For parts (a)-(e), use the function y=x2 from x=0 to x=1 with n equal subintervals and the

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For parts (a)-(e), use the function y=x2 from x=0 to x=1 with n equal subintervals and the function evaluated at the right-hand endpoints.

(a) Find a formula for the sum of the areas of the n rectangles (call this S). Then find

(b) S(10).

(c) S(100).

(d) S(1000).

(e) lim n →∞

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