Solve the problem.The rate at which an assembly line worker's efficiency E (expressed as a percent) changes with respect to time t is given by
where t is the number of hours since the worker's shift began. Assuming that
find E(t).
A. E(t) = 80t - 6t2 + 15
B. E(t) = 80t - 3t2 + 169
C. E(t) = 80t - 3t2 + 15
D. E(t) = 80t - 3t2 + 92
Answer: C
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Find the particular solution to the given differential equation that satisfies the given conditions.y'' + 4y = 0, y = 3 at x = 0 and y = 5 at x = ?/4
A. y = ex(5 sin 2x + 3 cos 2x) B. y = (3 + 5x)e2x C. y = 5 sin 2x + 3 cos 2x D. y = 3 sin 2x + 5 cos 2x
Solve the problem. Round your answer to two decimal places.The period of vibration P for a pendulum varies directly as the square root of the length L. If the period of vibration is 3 sec when the length is 36 inches, what is the period when inches?
A. 3.5 sec B. 3.75 sec C. 0.75 sec D. 3.25 sec
An ordinary die is rolled. Find the probability of rolling a 5. ?
A.
B. ?
C. ?
D. ?
E. ?
The graph of an exponential function is given. Match the graph to one of the following functions.
A. f(x) = -4x B. f(x) = -4-x C. f(x) = 4-x D. f(x) = 4x