Find the indicated probability.f(x) = e-x; [0, ?), P(x ? 7)

A. 0.0009
B. 0
C. 00.9991
D. The function f(x) is not a probability density function.

Answer: A

Mathematics

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Provide an appropriate response.Obtain the first nonzero term of the Maclaurin series for .

A.
B. - 
C. - 
D.

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Solve the initial value problem.Differential Equation:   = (t4 + 7t2)i + 4tjInitial Condition:  r(0) = -2i + 7j

A. r(t) =  i + (2t2 - 2)j
B. r(t) =  i + 2t2j
C. r(t) =  i + (2t2 + 7)j
D. r(t) =  i + (t2 + 7)j

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Find the product.-7x7(6x8 - 2x7 + 9)

A. -42x8 + 14x7 - 63 B. -42x15 + 14x14 - 63x7 C. -42x15 + 14x14 + 9 D. -42x15 - 2x7 + 9

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Solve the problem.The data in the table was obtained for an electrical circuit with constant resistance. The current flowing through the circuit was measured when various amounts of voltage were applied to the circuit. Let I = f(V) be the current (in milliamperes) flowing through the circuit when the voltage applied to the circuit is V (in volts). Find an equation of f. Use ratios to find the variation constant.

A. f(V) = 25.04V
B. f(V) = 25.5V
C. f(V) = 
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Mathematics