MATH 41 Final: MATH 41 Stanford 08Final

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Show all your work to receive full credit for a problem. Points will be taken o if you do not show how you arrived at your answer, even if the nal answer is correct. Please keep your written answers brief; be clear and to the point. Points will be taken o for rambling and for incorrect or irrelevant statements. Whenever possible, nd the exact values of integrals by nding antiderivatives or using the table of integrals. When you use a formula from the table of integrals, mention the formula number and the value(s) of any constant(s) that you may need. If needed, round o your answers to four decimal places. Questions are printed on both sides of a page. You may use any of the following facts: Pn(x) = f (x0) + f (x0)(x x0) + f (x0) 2! (x x0)2 + + f (n)(x0) n! (x x0)n. Z u dv = uv z v du.