Solve the given problem by using Laplace transforms.The weight on a spring undergoes forced vibrations according to the equation 
Find the displacement 
as a function of time t, if 
and 
when 
A. y = - 1
B. y = - 2
C. y = - 1
D. y = - 1
Answer: D
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Solve the problem.A dome in the shape of a spherical segment has a volume of exactly 2,000,000 ft3. If the radius of the dome is 
what is its height? (The volume of a spherical segment is given by 
.)
A. 35.569 ft B. 31.569 ft C. 35.168 ft D. 31.570 ft
Solve the problem. Express answers relative to an x'y'-system in which the given equation has no x'y'-term.24xy - 7y2 + 36 = 0; Find the equations of the asymptotes.
A. y' = - 
x' and y' = 
x'
B. y' = - 
x' and y' = 
x'
C. y' = - 
and y' = 
D. y' = - 
x' and y' = 
x'
Find the slope-intercept form of the equation of a line that passes through the given points.(3, 3), (5, -3)
A. y = 12x - 3 B. y = 3x + 12 C. y = -3x + 12 D. y = 12x + 3
Solve the problem.The speed of a ball dropped from a tower is given by the formula f = 32t where f is in feet per second and t is the number of seconds since the ball was dropped. Find the speed of the ball after 8 seconds.
A. 8 ft/sec B. 32 ft/sec C. 256 ft/sec D. 246 ft/sec