Chapter 6 Post Test

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Chapter 6 Post Test

Find the inclination

(in degrees) of the line with a slope of

. Round your answer to one decimal places.

a.
b.
c.
d.
e.

Find the inclination

(in degrees) of the line with a slope of

. Round your answer to one decimal places.

a.
b.
c.
d.
e.

Find the standard form of the equation of the parabola with the given characteristics.

Vertex:

; directrix:

a.
b.
c.
d.
e.

The revenue R (in dollars) generated by the sale of x units of a patio furniture set is given by

.
Select the correct graph of the function.

a.		d.
b.		e.
c.	.

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin.

Vertices:

; Foci:

a.
b.
c.
d.
e.

Find the vertices of the conic.

a.	Vertices:
b.	Vertices:
c.	Vertices:
d.	Vertices:
e.	Vertices:

An elliptical stained-glass insert is to be fitted in a

rectangular opening (see figure). Using the coordinate system shown, find an equation for the ellipse.

a.
b.
c.
d.
e.

Find the center, vertices and foci of the hyperbola.

a.	Center: Vertices: Foci:,
b.	Center: Vertices: Foci: )
c.	Center: Vertices: Foci:,
d.	Center: Vertices: Foci:,
e.	Center: Vertices: Foci:,

Find the standard form of the equation of the hyperbola with the given characteristics.

Vertices: (4,0),(8,0); foci: (0,0), (10,0)

a.
b.
c.
d.
e.

10.

Select the graph of the equation as a circle, a parabola, an ellipse, or a hyperbola.

a.	Parabola
b.	Circle
c.	Hyperbola
d.	Ellipse
e.	None of the above

11.

Rotate the axes to eliminate the xy-term in the equation. Then write the equation in standard form.

a.
b.
c.
d.
e.

12.

Use the Quadratic Formula to solve for

a.
b.
c.
d.
e.

13.

Consider the equation.

Without calculating, explain how to rewrite the equation so that it does not have an

-term.

a.	To rewrite the equation so that it does not have an -term, you can solve for in terms of by completing the square or using the Quadratic Formula.
b.	To rewrite the equation so that it does not have an -term, you can solve for in terms of by completing the square or using the Quadratic Formula.
c.	To rewrite the equation so that it has an -term, you can solve for in terms of by taking square root or using the Quadratic Formula.
d.	To rewrite the equation so that it has an -term, you can solve for in terms of by completing the square or using the Quadratic Formula.
e.	To rewrite the equation so that it has an -term, you can solve for in terms of by completing the square or using the Quadratic Formula.

14.

A point (a,b) shown in below graph in polar coordinates is given. Convert the point to rectangular coordinates.

a.
b.
c.
d.
e.

15.

A point in rectangular coordinates is given. Convert the point to polar coordinates.

a.
b.
c.
d.
e.

16.

Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.

a.	Symmetric with respect to , polar axis, pole Circle with radius	d.	Symmetric with respect to , polar axis, pole Circle with radius
b.	Symmetric with respect to , polar axis, pole Circle with radius	e.	Symmetric with respect to , polar axis, pole Circle with radius
c.	Symmetric with respect to , polar axis, pole Circle with radius

17.

Select the graph of the polar equation using symmetry, zeros, maximum r-values, and any other additional points.

a.	Symmetric with respect to	d.	Symmetric with respect to
b.	Symmetric with respect to	e.	Symmetric with respect to
c.	Symmetric with respect to

18.

Select the correct graph of the polar equation. Find an interval for

for which the graph is traced only once.

a.		d.
b.		e.
c.

19.

Find a polar equation of the conic with its focus at the pole.

a.
b.
c.
d.
e.

20.

The comet Hale-Bopp has an elliptical orbit with an eccentricity of

.The length of the major axis of the orbit is approximately 504 astronomical units. Find a polar equation for the orbit. How close does the comet come to the sun?

a.	Closest point to the sun is 2.016 astronomical unit.
b.	Closest point to the sun is 2.016 astronomical unit.
c.	Closest point to the sun is 2.016 astronomical unit.
d.	Closest point to the sun is 2.016 astronomical unit.
e.	Closest point to the sun is 2.016 astronomical unit.