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When z = f(x,y), which of the following is true for the whole statement? O ddz = f"(x).dx² and dx2 is always zero, so f"(x) will determine the sign of d2z. d2z = f"(x).dx2 and dx2 is always zero, so f'(x) will determine the sign of d²z. 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. O d2z = f"(x).dx² and dx2 is always positive, so f"(X) will determine the sign of d2z.

When z = f(x,y), which of the following is true for the whole statement? O ddz = f"(x).dx² and dx2 is always zero, so f"(x) will determine the sign of d2z. d2z = f"(x).dx2 and dx2 is always zero, so f'(x) will determine the sign of d²z. 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. O d2z = f"(x).dx² and dx2 is always positive, so f"(X) will determine the sign of d2z.

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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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 d2z = f'(x).dx² and dx2 is always zero, so f'(x) will determine the sign of dz. O d²z = f"(x).dx² and dx2 is always positive, so f"(x) will not determine the sign of d²z. O ddz = f"(x).dx2 and dx2 is always negative, so f"(x) will determine the sign of d2z. O d²z = f"(X).dx² and dx2 is always positive, so f"(X) will determine the sign of d2z.
Transcribed Image Text: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 d2z = f'(x).dx² and dx2 is always zero, so f'(x) will determine the sign of dz. O d²z = f"(x).dx² and dx2 is always positive, so f"(x) will not determine the sign of d²z. O ddz = f"(x).dx2 and dx2 is always negative, so f"(x) will determine the sign of d2z. O d²z = f"(X).dx² and dx2 is always positive, so f"(X) will determine the sign of d2z.
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