Solve the problem. Round to the nearest tenth, if necessary.If an object is propelled upward from a height of 80 feet at an initial velocity of 64 feet per second, then its height after t seconds is given by the equation
, where h is in feet. After how many seconds will the object reach a height of 144 feet?
A. 1 sec
B. 4 sec
C. 8 sec
D. 2 sec
Answer: D
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Write the integral that gives the surface area generated when the curve is revolved about the x-axis. Do not simplify.y = x9 on [0, 4]
A. 2?dx
B. dx
C. 2?dx
D. 2?dx
For the function shown in the graph, find the indicated function value and limit.Find f(0) and f(x).
A. 0: 6 B. Does not exist; 0 C. 6; does not exist D. 6; 0
Perform the indicated operation without the use of a calculator and express each answer in decimal notation.
A. 9e+13 B. 0.00009 C. 90,000 D. 9000
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