MAC 2311 Midterm: MAC 2311 FIU Exam f11k

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15 Feb 2019
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Final exam and key: (25 pts) compute and simplify; R ln(e4t) dt : (15 pts) compute; d dx x sin(3x) d dx cot(x) Find dy/dx, given that x2 + y2 = 40: (10 pts) find the slope of the tangent line to the parametric curve, x = cos(t), y = 3 sin(t) at the point where t = /3. For maximum credit, use the chain rule as done in class: (10 pts) suppose a baseball player is moving at 25 ft/sec from 2nd base towards 3rd, when he is 20 ft away from 3rd. Notes: the bases form a 90 ft square, and you can ask me for a picture. If f (x) > g (x) on (1, 4), then f (3) f (2) > g(3) g(2). If f is increasing on (a, b) then f (x) > 0 there. A continuous function can have two di erent horizontal asymptotes.

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