For the function f(x,y) = 100 - x^2 - y^2 a) Draw the cross-section of f(x,y) with x fixed at x = 2. b) Draw the cross-section of f(x,y) with y fixed at y = 1. c) Draw the contour of f(x,y) with z fixed at z = -1. d) Draw a sketch of the function f(x,y). Include a label for all of them.
For the function f(x,y) = 100 - x^2 - y^2 a) Draw the cross-section of f(x,y) with x fixed at x = 2. b) Draw the cross-section of f(x,y) with y fixed at y = 1. c) Draw the contour of f(x,y) with z fixed at z = -1. d) Draw a sketch of the function f(x,y). Include a label for all of them.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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For the function f(x,y) = 100 - x^2 - y^2
a) Draw the cross-section of f(x,y) with x fixed at x = 2.
b) Draw the cross-section of f(x,y) with y fixed at y = 1.
c) Draw the contour of f(x,y) with z fixed at z = -1.
d) Draw a sketch of the function f(x,y).
Include a label for all of them.
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