An expression that occurs in calculus is given. Factor completely.2(x + 4)(x - 3)3 + (x + 4)2 ? 4(x - 3)2

A. 2(x + 3)(x - 4)2(3x + 5)
B. (x + 4)(x - 3)2(3x + 5)
C. (x + 4)(x - 3)2(6x + 10)
D. 2(x + 4)(x - 3)2(3x + 5)


Answer: D

Mathematics

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Find the general solution of the equation. Express the solution explicitly as a function of the independent variable.u'(x) = e7x-3u

A. u =  ln
B. u =  ln + C
C. u = 3 ln + C
D. u = 3 ln

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Solve the problem.If p > 1 and q > 1, what can be said about the convergence of ?

A. May converge or diverge B. Always diverges C. Always converges

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Use a spherical coordinate integral to find the volume of the given solid.the solid enclosed by the cardioid of revolution 

A. ?
B. ?
C. ?
D. ?

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Perform the indicated operation.(x - 6) ? 

A.
B.
C.
D. -1

Mathematics