Answer the question.To complete the square of 2x2 + 4x = 8, is it ever a good idea to divide by the coefficient of x2?
What will be an ideal response?
Yes. In order to complete the square, the coefficient of the second-degree term must be 1.
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Use the method of variation of parameters to solve the differential equation.y'' + y = sec x tan x
A. y = C1 cos x + C2 sin x - sin x(x + tan x) + sin x ln|csc x| B. y = C1 cos x + C2 sin x + sin x(x - tan x) + cos x ln|sec x| C. y = C1 cos x + C2 sin x + cos x(x - tan x) + sin x ln|sec x| D. y = C1 cos x + C2 sin x + cos x(x - tan x) + cos x ln|sec x|
Find the required quantity given the wire that lies along the curve r and has density ?.Moment of inertia Iz about the z-axis, where r(t) = (6 sin 2t)i + (6 cos 2t)j + e3tk, 0 ? t ? 1;
A. Iz = 4(e6 - 1)
B. Iz =
C. Iz =
D. Iz = [(144 + 9e6)3/2 - (144 + 9)3/2 ]
Find the potential function f for the field F.F = sec2 x sin2 yi + 2 tan x sin y cos yj + 9z8k
A. f(x, y, z) = sec x sin2 y + z9 + C B. f(x, y, z) = sec x sin2 y + z + C C. f(x, y, z) = -sec x sin2 y + z9 + C D. f(x, y, z) = tan x sin2 y + z9 + C
A pair of similar triangles is shown. Find the measure of the segment marked with the letter x.
A. x = 20 B. x = 16 C. x = 15 D. x = 5