Question: In a certain piston engine, the distance x(in centimeters) from the center of the drive shaft to the head of the piston is given by

In a certain piston engine, the distance x(in centimeters) from the center of the drive shaft to the head of the piston is given by the function

x(theta) = cos(theta) + sqrt(16 + 0.5cos(2theta))

where theta is the angle in degrees between the crank and the path of the piston head. Find x when theta = 30 and when theta = 45.Round answer to the nearest one thousandth centimeter.

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