In: Math
Consider a region R bound by the coordinate axes and y = ( 9 + x 2 ) − 1 2 on 0 ≤ x ≤ 4.
a. Find the area of R.
b. Suppose R is revolved about the x-axis to form a solid. Find the volume of the solid.
c. Suppose R is revolved about the y-axis to form a solid. Find the volume of the solid.