Solve the problem.Find the general form of the function that satisfies the equation = kN.

A. k = etc
B. N(t) = cekt
C. N = cekx
D. t = cekN

Answer: B

Mathematics

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Use the method of variation of parameters to solve the differential equation.D2y - 16y = e-4x

A. y = C₁e^-4x + C₂e^4x + xe^-4x
B. y = C₁e^-4x + C₂e^4x - xe^4x
C. y = C₁e^-4x + C₂e^4x - xe^-4x
D. y = C₁e^-4x + C₂e^4x - xe^-4x

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Mathematics

Find the indicated probability or percentage for the normally distributed variable.At a local college, times for running the mile are approximately normally distributed with a mean of 4.5 minutes, and a standard deviation of What is the probability that a randomly selected time will be less than 4 minutes?

A. 0.274 B. 0.953 C. 0.227 D. 0.047

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Mathematics

Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C.F = - i; C is the region defined by the polar coordinate inequalities 1 ? r ? 2 and

A.
B.
C. -
D. 0

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Mathematics

Solve the problem.A sample of 200 grams of radioactive substance decays according to the function where t is the time in years. How much of the substance will be left in the sample after 40 years? Round your answer to the nearest whole gram.

A. 0 grams B. 1 gram C. 2465 grams D. 58 grams

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Mathematics