Evaluate the definite integral.
dx
A.
B. 3 - 3
C. -
D. 2 - 1
Answer: C
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Rewrite the expression in terms of exponentials and simplify the results.(sinh x + cosh x)3
A.
B. e3x
C. e3x - e-3x
D. ex3
Find the solution set of the system by graphing the equations by hand. If the system is inconsistent or dependent, say so.x -
y = 5
x +
y = 12
A. (3, 4) B. (4, -3) C. (3, 1) D. (4, 3)
Find all rational zeros and factor f(x).f(x) = 4x3 - 24x2 - x + 6
A. 2, -2, 6; f(x) = (x - 2)(x + 2)(x - 6)
B. , -
, 6; f(x) = (x - 2)(x + 2)(x - 6)
C. 1, -1, 6; f(x) = (2x - 1)(2x + 1)(x - 6)
D. , -
, 6; f(x) = (2x - 1)(2x + 1)(x - 6)
The life expectancy of a fluorescent tube is normally distributed with a mean of 5,800 hours and a standard deviation of 800 hours. Find the probability that a tube lasts for more than 7,400 hours. Use the Empirical Rule.
a. 0.8410 b. 0.4770 c. 0.5230 d. 0.1590