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Final Exam Solutions 2010 - MAT 191 Final Exam. December,...

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MAT 191 Final Exam. December, 2010. Jennings.Please use your own paper. This is a closed book, closed note test. You may use calculators that computenumbers, but symbolic calculators, computers, phones, and other communications devices are not allowed.Above all, SHOW YOUR WORK!!1. Find the derivatives of these functions(a)s(x) =5x.
(b)f(x) =ex(x2+ 6x+ 2).(c)g(x) =x
(d)h(x) = (x2+ 3x+ 5)10.
(e)xln(x2+ 1).
(f)k(x) = arctan(5x).
Solution:(Quotient rule, chain rule.)p(x) =sin(3x+ 2)ex2(2x)-ex2cos(3x+ 2)(3)sin2(3x+ 2).2. Find the integrals.
(c)integraldisplayx(x2+ 5)4dx.
(d)integraldisplaysin5(θ) cos(θ).
(e)integraldisplaydt3 + 4t.
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Term
Spring
Professor
GeorgeJennings
Tags
Calculus, Derivative, lim, Continuous function

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