Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 6, Problem 22SP
To determine
To find: The volume of a solid of revolution
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Students have asked these similar questions
2. Consider the solid generated when the shaded region shown below is revolved around the x-axis.
(This region is part of the region in problem #1.)
The curve is y = x³ – 5x² + 3x +9 and the line is y = x + 1.
|
a.
Draw a picture of the solid and a representative slice.
b.
Find the volume of your slice.
C.
Write the integral(s) you would use to find the volume of the solid. Do not
evaluate your integral(s).
yEx25x+3x+9
2.
-10
3.Calculate the volume of the rotating object that occurs if the area in the first quadrant is bounded by the curve x = y2 + 1, the X axis, the line y = 1, and is rotated around the Y axis
1. Find the area of the region bounded from the right by the curve
x = 4 – y? , from the left by the line y + x = -2 and below
by the x-axis.
Chapter 6 Solutions
Calculus
Ch. 6.1 - Prob. 1PSCh. 6.1 - Prob. 2PSCh. 6.1 - Prob. 3PSCh. 6.1 - Prob. 4PSCh. 6.1 - Prob. 5PSCh. 6.1 - Prob. 6PSCh. 6.1 - Prob. 7PSCh. 6.1 - Prob. 8PSCh. 6.1 - Prob. 9PSCh. 6.1 - Prob. 10PS
Ch. 6.1 - Prob. 11PSCh. 6.1 - Prob. 12PSCh. 6.1 - Prob. 13PSCh. 6.1 - Prob. 14PSCh. 6.1 - Prob. 15PSCh. 6.1 - Prob. 16PSCh. 6.1 - Prob. 17PSCh. 6.1 - Prob. 18PSCh. 6.1 - Prob. 19PSCh. 6.1 - Prob. 20PSCh. 6.1 - Prob. 21PSCh. 6.1 - Prob. 22PSCh. 6.1 - Prob. 23PSCh. 6.1 - Prob. 24PSCh. 6.1 - Prob. 25PSCh. 6.1 - Prob. 26PSCh. 6.1 - Prob. 27PSCh. 6.1 - Prob. 28PSCh. 6.1 - Prob. 29PSCh. 6.1 - Prob. 30PSCh. 6.1 - Prob. 31PSCh. 6.1 - Prob. 32PSCh. 6.1 - Prob. 33PSCh. 6.1 - Prob. 34PSCh. 6.1 - Prob. 35PSCh. 6.1 - Prob. 36PSCh. 6.1 - Prob. 37PSCh. 6.1 - Prob. 38PSCh. 6.1 - Prob. 39PSCh. 6.1 - Prob. 40PSCh. 6.1 - Prob. 41PSCh. 6.1 - Prob. 42PSCh. 6.1 - Prob. 43PSCh. 6.1 - Prob. 44PSCh. 6.1 - Prob. 45PSCh. 6.1 - Prob. 46PSCh. 6.1 - Prob. 47PSCh. 6.1 - Prob. 48PSCh. 6.1 - Prob. 49PSCh. 6.1 - Prob. 50PSCh. 6.1 - Prob. 51PSCh. 6.1 - Prob. 52PSCh. 6.1 - Prob. 53PSCh. 6.1 - Prob. 54PSCh. 6.1 - Prob. 55PSCh. 6.1 - Prob. 56PSCh. 6.1 - Prob. 57PSCh. 6.1 - Prob. 58PSCh. 6.1 - Prob. 59PSCh. 6.1 - Prob. 60PSCh. 6.2 - Prob. 1PSCh. 6.2 - Prob. 2PSCh. 6.2 - Prob. 3PSCh. 6.2 - Prob. 4PSCh. 6.2 - Prob. 5PSCh. 