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Homework 10 - MATH 106 CALCULUS I FOR BIO SOC SCI FALL 2011...

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MATH 106 CALCULUS I FOR BIO. & SOC. SCI. FALL 2011 INSTRUCTOR: JOS ´ E MANUEL G ´ OMEZ Homework 10. Due date Friday December 2, 2011 Please show all your work. (1) (6 Points) Find the most general antiderivative of the following functions: (a) (2 Points) f ( x ) = x 3 + 2 x 3 . (b) (2 Points) g ( x ) = x + 3 x + 4 x . (c) (2 Points) h ( x ) = sec 2 (2 x ). (2) (6 Points) Compute the following integrals: (a) (3 Points) integraldisplay parenleftbigg e - 3 x + 2 x parenrightbigg dx. (b) (3 Points) integraldisplay 1 0 parenleftbigg 1 1 + x 2 parenrightbigg dx. (3) (4 Points) Solve the following initial value problem.
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