11. The region D bounded by x ≥ 0, z ≥ 0, y ≥ 3x and y² + 2² ≤ 9 is shown in the figure. JSS z dV = ? (b) (a) 8 (d) 1 ® 3 1000000000000 8 9 8 3 21 8 27 8 42 y = 3x z=√√9-y² 3 y kes 2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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11. The region D bounded by x ≥ 0, z ≥ 0, y ≥ 3x and
y² + 2² ≤ 9 is shown in the figure. JSS=
(b)
(c)
100 100 100 100 100
3
21
(d)
27
(a)
(b)
(c)
(d)
(e) 2
-2
-√3
y = 3x
-1
√3
z-√√√9-y²
3
y
z dV =?
12. If the derivative of the function
f (x, y, z) = e-y-csin z
(CER)
at the point Po (1,0,0) in the direction of the vecto
v=i+j-k is
2
then c =?
√3'
kes
E
Transcribed Image Text:11. The region D bounded by x ≥ 0, z ≥ 0, y ≥ 3x and y² + 2² ≤ 9 is shown in the figure. JSS= (b) (c) 100 100 100 100 100 3 21 (d) 27 (a) (b) (c) (d) (e) 2 -2 -√3 y = 3x -1 √3 z-√√√9-y² 3 y z dV =? 12. If the derivative of the function f (x, y, z) = e-y-csin z (CER) at the point Po (1,0,0) in the direction of the vecto v=i+j-k is 2 then c =? √3' kes E
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