Find the general solution for the differential equation.y ' = 2e3x

A. 6e3x + C
B.  e3x + C
C. 2e3x + C
D.  e3x + C


Answer: D

Mathematics

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Rewrite the given integral so that it fits the form , and identify u, du, and n.

A. ; u = csc x, du = cot6x dx, n = 2
B. -; u = cot x, du = - csc2 x dx, n = 6
C. ; u = cot x, du = csc2 x dx, n = 6
D. ; u = tan x, du = csc2x dx, n = -6

Mathematics

Find the point-slope equation for the line with the given properties.Slope = - ; line passes through the point (4, 5)

A. y - 5 = - (x - 4)
B. y - 5 = - (x + 4)
C. y - 5 = (x - 4)
D. y + 5 = - (x + 4)

Mathematics

Sketch the coordinate axes and then include the vectors u, v, and u × v as vectors starting at the origin.u = i + k,  v = i - k

What will be an ideal response?

Mathematics

Collect like terms.10x - 6y + 8 - 26x - 4 - 2y

A. 16x - 4y + 4 B. -16x - 8y + 4 C. -16x - 4y + 4 D. 16x - 8y + 4

Mathematics