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A girls throws a tennis ball straight into the air with a velocity of 64 feet/sec. If acceleration due to gravity is 32 ft/sec2, how many seconds after it leaves the girl’s hand will it take the ball to reach its highest point? Assume the position at time t = 0 is 0 feet. (4 points)
Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the xaxis, x = 0, and x = π (4 points)  

2.  Suppose , and , find the value of . (4 points)  

3.  Evaluate the integral . (4 points)  

4.  Use your graphing calculator to evaluate to three decimal places the value of . (4 points)  

5.  (4 points)  


1.  Find the average value of f(x)=e2x over the interval [2, 4]. (4 points)  

2.  Find the velocity, v(t), for an object moving along the xaxis if the acceleration, a(t), is a(t) = 2t + sin(t) and v(0) = 4. (4 points)  

3.  Find the distance, in feet, a particle travels in its first 4 seconds of travel, if it moves according to the velocity equation v(t)= t2 + 4 (in feet/sec). (4 points)  

4.  For an object whose velocity in ft/sec is given by v(t) = t2 + 4, what is its displacement, in feet, on the interval t = 0 to t = 3 secs? (4 points)  
