ALEKS AC COLLEGE ALGB & TRIG
1st Edition
ISBN: 9781264345014
Author: Miller
Publisher: MCG
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Textbook Question
Chapter 11.3, Problem 61PE
For Exercises 61—68 determine the standard form of an equation of the parabola subject to the given conditions. (See Example 6)
Vertex: (0, 0); Directrix x=4
Expert Solution & Answer
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Check out a sample textbook solutionStudents have asked these similar questions
In Exercises 11–16, find the vertex, focus, and directrix of the parabola, and sketch its graph.
In Exercises 3–10, describe the curve represented by each equation.
Identify the type of curve and its center (or vertex if it is a parabola).
Sketch each curve.
In Exercises 5–12, find the standard form of the equation of each
hyperbola satisfying the given conditions.
5. Foci: (0, –3), (0, 3); vertices: (0, –1), (0, 1)
6. Foci: (0, –6), (0, 6); vertices: (0, -2), (0, 2)
7. Foci: (-4, 0), (4, 0); vertices: (-3, 0), (3,0)
8. Foci: (-7, 0), (7, 0); vertices: (-5, 0), (5,0)
9. Endpoints of transverse axis: (0, -6), (0, 6); asymptote:
y = 2x
10. Endpoints of transverse axis: (-4,0), (4, 0); asymptote:
y = 2r
11. Center: (4, -2); Focus: (7, -2); vertex: (6, -2)
12. Center: (-2, 1); Focus: (-2, 6); vertex: (-2, 4)
Chapter 11 Solutions
ALEKS AC COLLEGE ALGB & TRIG
Ch. 11.1 - Prob. R.1PECh. 11.1 - Prob. R.2PECh. 11.1 - Prob. R.3PECh. 11.1 - For Exercises R.4-R.5, find the value of n so that...Ch. 11.1 - Prob. R.5PECh. 11.1 - Prob. R.6PECh. 11.1 - The circle, the eclipse, the hyperbola, and the...Ch. 11.1 - Prob. 2PECh. 11.1 - Prob. 3PECh. 11.1 - Prob. 4PE
Ch. 11.1 - Prob. 5PECh. 11.1 - Prob. 6PECh. 11.1 - Prob. 7PECh. 11.1 - Prob. 8PECh. 11.1 - Objective 1: Graph an Eclipse Centered at the...Ch. 11.1 - Prob. 10PECh. 11.1 - For Exercises 11—12, from the equation of the...Ch. 11.1 - For Exercises 11—12, from the equation of the...Ch. 11.1 - For Exercises 13—22, Identify the center of the...Ch. 11.1 - Prob. 14PECh. 11.1 - Prob. 15PECh. 11.1 - For Exercises 13—22, Identify the center of the...Ch. 11.1 - For Exercises 13—22, Identify the center of the...Ch. 11.1 - Prob. 18PECh. 11.1 - For Exercises 13—22, Identify the center of the...Ch. 11.1 - Prob. 20PECh. 11.1 - Prob. 21PECh. 11.1 - Prob. 22PECh. 11.1 - For Exercises 23—32, Identify the center of the...Ch. 11.1 - Prob. 24PECh. 11.1 - Prob. 25PECh. 11.1 - Prob. 26PECh. 11.1 - For Exercises 23—32, Identify the center of the...Ch. 11.1 - Prob. 28PECh. 11.1 - Prob. 29PECh. 11.1 - Prob. 30PECh. 11.1 - For Exercises 23—32, Identify the center of the...Ch. 11.1 - Prob. 32PECh. 11.1 - For Exercises 33—42, a. Write the equation of the...Ch. 11.1 - Prob. 34PECh. 11.1 - Prob. 35PECh. 11.1 - Prob. 36PECh. 11.1 - For Exercises 33—42, a. Write the equation of the...Ch. 11.1 - For Exercises 33—42, a. Write the equation of the...Ch. 11.1 - Prob. 39PECh. 11.1 - Prob. 40PECh. 11.1 - Prob. 41PECh. 11.1 - Prob. 42PECh. 11.1 - Prob. 43PECh. 11.1 - Prob. 44PECh. 11.1 - For Exercises 43—56, write the standard form of a...Ch. 11.1 - Prob. 46PECh. 11.1 - For Exercises 43—56 write the standard form of an...Ch. 11.1 - Prob. 48PECh. 11.1 - For Exercises 43—56 write the standard form of an...Ch. 11.1 - Prob. 50PECh. 11.1 - Prob. 51PECh. 11.1 - For Exercises 43—56, write the standard form of an...Ch. 11.1 - Prob. 53PECh. 11.1 - Prob. 54PECh. 11.1 - Prob. 55PECh. 11.1 - Prob. 56PECh. 11.1 - The reflective property of an ellipse is used in...Ch. 11.1 - Prob. 58PECh. 11.1 - Prob. 59PECh. 11.1 - Prob. 60PECh. 11.1 - Prob. 61PECh. 11.1 - Prob. 62PECh. 11.1 - Prob. 63PECh. 11.1 - Prob. 64PECh. 11.1 - Prob. 65PECh. 11.1 - Prob. 66PECh. 11.1 - For Exercise 67-72, determine the eccentricity of...Ch. 11.1 - Prob. 68PECh. 11.1 - Prob. 69PECh. 11.1 - Prob. 70PECh. 11.1 - For Exercises 67—72 determine the eccentricity of...Ch. 11.1 - Prob. 72PECh. 11.1 - Halley’s Comet and the Earth both orbit the Sun in...Ch. 11.1 - Halley’s Comet and the comet Hale-Boop’s both...Ch. 11.1 - The moon’s around the Earth is elliptical with the...Ch. 11.1 - Prob. 76PECh. 11.1 - Prob. 77PECh. 11.1 - Prob. 78PECh. 11.1 - Prob. 79PECh. 11.1 - Prob. 80PECh. 11.1 - Prob. 81PECh. 11.1 - Prob. 82PECh. 11.1 - Prob. 83PECh. 11.1 - A cylindrical glass of water with diameter 3.5 in...Ch. 11.1 - The graph of x29+y24=1 = represents an ellipse....Ch. 11.1 - Prob. 86PECh. 11.1 - Prob. 87PECh. 11.1 - Prob. 88PECh. 11.1 - Prob. 89PECh. 11.1 - Prob. 90PECh. 11.1 - Prob. 91PECh. 11.1 - Prob. 92PECh. 11.1 - Prob. 93PECh. 11.1 - Prob. 94PECh. 11.1 - Prob. 95PECh. 11.1 - Prob. 96PECh. 11.1 - Prob. 97PECh. 11.1 - Prob. 98PECh. 11.1 - Prob. 99PECh. 11.1 - Prob. 100PECh. 11.1 - Prob. 101PECh. 11.1 - Prob. 102PECh. 11.1 - Prob. 103PECh. 11.1 - Prob. 104PECh. 11.1 - Prob. 105PECh. 