Evaluate the integral.
A. -
x e-2x - e-2x + C
B. -10x e-2x - 26 e-2x + C
C. -
x e-2x - 
e-2x + C
D. 
x e-2x + 
e-2x + C
Answer: C
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Solve the problem.The force acting on a pendulum to bring it to its perpendicular resting point is called the restoring force. The restoring force F, in Newtons, acting on a string pendulum is given by the formula F = mg sin?where m is the mass in kilograms of the pendulum's bob, g ? 9.8 meters per second per second is the acceleration due to gravity, and ? is angle at which the pendulum is displaced from the perpendicular. What is the value of the restoring force when m = 0.6 kilogram and ? = 45°? If necessary, round the answer to the nearest tenth of a Newton.
A. 4.2 N B. 4 N C. 3.9 N D. 5 N
For the pair of functions, find the indicated sum, difference, product, or quotient.f(x) = 7x - 9, g(x) = 5x - 2Find (f/g)(x).
A. 
B. 
C. 
D. 
Convert the angle in degrees to radians. Express answer as a multiple of ?.150°
A. 
radians
B. 
radians
C. 
? radians
D. 
radians
Compute the compound interest.At what interest rate must $4400 be compounded annually to equal $12,923.65 after 14 yr? (Round to the nearest percent.)
A. 9% B. 7% C. 10% D. 8%