Mathematics

Mathematics

Problem

For a differentiable polar curve described by r=f(θ)r=f(\theta), which of the following expressions is equal to dydx\dfrac{dy}{dx} in terms of derivatives with respect to θ\theta? a) \displaystyle \frac{dr}{d\theta}\sin\theta + r\cos\theta b) \displaystyle \frac{\dfrac{dx}{d\theta}}{\dfrac{dy}{d\theta}} c) \displaystyle \frac{\dfrac{dy}{d\theta}}{\dfrac{dx}{d\theta}} d) \displaystyle \frac{\dfrac{dr}{d\theta}\sin\theta}{\dfrac{dr}{d\theta}\cos\theta}

Browse the problem library