11.2 - Use the distance formula to find the distance...Ch. 11.2 - Prob. R.2PECh. 11.2 - Prob. R.3PECh. 11.2 - Prob. 1PECh. 11.2 - Prob. 2PECh. 11.2 - Prob. 3PECh. 11.2 - Prob. 4PECh. 11.2 - Prob. 5PECh. 11.2 - Prob. 6PECh. 11.2 - Prob. 7PECh. 11.2 - Prob. 8PECh. 11.2 - For Exercises 9—12 determine whether the...Ch. 11.2 - Prob. 10PECh. 11.2 - For Exercises 9-12, determine whether the...Ch. 11.2 - Prob. 12PECh. 11.2 - Prob. 13PECh. 11.2 - Prob. 14PECh. 11.2 - For Exercises 13—22, Identify the center. Identify...Ch. 11.2 - For Exercises 13-22, Identify the center. Identify...Ch. 11.2 - For Exercises 13—22, Identify the center. Identify...Ch. 11.2 - For Exercises 13—22, Identify the center. Identify...Ch. 11.2 - Prob. 19PECh. 11.2 - Prob. 20PECh. 11.2 - Prob. 21PECh. 11.2 - Prob. 22PECh. 11.2 - Prob. 23PECh. 11.2 - Prob. 24PECh. 11.2 - Prob. 25PECh. 11.2 - Prob. 26PECh. 11.2 - Objective 2: Graph a Hyperbola Centered at (h, k)...Ch. 11.2 - Prob. 28PECh. 11.2 - Prob. 29PECh. 11.2 - Prob. 30PECh. 11.2 - Prob. 31PECh. 11.2 - Prob. 32PECh. 11.2 - For Exercises 33—40, a. Write the equation of the...Ch. 11.2 - Prob. 34PECh. 11.2 - Prob. 35PECh. 11.2 - Prob. 36PECh. 11.2 - For Exercises 33—40, a. Write the equation of the...Ch. 11.2 - For Exercises 33—40, a. Write the equation of the...Ch. 11.2 - For Exercises 33—40, a. Write the equation of the...Ch. 11.2 - For Exercises 33-40, a. Write the equation of the...Ch. 11.2 - From Exercise 41-50 , write the standart form of...Ch. 11.2 - From Exercise 41-50 , write the standart form of...Ch. 11.2 - Prob. 43PECh. 11.2 - Prob. 44PECh. 11.2 - Prob. 45PECh. 11.2 - Prob. 46PECh. 11.2 - From Exercise 41-50 , write the standart form of...Ch. 11.2 - Prob. 48PECh. 11.2 - Prob. 49PECh. 11.2 - Prob. 50PECh. 11.2 - Prob. 51PECh. 11.2 - Prob. 52PECh. 11.2 - Prob. 53PECh. 11.2 - Prob. 54PECh. 11.2 - Prob. 55PECh. 11.2 - Prob. 56PECh. 11.2 - Determine the standard of an equation of a...Ch. 11.2 - Prob. 58PECh. 11.2 - Two radio transmitters are 1000 mi apart at points...Ch. 11.2 - Prob. 60PECh. 11.2 - In some design of eyeglasses , the surface is...Ch. 11.2 - Prob. 62PECh. 11.2 - Prob. 63PECh. 11.2 - Prob. 64PECh. 11.2 - Prob. 65PECh. 11.2 - Prob. 66PECh. 11.2 - Prob. 67PECh. 11.2 - Prob. 68PECh. 11.2 - Prob. 69PECh. 11.2 - Prob. 70PECh. 11.2 - For Exercises 71-74, find the standard form of the...Ch. 11.2 - Prob. 72PECh. 11.2 - For Exercises 