Rationalize the denominator and then simplify.
?

?

A.
B.
C.
D.
E.

Answer: E

Mathematics

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Solve the given differential equation. (The form of yp is given.)D2y - 2Dy + y = x2 + 2x + sin 2x(Let yp = Ax2 + Bx + C + E sin 2x + F cos 2x.)

A. y = c1ex + c2xex + 6x2 + 6x + 10 sin 2x +  cos 2x
B. y = c1ex + c2xex + 6x2 + 6x + 10 +  sin 2x +  cos 2x
C. y = c1ex + 6x2 + 6x + 10 -  sin 2x +  cos 2x
D. y = c1ex + c2xex + 6x2 + 6x + 10 -  cos 2x +  sin 2x

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Mathematics

Graph the linear function and give the domain and range.h(x) = -6x

A. D = (-?, ?),
R = (-?, ?)

B. D = (-?, ?),
R = (-?, ?)

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Mathematics

Find the equation of the indicated least-squares curve. Sketch the curve and plot the data points on the same graph.For the points on the following table, find the least-squares curve y = mx2 + b.

A. y = 4.14x2 + 1

B. y = 1.07x2 - 0.76

C. y = 2.14x2 - 1.52

D. y = 3.5x2 + 5.9
 

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Mathematics

Evaluate the improper integral or state that it is divergent.

A. 4 B. Divergent C. -4 D. 0

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Mathematics