Assume that f (1,2) = 4 and f (x, y) is differentiable at (1,2) with fx (1,2) = 2 and fy (1,2) = 3. Estimate the value of f (0.9,1.950). А. 3.65 В. з С. 4,21 D. 5 If the gradient of f(r,y) at (1,2) is 2i – 2j, then the maximum and minimum values for a directional derivative of f at (1, 2) are respectively A. 2/2 and -V2 B. -2/2 and v2 C. 2/2 and 2/2 D. 2/2 and -2/2

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Assume that f (1,2) = 4 and f (x, y) is differentiable at (1,2) with fx (1,2) = 2 and fy (1,2) = 3. Estimate
the value of f (0.9,1.950).
A. 3.65 B. 3 C. 4,21 D. 5
If the gradient of f(x,y) at (1,2) is 2i – 2j, then the maximum and minimum values for a directional
derivative of f at (1, 2) are respectively
A. 2/2 and -V2 B. -2/2 and v2 C. 2/2 and 2/2 D. 2/2 and -2/2
Transcribed Image Text:Assume that f (1,2) = 4 and f (x, y) is differentiable at (1,2) with fx (1,2) = 2 and fy (1,2) = 3. Estimate the value of f (0.9,1.950). A. 3.65 B. 3 C. 4,21 D. 5 If the gradient of f(x,y) at (1,2) is 2i – 2j, then the maximum and minimum values for a directional derivative of f at (1, 2) are respectively A. 2/2 and -V2 B. -2/2 and v2 C. 2/2 and 2/2 D. 2/2 and -2/2
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