Establish the identity.cos(3x) = cos3 x - 3 sin2 x cos x
What will be an ideal response?
cos(3x) = cos(2x + x) = cos(2x) cos x - sin(2x) sin x = (cos2 x - sin2 x) cos x - 2 sin x cos x sin x = 
- sin2 x cos x - 2 sin2 x cos x = cos3 x - 3 sin2 x cos x.
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Find the angle.sin-1 
A. 
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For the given exponential function, find a) the average rate of change for the interval [3, 5] and b) the interval [3.5, 4.5], as well as c) the rate of change at x = 4. Round all calculations to the nearest hundredth. f(x) = ex - 3 - 5
A. a) 3.58 b) 2.96 c) 2.72 B. a) 2.72 b) 2.83 c) 3.19 C. a) 3.19 b) 2.83 c) 2.72 D. a) 2.72 b) 2.96 c) 3.58
Factor the sum or difference of cubes.x5 - 64x2
A. (x - 4)(x2 + 4x + 16) B. x2(x - 4)(x2 + 4x + 16) C. x2(x + 4)(x2 - 4x - 16) D. x3(x + 4)(x2 - 4x + 16)
Solve the initial value problem.
= cos t - sin t, s
= 12
A. s = sin t - cos t + 11 B. s = 2sin t + 10 C. s = sin t + cos t + 13 D. s = sin t + cos t + 11