Solve the problem.A ball is dropped from a height of 5.0 m. On each upward bounce the ball returns to
of its previous height. Find the total vertical distance the ball travels before coming to rest.
A. 46.0 m
B. 25.0 m
C. 45.0 m
D. 50.0 m
Answer: C
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Use the linear approximation (1 + x)k ? 1 + kx, as specified.Find an approximation for the function f(x) = for values of x near zero.
A. f(x) ? 1 + x
B. f(x) ? - 2 - x
C. f(x) ? - 2 + x
D. f(x) ? 1 - x
Solve the problem.The daily profit in dollars of a specialty cake shop is described by the function where x is the number of cakes prepared in one day. The maximum profit for the company occurs at the vertex of the parabola. How many cakes should be prepared per day in order to maximize profit?
A. 22 cakes B. 1452 cakes C. 44 cakes D. 484 cakes
The graph of an exponential function is given. Match the graph to one of the following functions.
A. f(x) = - 3-x B. f(x) = - 3x C. f(x) = 3x D. f(x) = 3-x
It can be shown that the area enclosed between the x-axis and one arch of the sine curve is 2. Use this fact to compute the definite integral.dx (Hint: each rectangle is 6 times as wide.)
A. 12 B. 72 C. 2 D. 6