Question

For the curve defined by the parametric equations x = 10sin(2t), y = 16cos(2t), with 0 ≤ t ≤ π, evaluate dy/dx at the point (5√3, 8)

Answer 1

Use the chain rule.

Answer 2

\[
\frac{dy}{dt} =\frac{dy}{dx}\frac{dx}{dt}
\]

Answer 3

\[\frac{ dy }{ dx } = \frac{ \frac{ dy }{ dt } }{ \frac{ dx }{ dt } }\]

Answer 4

First Find dy/dt..... then dx/dt....and Divide them