Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)
6th Edition
ISBN: 9781524908102
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 13.6, Problem 52PS
To determine
To find: The value of integral
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The vector function
r(t)
(5 – 2 sin t) i + (3+ 2 cos t) j + 2 k
-
traces out a circle in 3-space as t varies. In
which plane does this circle lie?
1. plane x
2. plane y
2
3. plane z
= -2
4. plane z
= 2
5. plane x = -2
6. plane y = -2
Let F = .
LF
C
Use Stokes' Theorem to evaluate
dr, where
C is the triangle with vertices (7,0,0), (0,7,0), and (0,0,7), oriented counterclockwise as viewed from
above.
Let F = .
Use Stokes' Theorem to evaluate
curlF · dS , where
S consists of the top and the four sides (but not the bottom) of the cube with one corner at (-3,-3,-3)
and the diagonal corner at (1,1,1).
Hint: Use the fact that if S1 and S2 share the same boundary curve C that
curlF · dS
F· dī =
curlF · d§
Chapter 13 Solutions
Calculus: Special Edition: Chapters 1-5 (w/ WebAssign)
Ch. 13.1 - Prob. 1PSCh. 13.1 - Prob. 2PSCh. 13.1 - Prob. 3PSCh. 13.1 - Prob. 4PSCh. 13.1 - Prob. 5PSCh. 13.1 - Prob. 6PSCh. 13.1 - Prob. 7PSCh. 13.1 - Prob. 8PSCh. 13.1 - Prob. 9PSCh. 13.1 - Prob. 10PS
Ch. 13.1 - Prob. 11PSCh. 13.1 - Prob. 12PSCh. 13.1 - Prob. 13PSCh. 13.1 - Prob. 14PSCh. 13.1 - Prob. 15PSCh. 13.1 - Prob. 16PSCh. 13.1 - Prob. 17PSCh. 13.1 - Prob. 18PSCh. 13.1 - Prob. 19PSCh. 13.1 - Prob. 20PSCh. 13.1 - Prob. 21PSCh. 13.1 - Prob. 22PSCh. 13.1 - Prob. 23PSCh. 13.1 - Prob. 24PSCh. 13.1 - Prob. 25PSCh. 13.1 - Prob. 26PSCh. 13.1 - Prob. 27PSCh. 13.1 - Prob. 28PSCh. 13.1 - Prob. 29PSCh. 13.1 - Prob. 30PSCh. 13.1 - Prob. 31PSCh. 13.1 - Prob. 32PSCh. 13.1 - Prob. 33PSCh. 13.1 - Prob. 34PSCh. 13.1 - Prob. 35PSCh. 13.1 - Prob. 36PSCh. 13.1 - Prob. 37PSCh. 13.1 - Prob. 38PSCh. 13.1 - Prob. 39PSCh. 13.1 - Prob. 40PSCh. 13.1 - Prob. 41PSCh. 13.1 - Prob. 42PSCh. 13.1 - Prob. 43PSCh. 13.1 - Prob. 44PSCh. 13.1 - Prob. 45PSCh. 13.1 - Prob. 46PSCh. 13.1 - Prob. 47PSCh. 13.1 - Prob. 48PSCh. 13.1 - Prob. 49PSCh. 13.1 - Prob. 50PSCh. 13.1 - Prob. 51PSCh. 