MATH 221 Midterm: Kansas State MATH 221 221t1s94

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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. (10) 1. Use substitution to evaluate z e2x sec(e2x)dx . 9 + x6 dx . page 2 of 4 pages. Use integration by parts to evaluate z x1/2 ln xdx . Use a trigonometric substitution to evaluate z (sin ) 1/2(cos )3d . Find constants a , b and c so that. 4x2 + 13x 9 x(x + 3)(x + 1) C x + 1 page 3 of 4 pages. During the rst month of growth, the rate of growth (in grams per day) dw of a cotton plant is.