Evaluate the integral using cylindrical coordinates: fff³ 3 sin(x² + y²) dx dy dz

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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ed
Evaluate the integral using cylindrical coordinates:
where T: 0≤x≤ 1, 0≤ y ≤ √1-x², 0≤x≤2
a) O
b) O
d)
3π
4
O
9
2
3π
4
3
-cos(1)
9
c) 3π - 3π cos(1)
2
² cos(1)
3
²-7²³ cos (1)
2
3π 3π
2 2
-cos(1)
JJf³ 3 sin (r² + y²) dx dy dz
f) O None of these.
Question 11
Find the volume of the solid bounded above by the cone
Review Later
+y², below by the xy-plane, and on the sides by the cylinder
Transcribed Image Text:ed Evaluate the integral using cylindrical coordinates: where T: 0≤x≤ 1, 0≤ y ≤ √1-x², 0≤x≤2 a) O b) O d) 3π 4 O 9 2 3π 4 3 -cos(1) 9 c) 3π - 3π cos(1) 2 ² cos(1) 3 ²-7²³ cos (1) 2 3π 3π 2 2 -cos(1) JJf³ 3 sin (r² + y²) dx dy dz f) O None of these. Question 11 Find the volume of the solid bounded above by the cone Review Later +y², below by the xy-plane, and on the sides by the cylinder
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