In Problem use a graphing calculator as necessary to explore the graphs of the indicated cross sections.

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In Problem use a graphing calculator as necessary to explore the graphs of the indicated cross sections.

Let f(x, y) = e-(x2 + y2).

(A) Explain why f(a, b) = f(c, d) whenever (a, b) and (c, d) are points on the same circle centered at the origin in the xy plane.

(B) Describe the cross sections of the surface z = f(x, y) produced by cutting it with the planes x = 0, y = 0, and x = y.

(C) Describe the surface z = f(x, y).

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College Mathematics For Business Economics, Life Sciences, And Social Sciences

ISBN: 978-0134674148

14th Edition

Authors: Raymond Barnett, Michael Ziegler, Karl Byleen, Christopher Stocker

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