Solve the problem.A foul tip of a baseball is hit straight upward from a height of 4 feet with an initial velocity of
per second. The function
+ 4 describes the ball's height above the ground, s(t), in feet, t seconds after it was hit. The ball reaches its maximum height above the ground when the instantaneous speed reaches zero. After how many seconds does the ball reach its maximum height?
A.
B. 112
C. 7
D.
Answer: D
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Simplify the given expression. Expansion of any term is not necessary; proper recognition of the form of the expression leads to the proper result.2 cos2 4x - 1
A. sin 16x
B. 2 sin 4x
C. cos 8x
D. cos 4x
For the given functions f and g , find the indicated composition.f(x) = ,g(x) =
(f?g)(x)
A.
B.
C.
D.
Arrange in ascending powers of x.18x - 18x3 - 14 - 5x7 + 4x2
A. 18x7 - 18x3 - 14x2 - 5x + 4 B. -5x7 - 18x3 + 4x2 + 18x - 14 C. 18x + 4x2 - 18x3 - 5x7 - 14 D. -14 + 18x + 4x2 - 18x3 - 5x7
Solve the problem.Midtown Antiques collects 3% sales tax on all sales. If total sales including tax are $1034.87, find the portion that is the tax. Round to the nearest cent if necessary.
A. $30.14 B. $31.05 C. $20.14 D. $1004.73