on the same axes, the curves y = 6- e and y= 5e coordinates of the points of intersection. Calculate the volume of the solid formed 2 Sketch and find the when the region is rotated through 7 radians about the axis. X-

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Q: Use the cylindrical shell method to calculate the exact volume of the solid formed by rotating the…

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Q: The surface area of a sphere increases at a rate of 64 m2/sec. Then the rate at which the radius…

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A: To find the volume of the region bounded by the curve y=x, x=0, x=6:

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Q: The surface area of a sphere increases at a rate of 77 m2/sec. Then the rate at which the radius…

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Q: Determine the surface area generated by revolving the arc 3y= 4x from x=0 to x=3 about the x-axis.

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A: The equation of the curve: y=4e-2x ⇒y4=e-2x⇒lny4=-2x             [Taking natural log (ln) on both…

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Q: Find the volume of the solid that is generated when the given region is revolved as described. The…

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A: A detailed solution is given below.

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Q: The area under the curve 4y2 =" (x2 + 1)3 was rotated about a line located to the left of y – axis…

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Q: The surface area of a sphere increases at a rate of 82 m² / sec. Then the rate at which the radius…

A: Use rate of change

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Q: (b) Find the volume of the solid generated by revolving the region enclosed by the curve y = 6x – x…

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