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August 31, 2015

Homework Help: Calculus

Posted by Aaron on Friday, December 19, 2008 at 3:53pm.

Let f be the function given by f(t) = 2t + sin(2t)
a) Find the value of t in the open interval (0,20 for which the line tangent at (t, f(t)) is parallel to the line through (0,0) and (2,4)
b) Suppose the given function describes the position of a particle on the x-axis for time (0,2). What is the average velocity of the particle over that interval?
c) Determine the velocity and acceleration of the particle at t=1. Is the object speeding up or slowing down?

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