Mathematics

Mathematics

Problem

For the polar curve r=1+2cos⁡θr=1+2\cos\theta, determine the value of dydx\dfrac{dy}{dx} at θ=π3\theta=\dfrac{\pi}{3}. a) 3\sqrt{3} b) 39\displaystyle \frac{\sqrt{3}}{9} c) −39-\dfrac{\sqrt{3}}{9} d) −33-\dfrac{\sqrt{3}}{3}

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