## hich of the following is the general solution of the differential equation dy dx equals the quotient of 8 times x and y ?

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
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)

 7.67 -3 -0.33 3

### nanotechnology and medicine

Bill is a manager at a midsize personal computer manufacturer offering customers desktops and laptops. He has watched the recent, rapid rise of tablet computers with some concern. Initially, tablets….

### company’s ability to enter the tablet market

Bill is a manager at a midsize personal computer manufacturer offering customers desktops and laptops. He has watched the recent, rapid rise of tablet computers with some concern. Initially, tablets….

### wearable devices,

Bill is a manager at a midsize personal computer manufacturer offering customers desktops and laptops. He has watched the recent, rapid rise of tablet computers with some concern. Initially, tablets….