## The rate of water flow R(t) can be estimated by W(t) = ln(t2 + 7). Use W(t) to approximate the average rate of water flow during the 8-hour time period. Indicate units of measure.

Which of the following definite integrals could be used to calculate the total area bounded by the graph of y = sin(x), the x-axis, x = 0, and x = π (4 points)

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

 16 18 8 32
3.  Evaluate the integral  . (4 points)

 -2 0 2 4
4.  Use your graphing calculator to evaluate to three decimal places the value of  . (4 points)

 3.771 3.636 1.571 1.111
5.   (4 points)

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

 1463.18 731.59 1517.78 23.6
2.  Find the velocity, v(t), for an object moving along the x-axis if the acceleration, a(t), is a(t) = 2t + sin(t) and v(0) = 4. (4 points)

 v(t) = t2 + cos(t) + 3 v(t) = 2 + cos(t) + 1 v(t) = t2 – cos(t) + 5 v(t) = t2 + sin(t) + 4
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)

 16 12

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