Exam 10: Parametric and Polar Curves; Conic Sections

Determine the rotation angle that will eliminate the xy-term.

Find the arclength of the curve .

State the name that describes the polar curve most precisely.

The area of the region bounded by the curve from is

For the parametric curve: x = 3 cos t, y = 3 sin t, eliminate the parameter and express in rectangular form.

Which equation below most closely represents the graph shown.

Find the area of the region common to and .

Find the eccentricity of the conic described by .

Sketch the curve in polar coordinates.

Express the given curve in polar coordinates.

Sketch the parabola 9y² = 24x - 48 showing the focus, vertex and directrix.

Find the area of the inner loop of the limacon .

Find the equation of the parabola with vertex at the origin and directrix x =

The directrix of the conic described by is how many units to the right of the pole?

Find the area bounded by .

Find the equation of the ellipse with a major axis length of , a minor axis length of , center at , and foci on .

For the parametric curve: x = 3 + 4 cos pt, y = 3 + 5 sin pt, eliminate the parameter and express in rectangular form.

Find the distance from the pole to the vertex of the conic described.

Rotate the coordinates to remove the xy-term. Then, name the conic.

Sketch the curve in polar coordinates.