Use a CAS to solve the differential equation. Round your answers to the nearest ten-thousandth.y'' + 5y' + 6y = 0, y(0) = 5, y'(0) = -13.0000

A. y = 3e-2.000000x + 2e-3.000000x 
B. y = (2 + 3x)e-2.000000x 
C. y = 2e0.500000x + 3e-0.500000x 
D. y = 2e-2.000000x + 3e-3.000000x 


Answer: D

Mathematics

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Find the vertex for the parabola whose equation is given.y = x2 + 14x + 3

A. (-7, -46) B. (14, 395) C. (7, 150) D. (-7, -144)

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Evaluate the integral.x dx

A. x cos-1x +  + C
B. x cos-1x -  + C
C. x cos-1x - 2 + C
D. x cos-1x -  + C

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Evaluate the integral.

A. 2 - 5 ln  + C
B. 2 + 5 ln  + C
C. 2 + C
D. 2 + 5 tan-1  + C

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Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. < x

A. (-?, -7) ? (-5, 0)

B. (-?, -7) ? (0, ?)

C. (-?, 5) ? (7, ?)

D. (-7, -5) ? (0, ?)

Mathematics