Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Question
Chapter 12.3, Problem 52PS
To determine
To find: The volume of the solid region.
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1.Find the volume of the first octant region bounded by the coordinate planes and the parabolic cylinders y=−5x^2+5, z=−3x^2+3.
2.Find the volume of the region bounded by the surfaces
z=√7x^2+7y^2
x^2+y^2=49
z=0
17. Find the volume of the solid generated by revolving the region bounded by the graphs of
the equations about the given lines.
y-22-10x-x²y=x+22
(1)x-axis; (ii) the line y = 11
18. The graph of x2/3 + y²/3 = 1 is called an astroid and is given be-
low. Find the volume of the solid formed by revolving the region
enclosed by the astroid about the x-axis.
x2/3 + y 2/3 = 1
-1
Chapter 12 Solutions
Calculus
Ch. 12.1 - Prob. 1PSCh. 12.1 - Prob. 2PSCh. 12.1 - Prob. 3PSCh. 12.1 - Prob. 4PSCh. 12.1 - Prob. 5PSCh. 12.1 - Prob. 6PSCh. 12.1 - Prob. 7PSCh. 12.1 - Prob. 8PSCh. 12.1 - Prob. 9PSCh. 12.1 - Prob. 10PS
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- YOUR TURN Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by y=x2+1, y=0, x=1 and x=1.arrow_forwardFind the exact volume of the solid that results when the region bounded in quadrant I by the axes and the lines x=9 and y=5 revolved about the a x-axis b y-axisarrow_forwardSuppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.arrow_forward
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