 Ramakrishnan-013 Read all of the following information
More informationCHAPTER 11 PARTIAL DERIVATIVES
CHAPTER 11 PARTIAL DERIVATIVES 1. FUNCTIONS OF SEVERAL VARIABLES A) Definition: A function of two variables is a rule that assigns to each ordered pair of real numbers (x,y) in a set D a unique real number
More informationMath 259 Winter Recitation Handout 6: Limits in Two Dimensions
Math 259 Winter 2009 Recitation Handout 6: its in Two Dimensions As we have discussed in lecture, investigating the behavior of functions with two variables, f(x, y), can be more difficult than functions
More informationLogs and Exponentials Higher.notebook February 26, Daily Practice
Daily Practice 2.2.2015 Daily Practice 3.2.2015 Today we will be learning about exponential functions and logs. Homework due! Need to know for Unit Test 2: Expressions and Functions Adding and subtracng
More informationMathematics 205 HWK 19b Solutions Section 16.2 p750. (x 2 y) dy dx. 2x 2 3
Mathematics 5 HWK 9b Solutions Section 6. p75 Problem, 6., p75. Evaluate (x y) dy dx. Solution. (x y) dy dx x ( ) y dy dx [ x x dx ] [ ] y x dx Problem 9, 6., p75. For the region as shown, write f da as
More informationGraphing Motion Simulation 8 th Grade PSI Score / 23 points. Learning Goals: Be able to describe movement by looking at a motion graph
Graphing Motion Simulation Name 8 th Grade PSI Score / 23 points Learning Goals: Be able to describe movement by looking at a motion graph Directions: Open up the simulation Moving Man. Either type in:
More informationProblem types in Calculus
Problem types in Calculus Oliver Knill October 17, 2006 Abstract We discuss different type of problems in calculus and attach a vector (concept, complexity,applicability) to each problem. This can help
More informationThe Picture Tells the Linear Story
The Picture Tells the Linear Story Students investigate the relationship between constants and coefficients in a linear equation and the resulting slopes and y-intercepts on the graphs. This activity also
More informationANSWER KEY. (a) For each of the following partials derivatives, use the contour plot to decide whether they are positive, negative, or zero.
Math 2130-101 Test #2 for Section 101 October 14 th, 2009 ANSWE KEY 1. (10 points) Compute the curvature of r(t) = (t + 2, 3t + 4, 5t + 6). r (t) = (1, 3, 5) r (t) = 1 2 + 3 2 + 5 2 = 35 T(t) = 1 r (t)
More informationGeneral Functions and Graphs
General Functions and Graphs Section 7 Functions Graphs and Symmetry Functions can be represented both as algebraic expressions and as graphs. So far we have concentrated on algebraic operations related
More informationTest Yourself. 11. The angle in degrees between u and w. 12. A vector parallel to v, but of length 2.
Test Yourself These are problems you might see in a vector calculus course. They are general questions and are meant for practice. The key follows, but only with the answers. an you fill in the blanks
More informationECE 8771, Information Theory & Coding for Digital Communications Summer 2010 Syllabus & Outline (Draft 1 - May 12, 2010)
ECE 8771, Information Theory & Coding for Digital Communications Summer 2010 Syllabus & Outline (Draft 1 - May 12, 2010) Instructor: Kevin Buckley, Tolentine 433a, 610-519-5658 (W), 610-519-4436 (F), buckley@ece.vill.edu,
More informationGraphs of Polynomial Functions. Quadratic Functions
Graphs of Polnomials 1 Graphs of Polnomial Functions Recall that the degree of a polnomial is the highest power of the independent variable appearing in it. A polnomial can have no more roots than its
More informationReview guide for midterm 2 in Math 233 March 30, 2009
Review guide for midterm 2 in Math 2 March, 29 Midterm 2 covers material that begins approximately with the definition of partial derivatives in Chapter 4. and ends approximately with methods for calculating
More informationMath Lecture 2 Inverse Functions & Logarithms
Math 1060 Lecture 2 Inverse Functions & Logarithms Outline Summary of last lecture Inverse Functions Domain, codomain, and range One-to-one functions Inverse functions Inverse trig functions Logarithms
More informationMATH FCAT PRACTICE (Grade 10, Lesson 6, Part A)
MATH FCAT PRACTICE (Grade 10, Lesson 6, Part A) 1. Semicircles are constructed on the sides of an equilateral triangle, as shown in the figure above. Of the following, which best approximates the sum of
More informationEE 4314 Lab 3 Handout Speed Control of the DC Motor System Using a PID Controller Fall Lab Information
EE 4314 Lab 3 Handout Speed Control of the DC Motor System Using a PID Controller Fall 2012 IMPORTANT: This handout is common for all workbenches. 1. Lab Information a) Date, Time, Location, and Report
More informationSYDE 112, LECTURE 34 & 35: Optimization on Restricted Domains and Lagrange Multipliers
SYDE 112, LECTURE 34 & 35: Optimization on Restricted Domains and Lagrange Multipliers 1 Restricted Domains If we are asked to determine the maximal and minimal values of an arbitrary multivariable function
More informationLesson 11: Linear and Exponential Investigations
Hart Interactive Algebra Lesson Lesson : Linear and Exponential Investigations Opening Exercise In this lesson, you ll be exploring linear and exponential function in five different investigations. You
More informationPrecalculus Lesson 9.2 Graphs of Polar Equations Mrs. Snow, Instructor
Precalculus Lesson 9.2 Graphs of Polar Equations Mrs. Snow, Instructor As we studied last section points may be described in polar form or rectangular form. Likewise an equation may be written using either
More informationUniversity of California, Berkeley Department of Mathematics 5 th November, 2012, 12:10-12:55 pm MATH 53 - Test #2
University of California, Berkeley epartment of Mathematics 5 th November, 212, 12:1-12:55 pm MATH 53 - Test #2 Last Name: First Name: Student Number: iscussion Section: Name of GSI: Record your answers
More informationRequired Background (You must satisfy All of the following requirements ) BSEE GPA>3 for technical Courses
Syllabus of EL6033 Grading Policy Midterm Exam: 35% Final Exam: 35% Homework and Class Participation (email discussions): 30% Required Background (You must satisfy All of the following requirements ) BSEE
More informationExam 2 Review Sheet. r(t) = x(t), y(t), z(t)
Exam 2 Review Sheet Joseph Breen Particle Motion Recall that a parametric curve given by: r(t) = x(t), y(t), z(t) can be interpreted as the position of a particle. Then the derivative represents the particle
More informationGraphing Sine and Cosine
The problem with average monthly temperatures on the preview worksheet is an example of a periodic function. Periodic functions are defined on p.254 Periodic functions repeat themselves each period. The
More information