MATH 221 Final: MATH 221 KSU Final Exam s94

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The point value of each problem is indicated in the left margin. You must show all of your work for full credit. Points will be deducted for faulty reasoning, for sloppy notation, and for failure to simplify answers, even if your answer is correct. You may use a calculator, your class notes, and any reference material. Explicitly cite, in some manner, any published formulae you use. (7) 1. Assume that f is invertible and di erentiable everywhere with f (5) = 7 and f (5) = 2 . What is (f 1) (7) ? page 2 of 8 pages. Find z x sin 2xdx . page 3 of 8 pages. Find constants a , b and c so that. Bx + c x2 + x + 1. Use the trapezoidal rule with n = 4 to approximate. 0 e x2 dx. page 4 of 8 pages x.