Find the equation of the parabola with focus (5, 0) and directrixx = -5. а. b. x' = 20y c. y' = 20x d. x' = -20y e. y' = -20x

Calculus: Early Transcendentals
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Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. Find the equation of the parabola with focus (5, 0) and directrix x
= -5.
а.
b. x' = 20y
с. у' %3 20х
d. x' = -20y
e. y' = -20x
2. Find the equation of the parabola with focus (2, 0) and directrix x
= -2.
а.
b. x' = 8y
c. y = 8x
d. x' = -8y
e. y' = -8x
3. Write the standard equation for the ellipse with the following
conditions:
Foci: (0, 2) and (0, 8)
Vertices: (0, 0) and (0, 10)
а.
b.
с.
d.
е.
4. Write the standard equation for the hyperbola with the following
conditions:
Vertices: (-2, -3) and (6, -3)
foci: (-4, -3) and (8, -3)
f.
a.
b.
c.
d.
Transcribed Image Text:1. Find the equation of the parabola with focus (5, 0) and directrix x = -5. а. b. x' = 20y с. у' %3 20х d. x' = -20y e. y' = -20x 2. Find the equation of the parabola with focus (2, 0) and directrix x = -2. а. b. x' = 8y c. y = 8x d. x' = -8y e. y' = -8x 3. Write the standard equation for the ellipse with the following conditions: Foci: (0, 2) and (0, 8) Vertices: (0, 0) and (0, 10) а. b. с. d. е. 4. Write the standard equation for the hyperbola with the following conditions: Vertices: (-2, -3) and (6, -3) foci: (-4, -3) and (8, -3) f. a. b. c. d.
5. What is the general form of an ellipse with foci at (0, ±2), and
vertices at (0, ±4)?
2x' + 4y = 0
4x + 3y = 48
8x + 6y = 24
16x + 12y = 1
а.
b.
с.
d.
6. The foci of an ellipse are located at (4, 0) and (-4, 0). The sum of
the distances from any point on the ellipse to the foci is 10.
Determine the equation of the ellipse. (Hint: half of 10 will give
you the vertices, a)
а.
b.
с.
d.
7. The foci of an ellipse are located at (0, 6) and (0, -6). The sum of
the distances from any point on the ellipse to the foci is 20.
Determine the equation of the ellipse.
е.
а.
b.
d.
8. The foci of a hyperbola are located at and . The differences of the
distances from any point on the hyperbola to the foci is 6.
Determine the equation of the hyperbola.
а.
b.
с.
d.
9. Use the information provided to write the standard form equation
of the following ellipse.
Vertices: (15, –10), (-15, –10)
Foci: (6V6, –10). (-6v6, –10)
* G+ 10)
= 1
9.
а.
b. x- 10)
9.
225
36
d.
G+ 10)²
2 u+10)²
с.
10
000
000
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Transcribed Image Text:5. What is the general form of an ellipse with foci at (0, ±2), and vertices at (0, ±4)? 2x' + 4y = 0 4x + 3y = 48 8x + 6y = 24 16x + 12y = 1 а. b. с. d. 6. The foci of an ellipse are located at (4, 0) and (-4, 0). The sum of the distances from any point on the ellipse to the foci is 10. Determine the equation of the ellipse. (Hint: half of 10 will give you the vertices, a) а. b. с. d. 7. The foci of an ellipse are located at (0, 6) and (0, -6). The sum of the distances from any point on the ellipse to the foci is 20. Determine the equation of the ellipse. е. а. b. d. 8. The foci of a hyperbola are located at and . The differences of the distances from any point on the hyperbola to the foci is 6. Determine the equation of the hyperbola. а. b. с. d. 9. Use the information provided to write the standard form equation of the following ellipse. Vertices: (15, –10), (-15, –10) Foci: (6V6, –10). (-6v6, –10) * G+ 10) = 1 9. а. b. x- 10) 9. 225 36 d. G+ 10)² 2 u+10)² с. 10 000 000 Dashboard Calendar To Do Notifications Inbox
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