Parametric Equations - Tangent Practice Problems Online

Consider the polar curve $r\theta = 6$ . What is the slope of the tangent line of the polar curve at $\theta = \pi$ ?

Given the curve $x=1-2t, y=5-4t+2t^2,$ what is the equation of the tangent line to the curve at $x=5 ?$

For the curve given by $x=\frac{9t}{1+t^2}, y=\frac{1-t^2}{1+t^2},$ what is the equation of the tangent line to the curve for $t=2 ?$

\displaystyle{ y=\frac{8}{27}x-\frac{5}{3}}

\displaystyle{ y=\frac{4}{27}x-\frac{5}{3}}

\displaystyle{ y=\frac{8}{27}x+\frac{5}{3}}

\displaystyle{ y=\frac{4}{27}x+\frac{5}{3}}

Consider the polar curve $r = 22 \sin \theta$ . What is the slope of the tangent line at $\theta = \frac{\pi}{6}$ ?

A curve is defined by $(x,y) =\left(\cos^3 \theta, \sin^3 \theta \right)$ . If the equation for the tangent line at $\theta=\frac{2}{3}\pi$ is $y=ax+b$ , what is the value of $a \times b$ ?

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Parametric Equations - Tangent

Calculus of Parametric Equations

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Parametric Equations - Tangent