Let R be the region enclosed by the x-axis, the y-axis, the line x = 2...

Let R be the region enclosed by the x-axis, the y-axis, the line x = 2 , and the curve ? = 2?? +3?

(1) Find the area of R by setting up and evaluating the integral.
(2) Write, but do not evaluate, the volume of the solid generated by revolving R around

the y-axis
(3) Write, but do not evaluate the volume of the solid generated by revolving R around

the x-axis
(4) Write, but do not evaluate the volume of the solid generated by revolving R around

the line x = 4
(5) Write, but do not evaluate the volume of the solid generated such that each cross

section is a rectangle with base on R and the other side four times the base.
(6) Write, but do not evaluate the volume of the solid generated such that each cross

section is a semicircle with diameter on R.
(7) Write, but do not evaluate the volume of the solid generated such that each cross

section is an equilateral triangle with side on R.
(8) Write, but do not evaluate the volume of the solid generated such that each cross

section is an isosceles right triangle with height on R.
(9) Write, but do not evaluate the perimeter of the R.

Solutions

Expert Solution

milcah answered 1 year ago

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