MAT 126 Midterm: F14mt2
31 Jan 2019
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Name (please print legibly): no calculators or notes are allowed on this exam, please remove your hat if it has a visor, please disable your electronic gadgets, please show all of your work. You may use the backs of pages if necessary. You might not receive full credit for a correct answer if there is insu cient work shown. 100 (18 pts) shown below is a portion of the parabola y = 6 x2, with an inscribed. For which value of x is the area of the rectangle maximized? x. Use the second derivative test to verify that your answer is indeed a maximum: (16 pts) (a) find the derivative of f (x) = ex. 2+3x. (b) find the derivative of g(x) = (1 + 3 cos x)100. (c) compute lim x 0 sin(3x) x (d) evaluate arctan( 1): (16 pts) consider the ellipse x2 + 2y2 = 22, shown below.
