Solve the second derivative forf (x,y,z) = sin* (x² +y²) a²f ax? x²+y² sin ت )م(. (x² +y²' sin sin 2(e cos² x² sin -2e A: (x² +y²' sin ** x² +y²' xsin sin x² +y² sin (x² +y² z cos(* +y?) (x² +y² cos2 2e +e 2(e (x² +y2 sin (x² +y² sin x² +y² sin cos² (x² +y²' +e z cos(+y²) (x² +y² x² sin -2e z sin x²+y² +e (x² +y² (x²+y² sin (x² +y² sin (x² +y² x²+y²) sin z cos( -2e D:2e 2(e E: none of above

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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1- Solve the second derivative
forf (x, y, z) = e$i
sinx² +y²)
ax
x²+y²
sin
sin
x² cos²|
cos(+y²).
sin
x? sin
(x² +y
--2e
A:2(e
(x² +y2
sin
? cos?(** +y²),
sin
sin
(**)
te
z cos(
2e
xsin
B:2(e
x- +y²
sin
+y2
sin
sin
)وشم،
cos2
? sin()
te
z cos(
2e
x²+y²
sin
sin
sin
-2e
|cos
z cos+y2)
te
2 sin
D:2(e
E: none of above
Transcribed Image Text:1- Solve the second derivative forf (x, y, z) = e$i sinx² +y²) ax x²+y² sin sin x² cos²| cos(+y²). sin x? sin (x² +y --2e A:2(e (x² +y2 sin ? cos?(** +y²), sin sin (**) te z cos( 2e xsin B:2(e x- +y² sin +y2 sin sin )وشم، cos2 ? sin() te z cos( 2e x²+y² sin sin sin -2e |cos z cos+y2) te 2 sin D:2(e E: none of above
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