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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72 Problem 73 Problem 74 Problem 75 Problem 76 Problem 77 Problem 78 Problem 79 Problem 80 Problem 81 Problem 82 Problem 83 Problem 84 Problem 85 Problem 86 Problem 87 Problem 88 Problem 89 Problem 90 Problem 91 Problem 92 Problem 93 Problem 94 Problem 95 Problem 96 Problem 97 Problem 98 Problem 99 Problem 100 Problem 101 Problem 102 Problem 103 Problem 104

Problem 39 Easy Difficulty

Set up the iterated integral for evaluating $\iiint_{D} f(r, \theta, z) r d z d r d \theta$ over the given region $D$.
$D$ is the solid right cylinder whose base is the region in the $x y$ -plane that lies inside the cardioid $r=1+\cos \theta$ and outside the circle $r=1$ and whose top lies in the plane $z=4$
(FIGURE CANNOT COPY)

Answer

$\int_{-\pi / 2}^{\pi / 2} \int_{1}^{1+\cos \theta} \int_{0}^{4} f(r, \theta, z) r d z d r d \theta$

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University Calculus: Early Transcendentals

Chapter 14

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Watch More Solved Questions in Chapter 14

Problem 1
Problem 2
Problem 3
Problem 4
Problem 5
Problem 6
Problem 7
Problem 8
Problem 9
Problem 10
Problem 11
Problem 12
Problem 13
Problem 14
Problem 15
Problem 16
Problem 17
Problem 18
Problem 19
Problem 20
Problem 21
Problem 22
Problem 23
Problem 24
Problem 25
Problem 26
Problem 27
Problem 28
Problem 29
Problem 30
Problem 31
Problem 32
Problem 33
Problem 34
Problem 35
Problem 36
Problem 37
Problem 38
Problem 39
Problem 40
Problem 41
Problem 42
Problem 43
Problem 44
Problem 45
Problem 46
Problem 47
Problem 48
Problem 49
Problem 50
Problem 51
Problem 52
Problem 53
Problem 54
Problem 55
Problem 56
Problem 57
Problem 58
Problem 59
Problem 60
Problem 61
Problem 62
Problem 63
Problem 64
Problem 65
Problem 66
Problem 67
Problem 68
Problem 69
Problem 70
Problem 71
Problem 72
Problem 73
Problem 74
Problem 75
Problem 76
Problem 77
Problem 78
Problem 79
Problem 80
Problem 81
Problem 82
Problem 83
Problem 84
Problem 85
Problem 86
Problem 87
Problem 88
Problem 89
Problem 90
Problem 91
Problem 92
Problem 93
Problem 94
Problem 95
Problem 96
Problem 97
Problem 98
Problem 99
Problem 100
Problem 101
Problem 102
Problem 103
Problem 104

Video Transcript

all right to let too friendly the interval over the region de off. If our there are c cylindrical, really little audience are easy. Uh, are Misha we're this region de is even by so no, he's, uh, some very nice region that are knicks. Why the axis here? X y z on about. So these lies inside of the well in the X Y plane, it's inside of the cardio R is equal toe one. Well, bless school Sino. Sarah Barghouti's car dude is even by our She wouldn't weren't waas course. Sarah, uh, inside all that of the ceiling there, over these are equals one. So this is the scene in there. All right, this is one. So their vision is gonna be like the shape. Well, that shape you can see I'm dizzy with these year on four. So you have sort of like some shape these We're being bombarded like a cardio. Sort of like these morning woods. Uh, card on, uh, extended from See all zero. Because this year upto tour, they're gonna have something like some shape. Uh, so that should be a region. Said Thies feel shape. Um, so, uh, what? We were gonna set up this into go see goes from zero before See from zero before our goose is between one. Is there lower bone articles? One has to be bi. You don't want that. He has to be smarter than more on blast course, Sarah. And then our angle, Feder Onley goes between, uh, these angle I'm done. I go for these angle over here, but he's a minus bi house on the single there. Where? The spy house. So that that I would be eating those to my house room. Right, pops. Uh, so that had to sit out. That in general would have if our there are z are see between sear on four Are are between 11 Bless goes, um uh, fatal You doing minus by house and ons by house to be so that would be the into role to Everwood.

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University Calculus: Early Transcendentals

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