Consider the function f(x) = 2sin(3x) + 4cos(2x) for x in radians. Find the amplitude, period, phase
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Question:
Consider the function f(x) = 2sin(3x) + 4cos(2x) for x in radians. Find the amplitude, period, phase shift, and vertical shift of the function.
Part B: Given the points (0,1), (pi/6, sqrt(3)/2), and (pi/3, 1/2), find the equation of the quadratic function that passes through these points and has a leading coefficient of 2.
Part C: A Ferris wheel has a diameter of 60 meters and is elevated 40 meters above the ground. The wheel takes 5 minutes to make one revolution. Suppose you are standing on the ground watching the wheel, and your line of sight to the top of the wheel makes an angle of 60 degrees with the ground. How fast is the Ferris wheel moving at this point?
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