71—74 find the standard form of the...Ch. 11.2 - Prob. 74PECh. 11.2 - Prob. 75PECh. 11.2 - For Exercise 75-76, solve the system of equations....Ch. 11.2 - Prob. 77PECh. 11.2 - Prob. 78PECh. 11.2 - Prob. 79PECh. 11.2 - Prob. 80PECh. 11.2 - Prob. 81PECh. 11.2 - Prob. 82PECh. 11.2 - Prob. 83PECh. 11.2 - Prob. 84PECh. 11.2 - Prob. 85PECh. 11.2 - Prob. 86PECh. 11.2 - Prob. 87PECh. 11.2 - Prob. 88PECh. 11.3 - Use the distance formula to find the distance...Ch. 11.3 - Prob. R.2PECh. 11.3 - Prob. R.3PECh. 11.3 - Prob. 1PECh. 11.3 - Prob. 2PECh. 11.3 - Prob. 3PECh. 11.3 - Prob. 4PECh. 11.3 - Prob. 5PECh. 11.3 - Prob. 6PECh. 11.3 - Prob. 7PECh. 11.3 - Prob. 8PECh. 11.3 - Prob. 9PECh. 11.3 - Prob. 10PECh. 11.3 - Prob. 11PECh. 11.3 - Prob. 12PECh. 11.3 - Prob. 13PECh. 11.3 - Prob. 14PECh. 11.3 - For Exercises 15—22, a model of the form x2=4py or...Ch. 11.3 - Prob. 16PECh. 11.3 - Prob. 17PECh. 11.3 - Prob. 18PECh. 11.3 - Prob. 19PECh. 11.3 - Prob. 20PECh. 11.3 - For Exercises 15—22, a model of the form x2=4py or...Ch. 11.3 - For Exercises 15—22, a model of the form x2=4py or...Ch. 11.3 - A20-in satellite dish for a television has...Ch. 11.3 - Prob. 24PECh. 11.3 - Prob. 25PECh. 11.3 - Prob. 26PECh. 11.3 - Prob. 27PECh. 11.3 - Prob. 28PECh. 11.3 - Prob. 29PECh. 11.3 - Prob. 30PECh. 11.3 - Prob. 31PECh. 11.3 - Prob. 32PECh. 11.3 - Prob. 33PECh. 11.3 - Prob. 34PECh. 11.3 - Prob. 35PECh. 11.3 - Prob. 36PECh. 11.3 - For Exercises 27—34, an equation of a parabola...Ch. 11.3 - For Exercises 27—34, an equation of a parabola...Ch. 11.3 - Prob. 39PECh. 11.3 - Prob. 40PECh. 11.3 - Prob. 41PECh. 11.3 - Prob. 42PECh. 11.3 - Prob. 43PECh. 11.3 - Prob. 44PECh. 11.3 - For Exercises 45—52, an equation of a parabola is...Ch. 11.3 - Prob. 46PECh. 11.3 - For Exercises 45—52, an equation of a parabola is...Ch. 11.3 - Prob. 48PECh. 11.3 - Prob. 49PECh. 11.3 - Prob. 50PECh. 11.3 - Prob. 51PECh. 11.3 - For Exercises 45—52, an equation of a parabola is...Ch. 11.3 - Prob. 53PECh. 11.3 - Prob. 54PECh. 11.3 - Prob. 55PECh. 11.3 - Prob. 56PECh. 11.3 - Prob. 57PECh. 11.3 - Prob. 58PECh. 11.3 - Prob. 59PECh. 11.3 - Prob. 60PECh. 11.3 - For Exercises 61—68 determine the standard form of...Ch. 11.3 - Prob. 62PECh. 11.3 - For Exercises 61-68, determine the standard form...Ch. 11.3 - Prob. 64PECh. 11.3 - Prob. 65PECh. 11.3 - Prob. 66PECh. 11.3 - Prob. 67PECh. 11.3 - Prob. 68PECh. 11.3 - Prob. 69PECh. 11.3 - Prob. 