# A road is shaped in the shape of the cardoid r=1000(1+cos(theta)) (polar coordinate form of the curve), where r is in meters. When a car is traveling on the road at the point represented by theta = Pi/6, the car is traveling at a speed of 30 meters per second. Determine dtheta/dt. The car is traveling counter-clockwise along the road.

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A road is shaped in the shape of the cardoid r=1000(1+cos(theta)) (polar coordinate form of the curve), where r is in meters. When a car is traveling on the road at the point represented by theta = Pi/6, the car is traveling at a speed of 30 meters per second. Determine dtheta/dt. The car is traveling counter-clockwise along the road.

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Step 1

Given,

Step 2

Differentiate equation (1) with r...

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