Vr2 – x², whose graph is the 6. Let r > 0 be a real number. Suppose y semi-circle of radius r about the origin. f(x) upper || (a) Calculate and simplify the expressions V1+ f'(x)² and f(x)/1+ f'(x)². (b) Suppose -r < a < b < r. Calculate the surface area of the portion of the sphere of radius r between x = a and x = b. (c) Imagine cutting a spherical orange by equidistant parallel planes. (An orange cut into nine equal-width pieces is shown.) Which pieces do you expect to have the most rind: Those near "the poles", or those near "the equator"? How does your intuition compare with the result of (b)?

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