# Calculus Early Transcendentals

Mathematics

## Quiz 9 :Parametric Equations and Polar Coordinates

Question Type
The graph of the following curve is given. Find the area that it encloses.
Free
Multiple Choice

D

Tags
Choose question tag
Find the area of the region that lies inside the first curve and outside the second curve.
Free
Multiple Choice

E

Tags
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

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

Tags
Choose question tag
Find the area that the curve encloses.
Tags
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
Tags
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
Tags
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
Tags
Choose question tag
Find a polar equation for the curve represented by the given Cartesian equation.
Multiple Choice
Tags
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
Tags
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.
Tags
Choose question tag
Find the area enclosed by the curve .
Tags
Choose question tag
Find the length of the polar curve.
Multiple Choice
Tags
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
Tags
Choose question tag
Find the area of the region enclosed by one loop of the curve.
Multiple Choice
Tags
Choose question tag
Find the Cartesian coordinates of the point .
Multiple Choice
Tags
Choose question tag
Find the eccentricity of the conic.
Multiple Choice
Tags
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
Tags
Choose question tag
Sketch the polar curve with the given equation.
Multiple Choice
Tags
Choose question tag
Find the polar equation for the curve represented by the given Cartesian equation.
Multiple Choice
Tags
Choose question tag
Find a Cartesian equation for the curve described by the given polar equation.