7 When z = f(x,y), which of the following is true for the whole statement?O d2z = f"(x).dx2 and dx2 is always zero, so f"(x) will determine the sign of d²z.O d?z = f"(x).dx² and dx2 is always zero, so f'(x) will determine the sign of d²z.%3DO d²z = f"(x).dx2 and dx2 is always positive, so f"(x) will not determine the sign of d2z.O d²z = f"(x).dx² and dx2 is always negative, so f"(x) will determine the sign of d2z.%3DO ddz = f"(x).dx² and dx2 is always positive, so f"(X) will determine the sign of d2z.

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When z = f(x,y), which of the following is true for the whole statement? %3D

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

ChapterA: Appendix

SectionA.2: Geometric Constructions

Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...

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Question

When z = f(x,y), which of the following is true for the whole statement?
O d2z = f"(x).dx2 and dx2 is always zero, so f"(x) will determine the sign of d²z.
O d?z = f"(x).dx² and dx2 is always zero, so f'(x) will determine the sign of d²z.
%3D
O d²z = f"(x).dx2 and dx2 is always positive, so f"(x) will not determine the sign of d2z.
O d²z = f"(x).dx² and dx2 is always negative, so f"(x) will determine the sign of d2z.
%3D
O ddz = f"(x).dx² and dx2 is always positive, so f"(X) will determine the sign of d2z.

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