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(a) Which picture below shows a level set of f(x, y, z) = x² + y²? (Notice that f is a function of 3 variables!) Explain briefly. (b) Which picture shows the graph of g(x, y) = x² + y²? (Notice that g is a function of 2 variables!) Explain briefly. (c) Which picture shows a level set of g(x, y) = x² + y²? Explain briefly. (d) Explain in complete sentences why (a) and (c) are different. Choices: (A) (D) (B) (E) (C)

(a) Which picture below shows a level set of f(x, y, z) = x² + y²? (Notice that f is a function of 3 variables!) Explain briefly. (b) Which picture shows the graph of g(x, y) = x² + y²? (Notice that g is a function of 2 variables!) Explain briefly. (c) Which picture shows a level set of g(x, y) = x² + y²? Explain briefly. (d) Explain in complete sentences why (a) and (c) are different. Choices: (A) (D) (B) (E) (C)

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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(a) Which picture below shows a level set of f(x, y, z) = x² + y²? (Notice that f is a function of 3 variables!) Explain briefly. (b) Which picture shows the graph of g(x, y) = x² + y²? (Notice that g is a function of 2 variables!) Explain briefly. (c) Which picture shows a level set of g(x, y) = x² + y²? Explain briefly. (d) Explain in complete sentences why (a) and (c) are different. Choices: (A) (D) (B) (E) (C)
Transcribed Image Text:(a) Which picture below shows a level set of f(x, y, z) = x² + y²? (Notice that f is a function of 3 variables!) Explain briefly. (b) Which picture shows the graph of g(x, y) = x² + y²? (Notice that g is a function of 2 variables!) Explain briefly. (c) Which picture shows a level set of g(x, y) = x² + y²? Explain briefly. (d) Explain in complete sentences why (a) and (c) are different. Choices: (A) (D) (B) (E) (C)
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