91影视

Describe the graph of each polar equation. Confirm each description by converting into a rectangular equation. $$ r=3 $$

For the following exercises, find \(d^{2} y / d x^{2}$$x=\sin (\pi t), \quad y=\cos (\pi t)\)

Find the length of the curve over the given interval.\(r=1-\sin \theta\) on the interval \(0 \leq \theta \leq 2 \pi\)

The pairs of parametric equations represent lines, parabolas, circles, ellipses, or hyperbolas. Name the type of basic curve that each pair of equations represents. $$ \begin{aligned} &x=2 t+1 \\ &y=t^{2}-3 \end{aligned} $$

For the following exercises, determine the equation of the hyperbola using the information given. Foci located at \((6,-0),(6,0)\) and eccentricity of 3

Describe the graph of each polar equation. Confirm each description by converting into a rectangular equation. $$ \theta=\frac{\pi}{4} $$

The pairs of parametric equations represent lines, parabolas, circles, ellipses, or hyperbolas. Name the type of basic curve that each pair of equations represents. $$ \begin{aligned} &x=3 \cos t \\ &y=3 \sin t \end{aligned} $$

For the following exercises, determine the equation of the hyperbola using the information given. \((0,10),(0,-10)\) and eccentricity of \(2.5\)

For the following exercises, find \(d^{2} y / d x^{2}$$x=e^{-t}, y=t e^{2 t}\)

Use the integration capabilities of a calculator to approximate the length of the curve.[T] \(r=3 \theta\) on the interval \(0 \leq \theta \leq \frac{\pi}{2}\)