Describe the distance of point P from the far left or right of the center of the wheel as a function of the angle of the rotation. Assume that the wheel is rotating counterclockwise and the angle of rotation,theta, is the angle between the horizontal ray through the center of the wheel directed to the right and the radius CP. Find x. image:

Question

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x z

a. Describe the horizontal distance from the point P on the wheel to the stirrer blade as a function of the angle of rotation. Find z.

b. How far is the stirrer blade from the center of the wheel for each angle of rotation? Write a function for the distance in terms of the angle.