Solve.The distance an object falls when dropped from a tower varies directly as the square of the time it falls. If the object falls 144 feet in 3 seconds, how far will it fall in 12 seconds?
A. 2016 ft
B. 2592 ft
C. 2304 ft
D. 192 ft
Answer: C
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Solve the initial value problem.
= 6 sin 2 x cos x, y(0) = 6
A. y = 3 cos 2 x + 6 B. y = 2 sin 3 x + 6 C. y = 12 sin x cos x + 6 D. y = - 2 sin 3 x - 6
Solve the problem.A tank initially contains 100 gal of brine in which 40 lb of salt are dissolved. A brine containing 
of salt runs into the tank at the rate of 4 gal/min. The mixture is kept uniform by stirring and flows out of the tank at the rate of 3 gal/min. Find the solution to the differential equation that models the mixing process.
A. y = 4(50 + t) - 
B. y = 4(50 + t) - 
C. y = 2(100 + t) - 
D. y = 2(100 + t) - 
Determine the reference angle for the given angle.? = -63.1°
A. 63.6° B. 26.9° C. 63.1° D. 27.4°
For the given rectangular equation, write an equivalent polar equation.y = 7
A. r = 7 csc ? B. r = 7 cos ? C. r = 7 sec ? D. r = 7 sin ?