MATH 141 Midterm: MATH141 South Carolina Exam 2
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You must show your work to receive full credit. Indicate your nal answer with a box : find the derivative of the given function. (a) (4 points) f (t) = sin(t2 1). (b) (6 points) g(x) = (cid:16) x. 3 ln x(cid:17)2: (10 points) the position at time t 0 of a particle moving along a horizontal coordinate line is given by s = 20 cos(t + /2). Find the particle"s starting position, furthest distance left and right, and its velocity,speed and acceleration. Page 2: the demand equation for a quantity q of a product at price p, in dollars, is p = 5q + 5000. Companies producing the product report the cost, c, in dollars, to produce a quantity q is c = What is the maximum pro t? (you need to plug in the value, but do not worry about multiplying everything out. 3+2: (10 points) consider the function f (x) = x2 + 2 x .