Evaluate the integral.
A. -
x e-5x - 
e-5x + C
B. -
x e-5x - e-5x + C
C. -10x e-5x - 65 e-5x + C
D. 
x e-5x + 
e-5x + C
Answer: A
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Find the derivative of y with respect to x, t, or ?, as appropriate.y = ln(x - 8)
A. 
B. - 
C. 
D. 
Use the inverse trig functions to express the angle in terms of the indicated unknown side. ?
Given that y = 8, express angle A in terms of x. Use one of the inverse trig functions tan-1, sin-1, or cos-1.
A. A = tan-1 
B. A = sin-1 
C. A = sin-1 
D. A = tan-1 
Rectangular coordinates of a point are given. Use a graphing utility in radian mode to find polar coordinates of the point.(6, 8) Express ? to three decimal places.
A. (10, 0.927) B. (14, 0.644) C. (10, 0.848) D. (10, 0.644)
Solve the problem.The figure shows two intersections, labeled A and B, that involve one-way streets. The numbers and variables represent the average traffic flow rates measured in vehicles per hour. For example, an average of 800 vehicles per hour enter intersection A from the west, whereas 450 vehicles per hour enter this intersection from the north. A stoplight will control the unknown traffic flow denoted by the variables x and y. Use the fact that the number of vehicles entering an intersection must equal the number leaving to determine x and y.
A. x= 600, y = 650 B. x= 450, y = 350 C. x= 650, y = 600 D. x= 800, y = 700