?2x cos (2x)dx

Evaluate.

1/2 cos(2x) + x sin(2x) + C

Mathematics

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Use scientific notation to solve the problem.If the speed of light is 3.00 × 108 m/sec, how long does it take light to travel the distance from the sun to Mars?

A. 7.6 × 103 sec B. 76 sec C. 7.6 × 102 sec D. 7.6 × 102 min

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Mathematics

Find the center, transverse axis, vertices, foci, and the equations of the asymptotes of the hyperbola.(y + 2)2 - 25(x + 2)2 = 25

A. center: (-2, -2)
transverse axis: x = -2
vertices: (-2, -7) and (-2, 3)
foci: (-2, -2 - ) and (-2, -2 + )
asymptotes: y + 2 = - 5(x + 2) and y + 2 = 5(x + 2)
B. center: (-2, -2)
transverse axis: x = -2
vertices: (-1, -6) and (-1, 4)
foci: (-1, -1 - ) and (-1, -1 + )
asymptotes: y + 2 = - (x + 2) and y + 2 = (x + 2)
C. center: (-2, -2)
transverse axis: y = -2
vertices: (2, -5) and (-2, 5)
foci: (-2, - ) and (-2, )
asymptotes: y + 2 = - 5(x + 2) and y + 2 = 5(x + 2)
D. center: (2, 2)
transverse axis: x = 2
vertices: (2, -3) and (2, 7)
foci: (2, 2 - ) and (2, 2 + )
asymptotes: y + 2 = - 5(x + 2) and y + 2 = 5(x + 2)