Elsner_Exam_1_Spring_2009_Apr24

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<*—. Math 102 Test-092-1 Name \\ <Y\ni\u Do not write steps or answers on this page. Show support steps jand/or reasons for answers. 1. Evaluate the integrals. In (a*), (b*), (c*) ejLaluMeJhelunctions in your answers. .4 (a*) [ 2sin(/) df (b*) dx (c*) f In 2 e~* dx (d) [ cos (5y) dy (e) W { sec2(jix) dx (g) dx (h) [U2-l)2dx (i) dc 2. The acceleration of a particle in linear motion is given by a{t) = 2 t — 13 . Given that the velocity, v{t) , of the particle is 9 when / = 2 , find v(3) . f5 f5 3. Given f{x) dx = 9, find the value of 8-3/U) dx. J, J, Show proper support steps, using the linear properties of integrals.

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Unformatted text preview: Simplify your answer to an integer. 4. Set up (do not evaluate) a definite integral to represent the area between the graphs of the line , y = x + 10 , and the parabola, y = x + 4 x. 5. Find the average value of the function, f{x) =x —3x, on the interval , [0,2]. 6. Given that F{x) = 2x-3 t t —A d/ , evaluate the derivative , F (2) . r + 1 4-S xVti A* = V * C 2,-3 ffl X.NT _-16 ^ •?_ = C8) Cd) fco...
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