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For ONE of the following, sketch level curves (a.k.a., contour lines) for f(x, y). (Be sure to label the height/z-value next to each curve.) Sketch (and explain the shape of) this surface. Explain how this would change if the equation were multiplied by -1. a. f(x, y) = (x² + y²)¹/2 b. f(x, y) = 2x²-y²

For ONE of the following, sketch level curves (a.k.a., contour lines) for f(x, y). (Be sure to label the height/z-value next to each curve.) Sketch (and explain the shape of) this surface. Explain how this would change if the equation were multiplied by -1. a. f(x, y) = (x² + y²)¹/2 b. f(x, y) = 2x²-y²

Advanced Engineering Mathematics
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 ONE of the following, sketch level curves (a.k.a., contour lines) for f(x, y). (Be sure to label the height/z-value next to each curve.) Sketch (and explain the shape of) this surface. Explain how this would 3) change if the equation were multiplied by -1. a. f(x, y) = (x² + y²)¹/2 b. f(x, y) = 2x² - y²
Transcribed Image Text:For ONE of the following, sketch level curves (a.k.a., contour lines) for f(x, y). (Be sure to label the height/z-value next to each curve.) Sketch (and explain the shape of) this surface. Explain how this would 3) change if the equation were multiplied by -1. a. f(x, y) = (x² + y²)¹/2 b. f(x, y) = 2x² - y²
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