Sketch the region completely enclosed by the graphs of the given functions f and g.
?
and 
?
A. ?
sq units.
?
B. ?
sq units.
?
C. ?
sq units.
?
D. ?
sq units.
?
Answer: C
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Solve the problem.dy/dt = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = .02 and when t = 0. Solve the differential equation of y when f(t) = 15t.
A. y = 750t + 37,500 + 47,500e-.02t B. y = -750t - 37,500 + 47,500e-.02t C. y = -750t - 37,500 + 47,500e.02t D. y = 750t - 37,500 + 47,500e-.02t
Completely factor the polynomial or state that the polynomial is prime.x2 - x - 56
A. (x + 7)(x - 8) B. prime C. (x + 8)(x - 7) D. (x + 1)(x - 56)
Write the fraction or mixed number as a percent.
A. 8%
B. 12%
C. 1%
D. 83%
Solve the problem.An object in simple harmonic motion has a frequency of oscillations per second and an amplitude of 4 feet. Write an equation in the form d = a sin ?t for the object's simple harmonic motion.
A. d = 4 sin
B. d = 4 sin
C. d = 4 sin
D. d = 4 sin 5?t