Find the cumulative distribution function for the given probability density function.f(x) = x2; [2, 4]

A. F(x) = , 2 ? x ? 4
B. F(x) = , 2 ? x ? 4
C. F(x) = , 2 ? x ? 4
D. F(x) = , 2 ? x ? 4


Answer: A

Mathematics

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Find a rectangular equation equivalent to the given pair of parametric equations.x = 2 sin t, y = 3 csc t; 0 < t < ?

A. y = ; 0 < x ? 2
B. y = 4x; 0 < x ? 2
C. y = 6x; 0 < x ? 2
D. y = ; 0 < x < 2

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Provide an appropriate response.Which of the following statements is false?

A. converges if p > 1.
B.  converges if p >1 and diverges if p ? 1.
C. If an and f(n) satisfy the requirements of the Integral Test, and if  converges, then  = 
D. The integral test does not apply to divergent sequences.

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Find the function value.Find f(4) when f(x) = 9 - 8x2.

A. 137 B. -119 C. -23 D. -55

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Solve the problem.The distance traveled, d, is equal to the speed, r, multiplied by the time traveled, t. If John traveled at 68 miles per hour for 4 hour(s), then how far did he travel?

A. 272 mi B. 544 mi C. 72 mi D. 548 mi

Mathematics