Find the coefficient a of the term in the expansion of the binomial.
BinomialTerm

A. a = 13
B. a = 10206
C. a = 45
D. a = -19683
E. a = 3024


Answer: B

Mathematics

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Use the method of undetermined coefficients to solve the differential equation. + y = x + sin 8x;   = 1 and y = 0 when x = ?

A. y = -  cos x + ? sin x + x -  sin 8x
B. y =  sin x + ? cos x + x -  sin 8x
C. y = -  sin x + ? cos x + x -  sin 8x
D. y = -  sin x - ? cos x + x -  sin 8x

Mathematics

Solve the problem.In 1998, the population of Country C was 28 million, and the exponential growth rate was 1% per year. Find the exponential growth function.

A. P(t) = 280.01t , where P(t) is in millions and t is the number of years after 1998. B. P(t) = 28e0.01t, where P(t) is in millions and t is the number of years after 1998. C. P(t) = 28e0.01, where P(t) is in millions and t is the number of years after 1998. D. P(t) = 28e1t, where P(t) is in millions and t is the number of years after 1998.

Mathematics

Find the integral.

A.  -  + C
B. -  + C
C.  -  + C
D. -  +  + C

Mathematics

Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability.Two marbles are drawn from a bag in which there are 4 red marble and 2 blue marble. The number of blue marbles is counted.

A.

B.

C.

D.

Mathematics