6.2 - Prob. 6PSCh. 6.2 - Prob. 7PSCh. 6.2 - Prob. 8PSCh. 6.2 - Prob. 9PSCh. 6.2 - Prob. 10PSCh. 6.2 - Prob. 11PSCh. 6.2 - Prob. 12PSCh. 6.2 - Prob. 13PSCh. 6.2 - Prob. 14PSCh. 6.2 - Prob. 15PSCh. 6.2 - Prob. 16PSCh. 6.2 - Prob. 17PSCh. 6.2 - Prob. 18PSCh. 6.2 - Prob. 19PSCh. 6.2 - Prob. 20PSCh. 6.2 - Prob. 21PSCh. 6.2 - Prob. 22PSCh. 6.2 - Prob. 23PSCh. 6.2 - Prob. 24PSCh. 6.2 - Prob. 25PSCh. 6.2 - Prob. 26PSCh. 6.2 - Prob. 27PSCh. 6.2 - Prob. 28PSCh. 6.2 - Prob. 29PSCh. 6.2 - Prob. 30PSCh. 6.2 - Prob. 31PSCh. 6.2 - Prob. 32PSCh. 6.2 - Prob. 33PSCh. 6.2 - Prob. 34PSCh. 6.2 - Prob. 35PSCh. 6.2 - Prob. 36PSCh. 6.2 - Prob. 37PSCh. 6.2 - Prob. 38PSCh. 6.2 - Prob. 39PSCh. 6.2 - Prob. 40PSCh. 6.2 - Prob. 41PSCh. 6.2 - Prob. 42PSCh. 6.2 - Prob. 43PSCh. 6.2 - Prob. 44PSCh. 6.2 - Prob. 45PSCh. 6.2 - Prob. 46PSCh. 6.2 - Prob. 47PSCh. 6.2 - Prob. 48PSCh. 6.2 - Prob. 49PSCh. 6.2 - Prob. 50PSCh. 6.2 - Prob. 51PSCh. 6.2 - Prob. 52PSCh. 6.2 - Prob. 53PSCh. 6.2 - Prob. 54PSCh. 6.2 - Prob. 55PSCh. 6.2 - Prob. 56PSCh. 6.2 - Prob. 57PSCh. 6.2 - Prob. 58PSCh. 6.2 - Prob. 59PSCh. 6.2 - Prob. 60PSCh. 6.3 - Prob. 1PSCh. 6.3 - Prob. 2PSCh. 6.3 - Prob. 3PSCh. 6.3 - Prob. 4PSCh. 6.3 - Prob. 5PSCh. 6.3 - Prob. 6PSCh. 6.3 - Prob. 7PSCh. 6.3 - Prob. 8PSCh. 6.3 - Prob. 9PSCh. 6.3 - Prob. 10PSCh. 6.3 - Prob. 11PSCh. 6.3 - Prob. 12PSCh. 6.3 - Prob. 13PSCh. 6.3 - Prob. 14PSCh. 6.3 - Prob. 15PSCh. 6.3 - Prob. 16PSCh. 6.3 - Prob. 17PSCh. 6.3 - Prob. 18PSCh. 6.3 - Prob. 19PSCh. 6.3 - Prob. 20PSCh. 6.3 - Prob. 21PSCh. 6.3 - Prob. 22PSCh. 6.3 - Prob. 23PSCh. 6.3 - Prob. 24PSCh. 6.3 - Prob. 25PSCh. 6.3 - Prob. 26PSCh. 6.3 - Prob. 27PSCh. 6.3 - Prob. 28PSCh. 6.3 - Prob. 29PSCh. 6.3 - Prob. 30PSCh. 6.3 - Prob. 31PSCh. 6.3 - Prob. 32PSCh. 6.3 - Prob. 33PSCh. 6.3 - Prob. 34PSCh. 6.3 - Prob. 35PSCh. 6.3 - Prob. 36PSCh. 6.3 - Prob. 37PSCh. 6.3 - Prob. 38PSCh. 6.3 - Prob. 39PSCh. 6.3 - Prob. 40PSCh. 6.3 - Prob. 41PSCh. 6.3 - Prob. 42PSCh. 6.3 - Prob. 43PSCh. 6.3 - Prob. 44PSCh. 6.3 - Prob. 45PSCh. 6.3 - Prob. 46PSCh. 6.3 - Prob. 47PSCh. 6.3 - Prob. 48PSCh. 6.3 - Prob. 49PSCh. 6.3 - Prob. 50PSCh. 6.3 - Prob. 51PSCh. 6.3 - Prob. 52PSCh. 6.3 - Prob. 53PSCh. 6.3 - Prob. 54PSCh. 6.3 - Prob. 55PSCh. 6.3 - Prob. 56PSCh. 6.3 - Prob. 57PSCh. 6.3 - Prob. 58PSCh. 6.3 - Prob. 59PSCh. 6.3 - Prob. 60PSCh. 6.4 - Prob. 1PSCh. 