13.1 - Prob. 52PSCh. 13.1 - Prob. 53PSCh. 13.1 - Prob. 54PSCh. 13.1 - Prob. 55PSCh. 13.1 - Prob. 56PSCh. 13.1 - Prob. 57PSCh. 13.1 - Prob. 58PSCh. 13.1 - Prob. 59PSCh. 13.1 - Prob. 60PSCh. 13.2 - Prob. 1PSCh. 13.2 - Prob. 2PSCh. 13.2 - Prob. 3PSCh. 13.2 - Prob. 4PSCh. 13.2 - Prob. 5PSCh. 13.2 - Prob. 6PSCh. 13.2 - Prob. 7PSCh. 13.2 - Prob. 8PSCh. 13.2 - Prob. 9PSCh. 13.2 - Prob. 10PSCh. 13.2 - Prob. 11PSCh. 13.2 - Prob. 12PSCh. 13.2 - Prob. 13PSCh. 13.2 - Prob. 14PSCh. 13.2 - Prob. 15PSCh. 13.2 - Prob. 16PSCh. 13.2 - Prob. 17PSCh. 13.2 - Prob. 18PSCh. 13.2 - Prob. 19PSCh. 13.2 - Prob. 20PSCh. 13.2 - Prob. 21PSCh. 13.2 - Prob. 22PSCh. 13.2 - Prob. 23PSCh. 13.2 - Prob. 24PSCh. 13.2 - Prob. 25PSCh. 13.2 - Prob. 26PSCh. 13.2 - Prob. 27PSCh. 13.2 - Prob. 28PSCh. 13.2 - Prob. 29PSCh. 13.2 - Prob. 30PSCh. 13.2 - Prob. 31PSCh. 13.2 - Prob. 32PSCh. 13.2 - Prob. 33PSCh. 13.2 - Prob. 34PSCh. 13.2 - Prob. 35PSCh. 13.2 - Prob. 36PSCh. 13.2 - Prob. 37PSCh. 13.2 - Prob. 38PSCh. 13.2 - Prob. 39PSCh. 13.2 - Prob. 40PSCh. 13.2 - Prob. 41PSCh. 13.2 - Prob. 42PSCh. 13.2 - Prob. 43PSCh. 13.2 - Prob. 44PSCh. 13.2 - Prob. 45PSCh. 13.2 - Prob. 46PSCh. 13.2 - Prob. 47PSCh. 13.2 - Prob. 48PSCh. 13.2 - Prob. 49PSCh. 13.2 - Prob. 50PSCh. 13.2 - Prob. 51PSCh. 13.2 - Prob. 52PSCh. 13.2 - Prob. 53PSCh. 13.2 - Prob. 54PSCh. 13.2 - Prob. 55PSCh. 13.2 - Prob. 56PSCh. 13.2 - Prob. 57PSCh. 13.2 - Prob. 58PSCh. 13.2 - Prob. 59PSCh. 13.2 - Prob. 60PSCh. 13.3 - Prob. 1PSCh. 13.3 - Prob. 2PSCh. 13.3 - Prob. 3PSCh. 13.3 - Prob. 4PSCh. 13.3 - Prob. 5PSCh. 13.3 - Prob. 6PSCh. 13.3 - Prob. 7PSCh. 13.3 - Prob. 8PSCh. 13.3 - Prob. 9PSCh. 13.3 - Prob. 10PSCh. 13.3 - Prob. 11PSCh. 13.3 - Prob. 12PSCh. 13.3 - Prob. 13PSCh. 13.3 - Prob. 14PSCh. 13.3 - Prob. 15PSCh. 13.3 - Prob. 16PSCh. 13.3 - Prob. 17PSCh. 13.3 - Prob. 18PSCh. 13.3 - Prob. 19PSCh. 13.3 - Prob. 20PSCh. 13.3 - Prob. 21PSCh. 13.3 - Prob. 22PSCh. 13.3 - Prob. 23PSCh. 13.3 - Prob. 24PSCh. 13.3 - Prob. 25PSCh. 13.3 - Prob. 26PSCh. 13.3 - Prob. 27PSCh. 13.3 - Prob. 28PSCh. 13.3 - Prob. 29PSCh. 13.3 - Prob. 30PSCh. 13.3 - Prob. 31PSCh. 13.3 - Prob. 32PSCh. 13.3 - Prob. 33PSCh. 13.3 - Prob. 34PSCh. 13.3 - Prob. 35PSCh. 13.3 - Prob. 36PSCh. 13.3 - Prob. 37PSCh. 13.3 - Prob. 38PSCh. 13.3 - Prob. 39PSCh. 13.3 - Prob. 40PSCh. 13.3 - Prob. 41PSCh. 13.3 - Prob. 42PSCh. 13.3 - Prob. 43PSCh. 13.3 - Prob. 44PSCh. 13.3 - Prob. 45PSCh. 13.3 - Prob. 46PSCh. 13.3 - Prob. 47PSCh. 13.3 - Prob. 48PSCh. 13.3 - Prob. 49PSCh. 13.3 - Prob. 50PSCh. 13.3 - Prob. 51PSCh. 13.3 - Prob. 52PSCh. 13.3 - Prob. 53PSCh. 13.3 - Prob. 54PSCh. 13.3 - Prob. 55PSCh. 13.3 - Prob. 56PSCh. 13.3 - Prob. 57PSCh. 13.3 - Prob. 58PSCh. 13.3 - Prob. 59PSCh. 13.3 - Prob. 60PSCh. 13.4 - Prob. 1PSCh. 13.4 - Prob. 2PSCh. 13.4 - Prob. 3PSCh. 13.4 - Prob. 4PSCh. 13.4 - Prob. 5PSCh. 13.4 - Prob. 6PSCh. 13.4 - Prob. 7PSCh. 13.4 - Prob. 8PSCh. 13.4 - Prob. 9PSCh. 13.4 - Prob. 10PSCh. 13.4 - Prob. 11PSCh. 13.4 - Prob. 12PSCh. 13.4 - Prob. 13PSCh. 13.4 - Prob. 14PSCh. 13.4 - Prob. 15PSCh. 13.4 - Prob. 16PSCh. 13.4 - Prob. 17PSCh. 13.4 - Prob. 18PSCh. 13.4 - Prob. 19PSCh. 13.4 - Prob. 20PSCh. 13.4 - Prob. 21PSCh. 13.4 - Prob. 22PSCh. 13.4 - Prob. 23PSCh. 13.4 - Prob. 24PSCh. 13.4 - Prob. 25PSCh. 13.4 - 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Prob. 15PSCh. 13.5 - Prob. 16PSCh. 13.5 - Prob. 17PSCh. 13.5 - Prob. 18PSCh. 13.5 - Prob. 19PSCh. 13.5 - Prob. 20PSCh. 13.5 - Prob. 21PSCh. 13.5 - Prob. 22PSCh. 13.5 - Prob. 23PSCh. 13.5 - Prob. 24PSCh. 13.5 - Prob. 25PSCh. 13.5 - Prob. 26PSCh. 13.5 - Prob. 27PSCh. 13.5 - Prob. 28PSCh. 13.5 - Prob. 29PSCh. 13.5 - Prob. 30PSCh. 13.5 - Prob. 31PSCh. 13.5 - Prob. 32PSCh. 13.5 - Prob. 33PSCh. 13.5 - Prob. 34PSCh. 13.5 - Prob. 35PSCh. 13.5 - Prob. 36PSCh. 13.5 - Prob. 37PSCh. 13.5 - Prob. 38PSCh. 13.5 - Prob. 39PSCh. 13.5 - Prob. 40PSCh. 13.5 - Prob. 41PSCh. 13.5 - Prob. 42PSCh. 13.5 - Prob. 43PSCh. 13.5 - Prob. 44PSCh. 13.5 - Prob. 45PSCh. 13.5 - Prob. 46PSCh. 13.5 - Prob. 47PSCh. 13.5 - Prob. 48PSCh. 13.5 - Prob. 49PSCh. 13.5 - Prob. 50PSCh. 13.5 - Prob. 51PSCh. 13.5 - Prob. 52PSCh. 13.5 - Prob. 53PSCh. 13.5 - Prob. 54PSCh. 13.5 - Prob. 55PSCh. 13.5 - Prob. 56PSCh. 13.5 - Prob. 57PSCh. 13.5 - Prob. 58PSCh. 13.5 - Prob. 59PSCh. 13.5 - Prob. 