70PECh. 11.3 - The Hubble space telescope was launched into space...Ch. 11.3 - Prob. 72PECh. 11.3 - Prob. 73PECh. 11.3 - A parabolic mirror on a telescope has a focal...Ch. 11.3 - Prob. 75PECh. 11.3 - Prob. 76PECh. 11.3 - Prob. 77PECh. 11.3 - Prob. 78PECh. 11.3 - Prob. 79PECh. 11.3 - Prob. 80PECh. 11.3 - Prob. 81PECh. 11.3 - Prob. 82PECh. 11.3 - Prob. 83PECh. 11.3 - Prob. 84PECh. 11.3 - Prob. 85PECh. 11.3 - Prob. 86PECh. 11.4 - Given cos=1213 for 32< < 2 the exact values of the...Ch. 11.4 - Prob. R.2PECh. 11.4 - Prob. R.3PECh. 11.4 - Prob. R.4PECh. 11.4 - Solve for the indicated variable. v=2rq+r2q for rCh. 11.4 - Prob. R.6PECh. 11.4 - Prob. 1PECh. 11.4 - Suppose that the equation Ax2+Bxy+Cy2+Dx+Ey+F=0 =...Ch. 11.4 - Prob. 3PECh. 11.4 - Prob. 4PECh. 11.4 - Prob. 5PECh. 11.4 - Prob. 6PECh. 11.4 - Prob. 7PECh. 11.4 - Prob. 8PECh. 11.4 - For Exercises 9-14, assume that the x-and y-axes...Ch. 11.4 - For Exercises 9-14, assume that the x-and y-axes...Ch. 11.4 - For Exercises 9-14, assume that the x-and y-axes...Ch. 11.4 - For Exercises 9-14, assume that the x-and y-axes...Ch. 11.4 - Prob. 13PECh. 11.4 - Prob. 14PECh. 11.4 - Prob. 15PECh. 11.4 - Prob. 16PECh. 11.4 - Prob. 17PECh. 11.4 - Prob. 18PECh. 11.4 - Prob. 19PECh. 11.4 - Prob. 20PECh. 11.4 - Prob. 21PECh. 11.4 - Prob. 22PECh. 11.4 - Prob. 23PECh. 11.4 - Prob. 24PECh. 11.4 - Prob. 25PECh. 11.4 - Prob. 26PECh. 11.4 - Prob. 27PECh. 11.4 - Prob. 28PECh. 11.4 - Prob. 29PECh. 11.4 - Prob. 30PECh. 11.4 - Prob. 31PECh. 11.4 - Prob. 32PECh. 11.4 - Prob. 33PECh. 11.4 - Prob. 34PECh. 11.4 - Prob. 35PECh. 11.4 - Prob. 36PECh. 11.4 - Prob. 37PECh. 11.4 - Prob. 38PECh. 11.4 - Prob. 39PECh. 11.4 - Prob. 40PECh. 11.4 - For Exercises 35-42, the equation represents a...Ch. 11.4 - Prob. 42PECh. 11.4 - Prob. 43PECh. 11.4 - Prob. 44PECh. 11.4 - Prob. 45PECh. 11.4 - Prob. 46PECh. 11.4 - Prob. 47PECh. 11.4 - Prob. 48PECh. 11.4 - Prob. 49PECh. 11.4 - Prob. 50PECh. 11.4 - Prob. 51PECh. 11.4 - Prob. 52PECh. 11.4 - Prob. 53PECh. 11.4 - Discuss the graph of x28xy+y2=0Ch. 11.4 - Prob. 55PECh. 11.4 - Prob. 56PECh. 11.4 - Suppose that the x’ and y’ axes are formed by a...Ch. 11.4 - Prob. 58PECh. 11.4 - Prob. 59PECh. 11.4 - Prob. 60PECh. 11.4 - Prob. 61PECh. 11.4 - Prob. 62PECh. 11.4 - Prob. 63PECh. 11.4 - The set of points (x1,y1),(x2+xy).....