4. 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 %3! %3D В. З С. 4,21 D. 5
4. 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 %3! %3D В. З С. 4,21 D. 5
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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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
Question

Transcribed Image Text:4. Assume that f (1,2)
the value of f (0.9,1.950).
А. 3.65 В. 3
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
= 4 and f (x, y) is differentiable at (1,2) with fx (1,2) = 2 and fy (1,2) = 3. Estimate
С. 4,21
D. 5
6. Suppose the second-order partial derivatives of the function f(r, y) exists at thr critical point (0,0).
Which of the following one is true for the critical point to be maximum?
A. frz (0,0) = 2 fyy (0,0) = 2 and zy(0,0) = 4
C. frz(0,0) = 4 fyy (0,0) = 4 and rry (0,0) = 4
B. fz (0,0) = 2 fyy (0,0) = 2 and rry (0,0) = 2
D. frz(0,0) = -4 fyy (0,0) = -4 and rry (0,0) = 4
%3D
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