Chapter 10 Review
1.Know how to analyze and graph, circles, ellipses, hyperbolas and parabolas.
Analyze and graph.
a.
b.
2. Go the other way.
Write the equation and graph.
a. The center of an ellipse is at (1, 2) focus is at (1, 4). Contains the point (2, 2).
b. There are vertices of a hyperbola at (-4, 4) and (-4, 2) and focus at (-4, 0).
Solve word problems involving Parabolas, Ellipses and Hyperbolas
c. Two recording devices are set 2400 feet apart with the device at point A to the west of the device at point B. At a point between the devices, 300 feet from point B, a small amount of explosive is detonated. The recording devices record the amount of time the sound reaches each. How far directly north of point B should a second explosion be done so that the measured time difference recorded by the devices is the same as that for the first detonation?
3.Be able to convert from general form and put it in standard form by completing the square.
x2 + 3y2 – 6x - 12y + 9 = 0
4.Be able to identify the conics without completing the square.
a.- 8x2 - y = - y2 + 2x
b.6x2 + 15y2 + 5 = 0
c. -5x2 + 11xy + 6y2 - 11x - 3y + 15 = 0
5.Find the equation without the xy-term that rotates the axes. Then analyze the conic and graph.
16x2 + 24xy + 9y2 – 60x + 80y = 0 (Do not have to do this 2014)
6.Analyze and graph conics in a polar equations.
a.
b. r(2 – cosθ) = 2
7.Convert to rectangular form.
8. Graph the curve whose parametric equations are given and show its orientation. Find the rectangular equation for the curve.
x=3t-2,
Be able to solve application problems using parametric equations.
See worksheets, powerpoint 10-7, and book for extra problems.
Answers