Consider the polar curve for .

MATHEMATICS · Multi-part · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Consider the polar curve r=4cos⁡θr=4\cos\theta for 0≤θ≤π0\le \theta\le \pi. (1) Calculate dydx\dfrac{dy}{dx} at the point corresponding to θ=π3\theta=\dfrac\pi3. Show all work leading to your result. (2) Write the equation of the tangent line to the curve at the point found in part (a) in rectangular coordinates.

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