MAC 2311 Midterm: MAC 2311 FIU Exam 311k
15 Feb 2019
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Prof. s. hudson: [25 pts] compute these limits using any valid methods, showing all work, limx sin(2x) (x ) cos(3x) sin 1(x) 3 sin(x: limx 0, limx 0+ x ln(1/x, limx 0+ x1/ ln(x, limx 0+ x1/x, [10 pts] a farmer has 140 yd of fence with which to construct 3 sides of a rectangular pen. An existing long, straight wall will be the fourth side (you can ask about a picture). What dimensions will maximize the area of the pen: [15pts] sketch a graph of f (x) = 2x3 3x2 36x + 5 including any stationary points, in ection points or asymptotes. At what rate is his shadow length changing ? (you may ask for a picture: [20 pts] answer true or false. If f (a) = 0 then a is an in ection point of f . An absolute maximum of f must be a relative maximum or an endpoint.
