9. Consider the finite region R that is bounded by the curves y = 1 + ½(x − 2)², y = 1⁄2x², and x = 0. a. Determine a definite integral whose value is the area of the region enclosed by the two curves. b. Find an expression involving one or more definite integrals whose value is the volume of the solid of revolution generated by revolving the region R about the line y = -1. c. Determine an expression involving one or more definite integrals whose value is the volume of the solid of revolution generated by revolving the region R about the y-axis. d. Find an expression involving one or more definite integrals whose value is the perimeter of the region R.

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