Evaluate the definite integral.dx

A.
B. 3 - 3
C.  - 
D. 2 - 1


Answer: C

Mathematics

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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

Mathematics

Find the solution set of the system by graphing the equations by hand. If the system is inconsistent or dependent, say so.x - y = 5x + y = 12

A. (3, 4) B. (4, -3) C. (3, 1) D. (4, 3)

Mathematics

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)

Mathematics

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

Mathematics