Question

there are 5 parts to this question 1.Find the area of the region R enclosed by...

there are 5 parts to this question

1.Find the area of the region R enclosed by the graphs of y = x 2 , the y-axis and the line y = 4

2.Find the volume of the solid generated by revolving the region in problem 1 about the x-axis.

3.Use the cylindrical shell method to find the volume of the solid generated by revolving the region in problem 1 about the y-axis.

4.Find the volume of the solid generated by revolving the region in problem 1 about the line x = −5

5.Find the volume of the solid generated by revolving the region in problem 1 about the line y = −2.

6.Find the volume of the solid whose base is the region in problem 1 and whose cross sections, perpendicular to the y-axis, are squares

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