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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