Solve the problem.An object of mass m attached to a coiled spring with damping factor b is pulled down a distance a from its rest position and then released. Assume the positive direction of the motion is up and the period of the first oscillation is T. Write an equation that relates the distance d of the object from its rest position after t seconds. m = 15 g; a = 11 cm; b = 0.7 g/sec; T = 3 sec
What will be an ideal response?
d = -11e-0.7t/30 cos 
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Solve the problem.The grade resistance F of a car traveling up or down a hill is modeled by the equation F = W sin ?, where W is the weight of the car and ? is the angle of the hill's grade (? > 0 for uphill travel, ? < 0 for downhill travel). Find the weight of the car (to the nearest pound) that is traveling on a 
downhill grade and which has a grade resistance of 
lb.
A. 4000 lb B. 4300 lb C. 4100 lb D. 3800 lb
Solve the problem.In North America, coyotes are one of the few species with an expanding range. The future population of coyotes in a region of Mississippi valley can be modeled by the equation 
, where t is time in years. Use the equation to determine when the population will reach 170. (Round your answer to the nearest tenth year.)
A. 583.1 years B. 581.3 years C. 578.0 years D. 586.2 years
Solve, finding all solutions in [0, 2?).
tan x - 2 = 0
A. 
, 
B. 
, 
C. 
, 
D. 
, 
Simplify.
A. 13 B. 84 C. 14 D. Not a real number