(xn,xn) can...Ch. 11.5 - Prob. R.1PECh. 11.5 - Prob. R.2PECh. 11.5 - Prob. R.3PECh. 11.5 - Prob. R.4PECh. 11.5 - Prob. R.5PECh. 11.5 - Prob. 1PECh. 11.5 - Prob. 2PECh. 11.5 - Prob. 3PECh. 11.5 - Prob. 4PECh. 11.5 - Prob. 5PECh. 11.5 - Prob. 6PECh. 11.5 - Prob. 7PECh. 11.5 - Prob. 8PECh. 11.5 - Prob. 9PECh. 11.5 - Prob. 10PECh. 11.5 - Prob. 11PECh. 11.5 - Prob. 12PECh. 11.5 - Prob. 13PECh. 11.5 - Prob. 14PECh. 11.5 - Prob. 15PECh. 11.5 - Prob. 16PECh. 11.5 - Prob. 17PECh. 11.5 - Prob. 18PECh. 11.5 - Prob. 19PECh. 11.5 - Prob. 20PECh. 11.5 - Prob. 21PECh. 11.5 - Prob. 22PECh. 11.5 - Prob. 23PECh. 11.5 - Prob. 24PECh. 11.5 - Prob. 25PECh. 11.5 - Prob. 26PECh. 11.5 - Prob. 27PECh. 11.5 - Prob. 28PECh. 11.5 - Prob. 29PECh. 11.5 - Prob. 30PECh. 11.5 - a. Write a polar equation to represent the...Ch. 11.5 - Prob. 32PECh. 11.5 - Prob. 33PECh. 11.5 - Prob. 34PECh. 11.5 - Prob. 35PECh. 11.5 - Prob. 36PECh. 11.5 - Prob. 37PECh. 11.5 - Prob. 38PECh. 11.5 - Prob. 39PECh. 11.5 - Prob. 40PECh. 11.5 - Prob. 41PECh. 11.5 - Prob. 42PECh. 11.5 - Prob. 43PECh. 11.5 - Prob. 44PECh. 11.5 - Prob. 45PECh. 11.5 - Prob. 46PECh. 11.5 - Prob. 47PECh. 11.5 - Prob. 48PECh. 11.5 - Prob. 49PECh. 11.6 - Solve the equation. 5w2+2w1=0Ch. 11.6 - Prob. R.2PECh. 11.6 - Prob. 1PECh. 11.6 - Prob. 2PECh. 11.6 - Prob. 3PECh. 11.6 - Prob. 4PECh. 11.6 - Prob. 5PECh. 11.6 - Prob. 6PECh. 11.6 - For Exercises 7-10, sketch the plane curve by...Ch. 11.6 - For Exercises 7-10, sketch the plane curve by...Ch. 11.6 - For Exercises 7-10, sketch the plane curve by...Ch. 11.6 - Prob. 10PECh. 11.6 - Prob. 11PECh. 11.6 - Prob. 12PECh. 11.6 - Prob. 13PECh. 11.6 - Prob. 14PECh. 11.6 - For Exercises 11-26, Eliminate the parameter and...Ch. 11.6 - Prob. 16PECh. 11.6 - For Exercises 11-26, Eliminate the parameter and...Ch. 11.6 - Prob. 18PECh. 11.6 - For Exercises 11-26, Eliminate the parameter and...Ch. 11.6 - Prob. 20PECh. 11.6 - For Exercises 11-26, Eliminate the parameter and...Ch. 11.6 - Prob. 22PECh. 11.6 - Prob. 23PECh. 11.6 - Prob. 24PECh. 11.6 - Prob. 25PECh. 11.6 - Prob. 26PECh. 11.6 - For Exercises 27-30, eliminate the parameter and...Ch. 11.6 - Prob. 28PECh. 11.6 - Prob. 29PECh. 11.6 - For Exercises 27-30, eliminate the parameter and...Ch. 11.6 - For Exercise 31-34, write parametric equations for...Ch. 11.6 - Prob. 32PECh. 11.6 - For Exercises 31-34 wr1te parametric equations for...Ch. 11.6 - Prob. 34PECh. 11.6 - For Exercises 35-42, use the results of Exercises...Ch. 11.6 - Prob. 36PECh. 11.6 - For Exercises 