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For the surface given by z = f(x, y) = x* – 6x² + 3y² – y' which of the following is true. Select one: a. When x > 1 or x < -1 and y > 1 ƒ(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 1 or x < -1 and y > 1 ƒ(x, y) is neither convex nor concave. When x > 1 or x < -1 and y < 1 f(x, y) is concave. When -1 1 f(x, y) is convex. When -1 < x <1 and y < 1 f(x, y) is neither convex nor concave. Oc. 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. 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.

For the surface given by z = f(x, y) = x* – 6x² + 3y² – y' which of the following is true. Select one: a. When x > 1 or x < -1 and y > 1 ƒ(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 1 or x < -1 and y > 1 ƒ(x, y) is neither convex nor concave. When x > 1 or x < -1 and y < 1 f(x, y) is concave. When -1 1 f(x, y) is convex. When -1 < x <1 and y < 1 f(x, y) is neither convex nor concave. Oc. 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. 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.

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 z = {(x, y) = x* – 6x? + 3y² = y³ which of the following is true. Select one: a. 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 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. O c. 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. When -1 <x < I and y > 1 f(x, y) is concave. When -1 < x < 1 and y < 1 f(x,y) is neither convex nor concave. O d. None of these O e. When x> 1 or x < -1 and y > 1 ƒ(x, y) is convex. When x > 1 or x < -1 and y < 1 ƒ(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.
Transcribed Image Text:For the surface given by z = {(x, y) = x* – 6x? + 3y² = y³ which of the following is true. Select one: a. 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 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. O c. 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. When -1 <x < I and y > 1 f(x, y) is concave. When -1 < x < 1 and y < 1 f(x,y) is neither convex nor concave. O d. None of these O e. When x> 1 or x < -1 and y > 1 ƒ(x, y) is convex. When x > 1 or x < -1 and y < 1 ƒ(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.
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