MA 16500 Midterm: Fall 2001, 2
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/100: write your name, student id number, recitation instructor"s name and recitation time in the space provided above. Correct answers with inconsistent work may not be given credit: credit for each problem is given in parentheses in the left hand margin, no books, notes or calculators may be used on this exam. (12) 1. It is not necessary to simplify. (a) f (t) = 2t 5)4 (b) f (x) = tan 1(ex) (c) h(x) = p1 + cos(2x) f (t) = Find an equation for the tangent line to the graph of y = sin x + cos 2x at (cid:0) . Find the value of each of the following inverse trigonometric functions. (a) tan 1(cid:18) . Find dy dx by implicit di erentiation if xy = 1 + x2y. (6) 5. Find the second derivative of the function h(t) = tan 3t. dy dx.