60PSCh. 13.6 - Prob. 1PSCh. 13.6 - Prob. 2PSCh. 13.6 - Prob. 3PSCh. 13.6 - Prob. 4PSCh. 13.6 - Prob. 5PSCh. 13.6 - Prob. 6PSCh. 13.6 - Prob. 7PSCh. 13.6 - Prob. 8PSCh. 13.6 - Prob. 9PSCh. 13.6 - Prob. 10PSCh. 13.6 - Prob. 11PSCh. 13.6 - Prob. 12PSCh. 13.6 - Prob. 13PSCh. 13.6 - Prob. 14PSCh. 13.6 - Prob. 15PSCh. 13.6 - Prob. 16PSCh. 13.6 - Prob. 17PSCh. 13.6 - Prob. 18PSCh. 13.6 - Prob. 19PSCh. 13.6 - Prob. 20PSCh. 13.6 - Prob. 21PSCh. 13.6 - Prob. 22PSCh. 13.6 - Prob. 23PSCh. 13.6 - Prob. 24PSCh. 13.6 - Prob. 25PSCh. 13.6 - Prob. 26PSCh. 13.6 - Prob. 27PSCh. 13.6 - Prob. 28PSCh. 13.6 - Prob. 29PSCh. 13.6 - Prob. 30PSCh. 13.6 - Prob. 31PSCh. 13.6 - Prob. 32PSCh. 13.6 - Prob. 33PSCh. 13.6 - Prob. 34PSCh. 13.6 - Prob. 35PSCh. 13.6 - Prob. 36PSCh. 13.6 - Prob. 37PSCh. 13.6 - Prob. 38PSCh. 13.6 - Prob. 39PSCh. 13.6 - Prob. 40PSCh. 13.6 - Prob. 41PSCh. 13.6 - Prob. 42PSCh. 13.6 - Prob. 43PSCh. 13.6 - Prob. 44PSCh. 13.6 - Prob. 45PSCh. 13.6 - Prob. 46PSCh. 13.6 - Prob. 47PSCh. 13.6 - Prob. 48PSCh. 13.6 - Prob. 49PSCh. 13.6 - Prob. 50PSCh. 13.6 - Prob. 51PSCh. 13.6 - Prob. 52PSCh. 13.6 - Prob. 53PSCh. 13.6 - Prob. 54PSCh. 13.6 - Prob. 55PSCh. 13.6 - Prob. 56PSCh. 13.6 - Prob. 57PSCh. 13.6 - Prob. 58PSCh. 13.6 - Prob. 59PSCh. 13.6 - Prob. 60PSCh. 13.7 - Prob. 1PSCh. 13.7 - Prob. 2PSCh. 13.7 - Prob. 3PSCh. 13.7 - Prob. 4PSCh. 13.7 - Prob. 5PSCh. 13.7 - Prob. 6PSCh. 13.7 - Prob. 7PSCh. 13.7 - Prob. 8PSCh. 13.7 - Prob. 9PSCh. 13.7 - Prob. 10PSCh. 13.7 - Prob. 11PSCh. 13.7 - Prob. 12PSCh. 13.7 - Prob. 13PSCh. 13.7 - Prob. 14PSCh. 13.7 - Prob. 15PSCh. 13.7 - Prob. 16PSCh. 13.7 - Prob. 17PSCh. 13.7 - Prob. 18PSCh. 13.7 - Prob. 19PSCh. 13.7 - Prob. 20PSCh. 13.7 - Prob. 21PSCh. 13.7 - Prob. 22PSCh. 13.7 - Prob. 23PSCh. 13.7 - Prob. 24PSCh. 13.7 - Prob. 25PSCh. 13.7 - Prob. 26PSCh. 13.7 - Prob. 27PSCh. 13.7 - Prob. 28PSCh. 13.7 - Prob. 29PSCh. 13.7 - Prob. 30PSCh. 13.7 - Prob. 31PSCh. 13.7 - Prob. 32PSCh. 13.7 - Prob. 33PSCh. 13.7 - Prob. 34PSCh. 13.7 - Prob. 35PSCh. 13.7 - Prob. 36PSCh. 13.7 - Prob. 37PSCh. 13.7 - Prob. 38PSCh. 13.7 - Prob. 39PSCh. 13.7 - Prob. 40PSCh. 13.7 - Prob. 