## Quiz 9 :

Parametric Equations and Polar Coordinates

Question Type

All

The graph of the following curve is given. Find the area that it encloses.

Free

Multiple Choice

Answer:

Answer:

D

Choose question tag

Find the area of the region that lies inside the first curve and outside the second curve.

Free

Multiple Choice

Answer:

Answer:

E

Choose question tag

Consider the polar equation .(a) Find the eccentricity and an equation of the directrix of the conic.(b) Identify the conic.(c) Sketch the curve.

Free

Short Answer

Answer:

Answer:

(a) eccentricity: 2, directrix: (b) hyperbola

(c)

Choose question tag

Choose question tag

The orbit of Hale-Bopp comet, discovered in 1995, is an ellipse with eccentricity and one focus at the Sun. The length of its major axis is AU. [An astronomical unit (AU) is the mean distance between Earth and the Sun, about 93 million miles.] Find the maximum distance from the comet to the Sun. (The perihelion distance from a planet to the Sun is and the aphelion distance is .) Find the answer in AU and round to the nearest hundredth.

Multiple Choice

Answer:

Choose question tag

Write a polar equation of the conic that has a focus at the origin, eccentricity , and directrix . Identify the conic.

Multiple Choice

Answer:

Choose question tag

The planet Mercury travels in an elliptical orbit with eccentricity . Its minimum distance from the Sun is km. If the perihelion distance from a planet to the Sun is and the aphelion distance is , find the maximum distance (in km) from Mercury to the Sun.

Multiple Choice

Answer:

Choose question tag

Find a polar equation for the curve represented by the given Cartesian equation.

Multiple Choice

Answer:

Choose question tag

Write a polar equation in r and of an ellipse with the focus at the origin, with the eccentricity and directrix .

Multiple Choice

Answer:

Choose question tag

Consider the polar equation .(a) Find the eccentricity and an equation of the directrix of the conic.(b) Identify the conic.(c) Sketch the curve.

Short Answer

Answer:

Choose question tag

Choose question tag

Choose question tag

Write a polar equation in r and of a hyperbola with the focus at the origin, with the eccentricity and directrix .

Multiple Choice

Answer:

Choose question tag

Choose question tag

Choose question tag

Choose question tag

Write a polar equation in r and of an ellipse with the focus at the origin, with the eccentricity and vertex at .

Multiple Choice

Answer:

Choose question tag

Choose question tag

Find the polar equation for the curve represented by the given Cartesian equation.

Multiple Choice

Answer:

Choose question tag

Find a Cartesian equation for the curve described by the given polar equation.

Short Answer

Answer:

Choose question tag