(2) Given the parametrization $c(t) = (sin^3 \theta, cos \theta)$, find $\frac{dy}{dx}$ at the point $t = \frac{\pi}{4}$.
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The derivative of sin(t) with respect to t is cos(t). The derivative of cos(t) with respect to t is -sin(t). Now, let's evaluate these derivatives at t = 0. cos(0) = 1 -sin(0) = 0 Show more…
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