41PSCh. 13.7 - Prob. 42PSCh. 13.7 - Prob. 43PSCh. 13.7 - Prob. 44PSCh. 13.7 - Prob. 45PSCh. 13.7 - Prob. 46PSCh. 13.7 - Prob. 47PSCh. 13.7 - Prob. 48PSCh. 13.7 - Prob. 49PSCh. 13.7 - Prob. 50PSCh. 13.7 - Prob. 51PSCh. 13.7 - Prob. 52PSCh. 13.7 - Prob. 53PSCh. 13.7 - Prob. 54PSCh. 13.7 - Prob. 55PSCh. 13.7 - Prob. 56PSCh. 13.7 - Prob. 57PSCh. 13.7 - Prob. 58PSCh. 13.7 - Prob. 59PSCh. 13.7 - Prob. 60PSCh. 13 - Prob. 1PECh. 13 - Prob. 2PECh. 13 - Prob. 3PECh. 13 - Prob. 4PECh. 13 - Prob. 5PECh. 13 - Prob. 6PECh. 13 - Prob. 7PECh. 13 - Prob. 8PECh. 13 - Prob. 9PECh. 13 - Prob. 10PECh. 13 - Prob. 11PECh. 13 - Prob. 12PECh. 13 - Prob. 13PECh. 13 - Prob. 14PECh. 13 - Prob. 15PECh. 13 - Prob. 16PECh. 13 - Prob. 17PECh. 13 - Prob. 18PECh. 13 - Prob. 19PECh. 13 - Prob. 20PECh. 13 - Prob. 21PECh. 13 - Prob. 22PECh. 13 - Prob. 23PECh. 13 - Prob. 24PECh. 13 - Prob. 25PECh. 13 - Prob. 26PECh. 13 - Prob. 27PECh. 13 - Prob. 28PECh. 13 - Prob. 29PECh. 13 - Prob. 30PECh. 13 - Prob. 1SPCh. 13 - Prob. 2SPCh. 13 - Prob. 3SPCh. 13 - Prob. 4SPCh. 13 - Prob. 5SPCh. 13 - Prob. 6SPCh. 13 - Prob. 7SPCh. 13 - Prob. 8SPCh. 13 - Prob. 9SPCh. 13 - Prob. 10SPCh. 13 - Prob. 11SPCh. 13 - Prob. 12SPCh. 13 - Prob. 13SPCh. 13 - Prob. 14SPCh. 13 - Prob. 15SPCh. 13 - Prob. 16SPCh. 13 - Prob. 17SPCh. 13 - Prob. 18SPCh. 13 - Prob. 19SPCh. 13 - Prob. 20SPCh. 13 - Prob. 21SPCh. 13 - Prob. 22SPCh. 13 - Prob. 23SPCh. 13 - Prob. 24SPCh. 13 - Prob. 25SPCh. 13 - Prob. 26SPCh. 13 - Prob. 27SPCh. 13 - Prob. 28SPCh. 13 - Prob. 29SPCh. 13 - Prob. 30SPCh. 13 - Prob. 31SPCh. 13 - Prob. 32SPCh. 13 - Prob. 33SPCh. 13 - Prob. 34SPCh. 13 - Prob. 35SPCh. 13 - Prob. 36SPCh. 13 - Prob. 37SPCh. 13 - Prob. 38SPCh. 13 - Prob. 39SPCh. 13 - Prob. 40SPCh. 13 - Prob. 41SPCh. 13 - Prob. 42SPCh. 13 - Prob. 43SPCh. 13 - Prob. 44SPCh. 13 - Prob. 45SPCh. 13 - Prob. 46SPCh. 13 - Prob. 47SPCh. 13 - Prob. 48SPCh. 13 - Prob. 49SPCh. 13 - Prob. 50SPCh. 13 - Prob. 51SPCh. 13 - Prob. 52SPCh. 13 - Prob. 53SPCh. 13 - Prob. 54SPCh. 13 - 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Prob. 60CRP
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