Solve the problem.A dual-beam search light is positioned to shine on a prison wall. The light is 2 feet from the wall and rotates clockwise. The light shines on point P on the wall when first turned on 
After t seconds the distance (in feet) from the beam on the wall to the point P is given by the function
When the light beam is to the right of P, the value of d is positive, and when the beam is to the left of P, the value of d is negative. Graph d over
the interval 0 ? t ? 7.
A. 
B. 
C. 
D. 
Answer: D
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Integrate the function f over the given region.f(x, y) = y2 ex4 over the triangular region in the first quadrant bounded by the lines x = y/9, x = 1, y = 0
A. 243(e - 1)
B. 
(e - 1)
C. 
e
D. 729(e + 1)
Solve the problem.Suppose that the speed of a car, measured in miles per hour (mph), is monitored for some short period of time after the driver applies the brakes. The following table and graph relate the speed of the car to the amount of time, measured in seconds (sec), elapsed from the moment that the brakes are applied. What is happening to the speed of the car during this time frame? In which of the time intervals does the speed change the most?
A. With increasing elapsed time, the speed increases. The speed changes most during the time interval from 8 seconds to 10 seconds. B. With increasing elapsed time, the speed decreases. The speed changes most during the time interval from 2 seconds to 4 seconds. C. With increasing elapsed time, the speed decreases. The speed changes most during the time interval from 8 seconds to 10 seconds. D. With increasing elapsed time, the speed increases. The speed changes most during the time interval from 2 seconds to 4 seconds.
Use Cramer's rule to solve the linear system. If D = 0, use another method to determine the solution set.2x + 6y + 4z = 32x + 3y + 2z = -16x + y + z = -2
A. {(-2, 5, -4)} B. Cramer's rule does not apply since D = 0; {(2z-1, z + 2, z)} C. {(5, -4, -2)} D. Cramer's rule does not apply since D = 0; ?
Graph the function f by starting with the graph of y = x2 and using transformations (shifting, compressing, stretching, and/or reflection).f(x) = 
x2 + 2
A. 
B. 
C. 
D. 