Define f(x, y) = 9a? + y². (1) Sketch the level curve of this function for z=36. Draw it on an xy-plane. (2) Find the gradient Vƒ at the point (2,0) and the point (0, 6). (3) Sketch the graph (surface) of this function using f(x, y) as the z-coordinate. Show all your work on your own paper. You may leave the box below blank.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 93E
icon
Related questions
Question
Define
f(x, y) = 9x? + y?.
(1) Sketch the level curve of this function for z=36. Draw it on an xy-plane.
(2) Find the gradient Vƒ at the point (2,0) and the point (0, 6).
(3) Sketch the graph (surface) of this function using f(x, y) as the z-coordinate.
Show all your work on your own paper. You may leave the box below blank.
Transcribed Image Text:Define f(x, y) = 9x? + y?. (1) Sketch the level curve of this function for z=36. Draw it on an xy-plane. (2) Find the gradient Vƒ at the point (2,0) and the point (0, 6). (3) Sketch the graph (surface) of this function using f(x, y) as the z-coordinate. Show all your work on your own paper. You may leave the box below blank.
Expert Solution
steps

Step by step

Solved in 4 steps with 6 images

Blurred answer