Use the differential volume dv to determine the volumes of the following regions: (a) 0

Calculus: Early Transcendentals
8th Edition
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Author:James Stewart
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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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3.3 and 3.10 Please.

Problems
3.3
Use the differential volume dv to determine the volumes of the following regions:
(a) 0 < x< 1, 1 < y< 2, –3 < z< 3
(b) 2 < p < 5, T/3 < ¢ < T, –1<z< 4
(c) 1<r< 3, T/2 < 0 < 2t/3, 7/6 < ¢ < T/2
Transcribed Image Text:Problems 3.3 Use the differential volume dv to determine the volumes of the following regions: (a) 0 < x< 1, 1 < y< 2, –3 < z< 3 (b) 2 < p < 5, T/3 < ¢ < T, –1<z< 4 (c) 1<r< 3, T/2 < 0 < 2t/3, 7/6 < ¢ < T/2
(b) The straight line (0, 0, 0) to (2, 1, 3)
3.10 A vector field is represented by F = p°a, + zas + cos pa, Newtons. Evaluate
the work done or JF dl, where L is from P(2,0°, 0) to Q(2, 7/4, 3). Assume
that L consists of the arc p = 2, 0 < ¢< T/4, z = 0, followed by the line
2, d
p =
T/4, 0 < z < 3.
3.11 If
H = (x – y)a, + (x² + zy)a, + 5yza,
Transcribed Image Text:(b) The straight line (0, 0, 0) to (2, 1, 3) 3.10 A vector field is represented by F = p°a, + zas + cos pa, Newtons. Evaluate the work done or JF dl, where L is from P(2,0°, 0) to Q(2, 7/4, 3). Assume that L consists of the arc p = 2, 0 < ¢< T/4, z = 0, followed by the line 2, d p = T/4, 0 < z < 3. 3.11 If H = (x – y)a, + (x² + zy)a, + 5yza,
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