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11. (11 points] (a) Carefully state the Fundamental Theorem of Integral Calculus. pºr? + 4.0 -1, (b) Evaluate J- +2 (0) Evaluate | (2v=-) dr.

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Related questions

5. (a) Carefully define what it means for a functionſ to be differentiable at a number a [3 points] (x + 1)3/2 + 2.0 -1 7 (b) Use your answer in part (a) to show that lim (A solution using l'Hopital's rule (if you know that) will earn 0 points) [4 points) (c) Carefully state the Fundamental Theorem of Calculus. [4 points)

10. (11 points) (a) Carefully state what is meant by the terms antiderivative and indefinite in- tegral. (b) Find / zlog, v dr. () Find / 142 dr.

1. Short Answer Problems a) State the precise mathematical definition of lim f(x) = -0 b) State the Fundamental Theorem of Calculus. c) Find the exact value of tan(sec-1(4).

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