MAC 2311 Midterm: MAC 2311 FIU fin07fk
15 Feb 2019
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Prof. s. hudson: (20 pts) compute and simplify. R sin2 t dt : (20 pts) compute; d dx log2(sin(x)) Explain brie y: (10 pts) compute, limx 0 tan(3x) x cos(4x, limx 0. 3x 1: (10 pts) a rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals (see the gure below or on the board). [if you don"t understand this story, ask me!] The function f (x) = |x 2|2 is di erentiable on ( , ). A fourth degree polynomial must have a minimum value on ( , ). The function f (x) = sec(4x), de ned on [0, /6], has an inverse. The function tan 1(x2) on ( , ) has an inverse. If f is an antiderivative of an antiderivative of f , then f (x) = f (x): (5pts) suppose that a(x) is the area under y = x + 10, and directly above the line segment [0, x].
