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1) Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis

Math Apr 08, 2023
1) Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis.
y = e^2x, x = −ln(3), x = ln(3), y = 0;
 about the x-axis
 
 2.Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis.
y = −|x − 4| + 4, y = 0;
 about the x-axis
 
 3.Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis of revolution. (Round your answer to two decimal places.)
y = −|x − 2| + 2, y = 0;
 about the y-axis
 
 4.Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis of revolution. (Round your answer to two decimal places.)
y = x2/3, y = x2; about y = −1

5.Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis of revolution. (Round your answer to two decimal places.)
y = 
2
/x, y = −x + 3;
 about the y-axis
 
 6.Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis of revolution.
y = 
1
/x
,
 y = 1,
 y = 5,
 x = 0;
 about the x-axis

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