6.4 - Prob. 2PSCh. 6.4 - Prob. 3PSCh. 6.4 - Prob. 4PSCh. 6.4 - Prob. 5PSCh. 6.4 - Prob. 6PSCh. 6.4 - Prob. 7PSCh. 6.4 - Prob. 8PSCh. 6.4 - Prob. 9PSCh. 6.4 - Prob. 10PSCh. 6.4 - Prob. 11PSCh. 6.4 - Prob. 12PSCh. 6.4 - Prob. 13PSCh. 6.4 - Prob. 14PSCh. 6.4 - Prob. 15PSCh. 6.4 - Prob. 16PSCh. 6.4 - Prob. 17PSCh. 6.4 - Prob. 18PSCh. 6.4 - Prob. 19PSCh. 6.4 - Prob. 20PSCh. 6.4 - Prob. 21PSCh. 6.4 - Prob. 22PSCh. 6.4 - Prob. 23PSCh. 6.4 - Prob. 24PSCh. 6.4 - Prob. 25PSCh. 6.4 - Prob. 26PSCh. 6.4 - Prob. 27PSCh. 6.4 - Prob. 28PSCh. 6.4 - Prob. 29PSCh. 6.4 - Prob. 30PSCh. 6.4 - Prob. 31PSCh. 6.4 - Prob. 32PSCh. 6.4 - Prob. 33PSCh. 6.4 - Prob. 34PSCh. 6.4 - Prob. 35PSCh. 6.4 - Prob. 36PSCh. 6.4 - Prob. 37PSCh. 6.4 - Prob. 38PSCh. 6.4 - Prob. 39PSCh. 6.4 - Prob. 40PSCh. 6.4 - Prob. 41PSCh. 6.4 - Prob. 42PSCh. 6.4 - Prob. 43PSCh. 6.4 - Prob. 44PSCh. 6.4 - Prob. 45PSCh. 6.4 - Prob. 46PSCh. 6.4 - Prob. 47PSCh. 6.4 - Prob. 48PSCh. 6.4 - Prob. 49PSCh. 6.4 - Prob. 50PSCh. 6.4 - Prob. 51PSCh. 6.4 - Prob. 52PSCh. 6.4 - Prob. 53PSCh. 6.4 - Prob. 54PSCh. 6.4 - Prob. 55PSCh. 6.4 - Prob. 56PSCh. 6.4 - Prob. 57PSCh. 6.4 - Prob. 58PSCh. 6.4 - Prob. 59PSCh. 6.4 - Prob. 60PSCh. 6.5 - Prob. 1PSCh. 6.5 - Prob. 2PSCh. 6.5 - Prob. 3PSCh. 6.5 - Prob. 4PSCh. 6.5 - Prob. 5PSCh. 6.5 - Prob. 6PSCh. 6.5 - Prob. 7PSCh. 6.5 - Prob. 8PSCh. 6.5 - Prob. 9PSCh. 6.5 - Prob. 10PSCh. 6.5 - Prob. 11PSCh. 6.5 - Prob. 12PSCh. 6.5 - Prob. 13PSCh. 6.5 - Prob. 14PSCh. 6.5 - Prob. 15PSCh. 6.5 - Prob. 16PSCh. 6.5 - Prob. 17PSCh. 6.5 - Prob. 18PSCh. 6.5 - Prob. 19PSCh. 6.5 - Prob. 20PSCh. 6.5 - Prob. 21PSCh. 6.5 - Prob. 22PSCh. 6.5 - Prob. 23PSCh. 6.5 - Prob. 24PSCh. 6.5 - Prob. 25PSCh. 6.5 - Prob. 26PSCh. 6.5 - Prob. 27PSCh. 6.5 - Prob. 28PSCh. 6.5 - Prob. 29PSCh. 6.5 - Prob. 30PSCh. 6.5 - Prob. 31PSCh. 6.5 - Prob. 32PSCh. 6.5 - Prob. 33PSCh. 6.5 - Prob. 34PSCh. 6.5 - Prob. 35PSCh. 6.5 - Prob. 36PSCh. 6.5 - Prob. 37PSCh. 6.5 - Prob. 38PSCh. 6.5 - Prob. 39PSCh. 6.5 - Prob. 40PSCh. 6.5 - Prob. 41PSCh. 6.5 - Prob. 42PSCh. 6.5 - Prob. 43PSCh. 6.5 - Prob. 44PSCh. 6.5 - Prob. 45PSCh. 6.5 - Prob. 46PSCh. 6.5 - Prob. 47PSCh. 6.5 - Prob. 48PSCh. 6.5 - Prob. 49PSCh. 6.5 - Prob. 50PSCh. 6.5 - Prob. 51PSCh. 6.5 - Prob. 52PSCh. 6.5 - Prob. 53PSCh. 6.5 - Prob. 54PSCh. 6.5 - Prob. 55PSCh. 6.5 - Prob. 56PSCh. 6.5 - Prob. 57PSCh. 6.5 - Prob. 58PSCh. 6.5 - Prob. 59PSCh. 6.5 - Prob. 60PSCh. 6.6 - Prob. 1PSCh. 6.6 - Prob. 2PSCh. 6.6 - Prob. 3PSCh. 6.6 - Prob. 4PSCh. 6.6 - Prob. 5PSCh. 6.6 - Prob. 6PSCh. 6.6 - Prob. 7PSCh. 6.6 - Prob. 8PSCh. 6.6 - Prob. 9PSCh. 6.6 - Prob. 10PSCh. 6.6 - Prob. 11PSCh. 6.6 - Prob. 12PSCh. 6.6 - Prob. 13PSCh. 6.6 - Prob. 14PSCh. 6.6 - Prob. 15PSCh. 6.6 - Prob. 16PSCh. 6.6 - Prob. 17PSCh. 6.6 - Prob. 18PSCh. 6.6 - Prob. 19PSCh. 6.6 - Prob. 20PSCh. 6.6 - Prob. 21PSCh. 6.6 - Prob. 22PSCh. 6.6 - Prob. 23PSCh. 6.6 - Prob. 24PSCh. 6.6 - Prob. 25PSCh. 6.6 - Prob. 26PSCh. 6.6 - Prob. 27PSCh. 6.6 - Prob. 28PSCh. 6.6 - Prob. 29PSCh. 6.6 - Prob. 30PSCh. 6.6 - Prob. 31PSCh. 6.6 - Prob. 32PSCh. 6.6 - Prob. 33PSCh. 6.6 - Prob. 34PSCh. 6.6 - Prob. 35PSCh. 6.6 - Prob. 36PSCh. 6.6 - Prob. 37PSCh. 6.6 - Prob. 38PSCh. 6.6 - Prob. 39PSCh. 6.6 - Prob. 40PSCh. 6.6 - Prob. 41PSCh. 6.6 - Prob. 42PSCh. 6.6 - Prob. 43PSCh. 6.6 - Prob. 44PSCh. 6.6 - Prob. 45PSCh. 6.6 - Prob. 46PSCh. 6.6 - Prob. 47PSCh. 6.6 - Prob. 48PSCh. 6.6 - Prob. 49PSCh. 6.6 - Prob. 50PSCh. 6.6 - Prob. 51PSCh. 6.6 - Prob. 52PSCh. 6.6 - Prob. 53PSCh. 6.6 - Prob. 54PSCh. 6.6 - Prob. 55PSCh. 6.6 - Prob. 56PSCh. 6.6 - Prob. 57PSCh. 6.6 - Prob. 58PSCh. 6.6 - Prob. 59PSCh. 6.6 - Prob. 60PSCh. 6 - Prob. 1PECh. 6 - Prob. 2PECh. 6 - Prob. 3PECh. 6 - Prob. 4PECh. 6 - Prob. 5PECh. 6 - Prob. 6PECh. 6 - Prob. 7PECh. 6 - Prob. 8PECh. 6 - Prob. 9PECh. 6 - Prob. 10PECh. 6 - Prob. 11PECh. 6 - Prob. 12PECh. 6 - Prob. 13PECh. 6 - Prob. 14PECh. 6 - Prob. 15PECh. 6 - Prob. 16PECh. 6 - Prob. 17PECh. 6 - Prob. 18PECh. 6 - Prob. 19PECh. 6 - Prob. 20PECh. 6 - Prob. 21PECh. 6 - Prob. 22PECh. 6 - Prob. 23PECh. 6 - Prob. 24PECh. 6 - Prob. 25PECh. 6 - Prob. 26PECh. 6 - Prob. 27PECh. 6 - Prob. 28PECh. 6 - Prob. 29PECh. 6 - Prob. 30PECh. 6 - Prob. 1SPCh. 6 - Prob. 2SPCh. 6 - Prob. 3SPCh. 6 - Prob. 4SPCh. 6 - Prob. 5SPCh. 6 - Prob. 6SPCh. 6 - Prob. 7SPCh. 6 - Prob. 8SPCh. 6 - Prob. 9SPCh. 6 - Prob. 10SPCh. 6 - Prob. 11SPCh. 6 - Prob. 12SPCh. 6 - Prob. 13SPCh. 6 - Prob. 14SPCh. 6 - Prob. 15SPCh. 6 - Prob. 16SPCh. 6 - Prob. 17SPCh. 6 - Prob. 18SPCh. 6 - Prob. 19SPCh. 6 - Prob. 20SPCh. 6 - Prob. 21SPCh. 6 - Prob. 22SPCh. 6 - Prob. 23SPCh. 6 - Prob. 24SPCh. 6 - Prob. 25SPCh. 6 - Prob. 26SPCh. 6 - Prob. 27SPCh. 6 - Prob. 28SPCh. 6 - Prob. 29SPCh. 6 - Prob. 