35-42, use the results of Exercises...Ch. 11.6 - Prob. 38PECh. 11.6 - For Exercises 35-42, use the results of Exercises...Ch. 11.6 - Prob. 40PECh. 11.6 - For Exercises 35-42, use the results of Exercises...Ch. 11.6 - Prob. 42PECh. 11.6 - For Exercises 43-46, write parametric equations on...Ch. 11.6 - For Exercises 43-46, write parametric equations on...Ch. 11.6 - For Exercises 43-46 write parametric equations on...Ch. 11.6 - For Exercises 43-46 write parametric equations on...Ch. 11.6 - Prob. 47PECh. 11.6 - Prob. 48PECh. 11.6 - Prob. 49PECh. 11.6 - A hospital is located 3 mi west and 4 mi north of...Ch. 11.6 - An artillery specialist practicing at a firing...Ch. 11.6 - Prob. 52PECh. 11.6 - Prob. 53PECh. 11.6 - Prob. 54PECh. 11.6 - Prob. 55PECh. 11.6 - Prob. 56PECh. 11.6 - Suppose that a mortar is fired from ground level...Ch. 11.6 - Prob. 58PECh. 11.6 - Prob. 59PECh. 11.6 - Prob. 60PECh. 11.6 - For Exercises 61-62, describe the differences in...Ch. 11.6 - For Exercises 61-62, describe the differences in...Ch. 11.6 - Prob. 63PECh. 11.6 - Prob. 64PECh. 11.6 - Prob. 65PECh. 11.6 - Prob. 66PECh. 11.6 - Prob. 67PECh. 11.6 - For Exercises 68-70, use a graphing utility to...Ch. 11.6 - For Exercises 68-70, use a graphing utility to...Ch. 11.6 - Prob. 70PECh. 11.6 - Prob. 71PECh. 11.6 - Prob. 72PECh. 11.6 - Prob. 73PECh. 11.6 - Prob. 74PECh. 11 - Prob. 1PRECh. 11 - Prob. 2PRECh. 11 - Prob. 3PRECh. 11 - Prob. 4PRECh. 11 - Prob. 5PRECh. 11 - Prob. 6PRECh. 11 - Prob. 7PRECh. 11 - Prob. 8PRECh. 11 - Prob. 9PRECh. 11 - Prob. 10PRECh. 11 - Prob. 11PRECh. 11 - Prob. 12PRECh. 11 - Prob. 13PRECh. 11 - Prob. 14PRECh. 11 - Prob. 15PRECh. 11 - Prob. 16PRECh. 11 - Prob. 17PRECh. 11 - Prob. 18PRECh. 11 - For Exercises 17-22, an equation of a degenerate...Ch. 11 - Prob. 20PRECh. 11 - Prob. 21PRECh. 11 - For Exercises 17—22, an equation of a degenerate...Ch. 11 - Prob. 23PRECh. 11 - Prob. 24PRECh. 11 - Prob. 25PRECh. 11 - Prob. 1RECh. 11 - Prob. 2RECh. 11 - Prob. 3RECh. 11 - Prob. 4RECh. 11 - Prob. 5RECh. 11 - Prob. 6RECh. 11 - Prob. 7RECh. 11 - Prob. 8RECh. 11 - Prob. 9RECh. 11 - Prob. 10RECh. 11 - Prob. 11RECh. 11 - Prob. 12RECh. 11 - Prob. 13RECh. 11 - Prob. 14RECh. 11 - Prob. 15RECh. 11 - Prob. 16RECh. 11 - Prob. 17RECh. 11 - Prob. 18RECh. 11 - Prob. 19RECh. 11 - Prob. 20RECh. 11 - Prob. 21RECh. 11 - Prob. 22RECh. 11 - Prob. 23RECh. 11 - Prob. 24RECh. 11 - Prob. 25RECh. 11 - Prob. 26RECh. 