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For the surface given by Z = which of the following is true. Select one: a. b. C. f(x, y) = x¹ — 6x² + y³ − 3y² d. None of these When x > 1 or x < -1 and y > 1 f(x, y) is neither convex nor concave. When x > 1 or x < -1 and y < 1 f(x, y) is concave. When -1 < x < 1 and y> 1 f(x, y) is convex. When -1 < x < 1 and y < 1 f(x, y) is neither convex nor concave. When x > 1 or x < -1 and y> 1 f(x, y) is convex. When x > 1 or x < -1 and y < 1 f(x, y) is neither convex nor concave. When -1 1 f(x, y) is neither convex nor concave. When -1 < x < 1 and y < 1 f(x, y) is concave. When x > 1 or x < -1 and y > 1 f(x, y) is neither convex nor concave. When x > 1 or x < -1 and y < 1 f(x, y) is convex. C

For the surface given by Z = which of the following is true. Select one: a. b. C. f(x, y) = x¹ — 6x² + y³ − 3y² d. None of these When x > 1 or x < -1 and y > 1 f(x, y) is neither convex nor concave. When x > 1 or x < -1 and y < 1 f(x, y) is concave. When -1 < x < 1 and y> 1 f(x, y) is convex. When -1 < x < 1 and y < 1 f(x, y) is neither convex nor concave. When x > 1 or x < -1 and y> 1 f(x, y) is convex. When x > 1 or x < -1 and y < 1 f(x, y) is neither convex nor concave. When -1 1 f(x, y) is neither convex nor concave. When -1 < x < 1 and y < 1 f(x, y) is concave. When x > 1 or x < -1 and y > 1 f(x, y) is neither convex nor concave. When x > 1 or x < -1 and y < 1 f(x, y) is convex. C

Elementary Geometry for College Students
Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter10: Analytic Geometry
Section10.CT: Test
Problem 22CT
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For the surface given by 2 = = f(x, y) = x² - 6x² + y³ - 3y² which of the following is true. Select one: a. b. When x > 1 or x < -1 and y > 1 f(x, y) is neither convex nor concave. When x > 1 or x < -1 and y < 1 f(x, y) is concave. When -1 < x < 1 and y> 1 f(x, y) is convex. When -1 < x < 1 and y < 1 f(x, y) is neither convex nor concave. C. None of these e. When x > 1 or x < -1 and y > 1 f(x, y) is convex. When x > 1 or x < −1 and y <1 f(x, y) is neither convex nor concave. When −1 < x < 1 and y > 1 f(x, y) is neither convex nor concave. When -1 < x < 1 and y < 1 f(x, y) is concave. d. When x > 1 or x < -1 and y> 1 f(x, y) is neither convex nor concave. When a > 1 or x < -1 and y < 1 f(x, y) is convex. When -1 < x < 1 and y> 1 f(x, y) is concave. When −1 < x < 1 and y < 1 f(x, y) is neither convex nor concave. When x > 1 or x < -1 and y> 1 f(x, y) is concave. When x > 1 or x < -1 and y < 1 f(x, y) is neither convex nor concave. When -1 < x < 1 and y> 1 f(x, y) is neither convex nor concave. When -1 < x < 1 and y < 1 f(x, y) is convex. O O O O O
Transcribed Image Text:For the surface given by 2 = = f(x, y) = x² - 6x² + y³ - 3y² which of the following is true. Select one: a. b. When x > 1 or x < -1 and y > 1 f(x, y) is neither convex nor concave. When x > 1 or x < -1 and y < 1 f(x, y) is concave. When -1 < x < 1 and y> 1 f(x, y) is convex. When -1 < x < 1 and y < 1 f(x, y) is neither convex nor concave. C. None of these e. When x > 1 or x < -1 and y > 1 f(x, y) is convex. When x > 1 or x < −1 and y <1 f(x, y) is neither convex nor concave. When −1 < x < 1 and y > 1 f(x, y) is neither convex nor concave. When -1 < x < 1 and y < 1 f(x, y) is concave. d. When x > 1 or x < -1 and y> 1 f(x, y) is neither convex nor concave. When a > 1 or x < -1 and y < 1 f(x, y) is convex. When -1 < x < 1 and y> 1 f(x, y) is concave. When −1 < x < 1 and y < 1 f(x, y) is neither convex nor concave. When x > 1 or x < -1 and y> 1 f(x, y) is concave. When x > 1 or x < -1 and y < 1 f(x, y) is neither convex nor concave. When -1 < x < 1 and y> 1 f(x, y) is neither convex nor concave. When -1 < x < 1 and y < 1 f(x, y) is convex. O O O O O
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