1- a) c) −2ñi + (2ñ + 1)j b) 2πi + (2π − 1)j - 4пi – (2n + 1)j 2лi + (2π + 1)j 4ñi + (2ñ + 1)j Leave blank d) z = f(x, y) = sin( e) 2ny + In√ √x² + 3y² Which one of the following is the gradient vector of f(x, y) at the point P = (0, 1)?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Need only handwritten solution only (not typed one).

1-
a)
b)
c)
d)
z = f(x, y) = sin(
2ñi + (2ñ + 1)j
e) ○ 4ñi + (2ñ+1)j
2ny
+x+1
Which one of the following is the gradient vector of f(x, y) at the point P = (0, 1)?
−2лi + (2ñ + 1)j
2лi + (2π − 1)j
-
4лi - (2π + 1)j
Leave blank
+ In√x² + 3y²
Transcribed Image Text:1- a) b) c) d) z = f(x, y) = sin( 2ñi + (2ñ + 1)j e) ○ 4ñi + (2ñ+1)j 2ny +x+1 Which one of the following is the gradient vector of f(x, y) at the point P = (0, 1)? −2лi + (2ñ + 1)j 2лi + (2π − 1)j - 4лi - (2π + 1)j Leave blank + In√x² + 3y²
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