30SPCh. 6 - Prob. 31SPCh. 6 - Prob. 32SPCh. 6 - Prob. 33SPCh. 6 - Prob. 34SPCh. 6 - Prob. 35SPCh. 6 - Prob. 36SPCh. 6 - Prob. 37SPCh. 6 - Prob. 38SPCh. 6 - Prob. 39SPCh. 6 - Prob. 40SPCh. 6 - Prob. 41SPCh. 6 - Prob. 42SPCh. 6 - Prob. 43SPCh. 6 - Prob. 44SPCh. 6 - Prob. 45SPCh. 6 - Prob. 46SPCh. 6 - Prob. 47SPCh. 6 - Prob. 48SPCh. 6 - Prob. 49SPCh. 6 - Prob. 50SPCh. 6 - Prob. 51SPCh. 6 - Prob. 52SPCh. 6 - Prob. 53SPCh. 6 - Prob. 54SPCh. 6 - Prob. 55SPCh. 6 - Prob. 56SPCh. 6 - Prob. 57SPCh. 6 - Prob. 58SPCh. 6 - Prob. 59SPCh. 6 - Prob. 60SPCh. 6 - Prob. 61SPCh. 6 - Prob. 62SPCh. 6 - Prob. 63SPCh. 6 - Prob. 64SPCh. 6 - Prob. 65SPCh. 6 - Prob. 66SPCh. 6 - Prob. 67SPCh. 6 - Prob. 68SPCh. 6 - Prob. 69SPCh. 6 - Prob. 70SPCh. 6 - Prob. 71SPCh. 6 - Prob. 72SPCh. 6 - Prob. 73SPCh. 6 - Prob. 74SPCh. 6 - Prob. 75SPCh. 6 - Prob. 76SPCh. 6 - Prob. 77SPCh. 6 - Prob. 78SPCh. 6 - Prob. 79SPCh. 6 - Prob. 80SPCh. 6 - Prob. 81SPCh. 6 - Prob. 82SPCh. 6 - Prob. 83SPCh. 6 - Prob. 84SPCh. 6 - Prob. 85SPCh. 6 - Prob. 86SPCh. 6 - Prob. 87SPCh. 6 - Prob. 88SPCh. 6 - Prob. 89SPCh. 6 - Prob. 90SPCh. 6 - Prob. 91SPCh. 6 - Prob. 92SPCh. 6 - Prob. 93SPCh. 6 - Prob. 94SPCh. 6 - Prob. 95SPCh. 6 - Prob. 96SPCh. 6 - Prob. 97SPCh. 6 - Prob. 98SPCh. 6 - Prob. 99SP
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- 1. Find the total area bounded by the curves y = x² − 3x and y = x³ + x² − 12x.arrow_forward1.Find the area enclosed by the curve y=x⁴ and y²=8x 2.find the area enclosed by the curve y=x²+1 and y=7-xarrow_forward4. Find the volume of the area bounded by the line y = 3x + 4 and the curve y : = x2 if it is revolved about the line x = 6.arrow_forward
- 3. Determine the area to the right of g (y) = y? + 4y – 5 and to the left of the y- axis.arrow_forward3. A solid is generated when the region in the first quadrant enclosed by the graph ofy=(r +1)', the line x = 1, the x- axis, and the y-axis is revolved about the x- axis. Its volume is found by evaluating which of the following integrals? А. | dr dx С. dx D. * E. 27 drarrow_forward1. Find the antiderivative of sin '(2r)d.r. 2. Find the area of the region bounded by the r-axis, the vertical line defined by = 1, and the graph of y = 2xe ". 3. Find the area enclosed by the ellipse 1.arrow_forward
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