11 - Prob. 27RECh. 11 - Prob. 28RECh. 11 - Prob. 29RECh. 11 - Prob. 30RECh. 11 - Prob. 31RECh. 11 - Prob. 32RECh. 11 - Prob. 33RECh. 11 - Prob. 34RECh. 11 - Prob. 35RECh. 11 - Prob. 36RECh. 11 - Prob. 37RECh. 11 - Prob. 38RECh. 11 - Prob. 39RECh. 11 - Prob. 40RECh. 11 - Prob. 41RECh. 11 - Prob. 42RECh. 11 - Prob. 43RECh. 11 - Prob. 44RECh. 11 - Prob. 45RECh. 11 - Prob. 46RECh. 11 - Prob. 47RECh. 11 - Prob. 48RECh. 11 - Prob. 49RECh. 11 - Prob. 50RECh. 11 - Prob. 51RECh. 11 - Prob. 52RECh. 11 - Prob. 53RECh. 11 - Prob. 54RECh. 11 - Prob. 55RECh. 11 - Prob. 56RECh. 11 - Prob. 57RECh. 11 - Prob. 58RECh. 11 - Prob. 59RECh. 11 - Prob. 60RECh. 11 - Prob. 61RECh. 11 - Prob. 62RECh. 11 - Prob. 63RECh. 11 - Prob. 64RECh. 11 - Prob. 65RECh. 11 - Prob. 66RECh. 11 - Prob. 67RECh. 11 - Prob. 68RECh. 11 - Prob. 69RECh. 11 - Prob. 70RECh. 11 - Prob. 71RECh. 11 - Prob. 72RECh. 11 - Prob. 73RECh. 11 - Prob. 74RECh. 11 - Prob. 75RECh. 11 - Prob. 1TCh. 11 - Prob. 2TCh. 11 - Prob. 3TCh. 11 - Prob. 4TCh. 11 - Prob. 5TCh. 11 - Prob. 6TCh. 11 - Prob. 7TCh. 11 - Prob. 8TCh. 11 - Prob. 9TCh. 11 - Prob. 10TCh. 11 - Prob. 11TCh. 11 - Prob. 12TCh. 11 - Prob. 13TCh. 11 - Prob. 14TCh. 11 - Prob. 15TCh. 11 - Prob. 16TCh. 11 - Prob. 17TCh. 11 - Neptune orbits the Sun in an elliptical path with...Ch. 11 - Prob. 19TCh. 11 - Prob. 20TCh. 11 - Prob. 21TCh. 11 - Prob. 22TCh. 11 - Prob. 23TCh. 11 - Prob. 24TCh. 11 - Prob. 25TCh. 11 - Prob. 26TCh. 11 - Prob. 27TCh. 11 - Prob. 28TCh. 11 - Prob. 29TCh. 11 - Prob. 30TCh. 11 - Prob. 31TCh. 11 - Prob. 32TCh. 11 - Prob. 33TCh. 11 - Prob. 34TCh. 11 - Prob. 35TCh. 11 - Prob. 36TCh. 11 - Prob. 37TCh. 11 - Prob. 38TCh. 11 - Prob. 39TCh. 11 - Prob. 40TCh. 11 - Prob. 41TCh. 11 - Prob. 42TCh. 11 - Prob. 43TCh. 11 - Prob. 44TCh. 11 - Prob. 45TCh. 11 - Prob. 46TCh. 11 - Prob. 47TCh. 11 - Prob. 1CRECh. 11 - Prob. 2CRECh. 11 - Prob. 3CRECh. 11 - Prob. 4CRECh. 11 - Prob. 5CRECh. 11 - Prob. 6CRECh. 11 - Prob. 7CRECh. 11 - A boat travels 10 mph at a bearing of N30°E in...Ch. 11 - Prob. 9CRECh. 11 - Prob. 10CRECh. 11 - Prob. 11CRECh. 11 - Prob. 12CRECh. 11 - Prob. 13CRECh. 11 - Prob. 14CRECh. 11 - Prob. 15CRECh. 11 - Prob. 16CRECh. 11 - Prob. 17CRECh. 11 - Prob. 18CRECh. 11 - Prob. 19CRECh. 11 - Prob. 20CRECh. 11 - Prob. 21CRECh. 11 - Prob. 22CRECh. 11 - Prob. 23CRECh. 11 - Prob. 24CRECh. 11 - Prob. 25CRECh. 11 - Prob. 26CRECh. 11 - Prob. 27CRECh. 11 - Prob. 28CRECh. 11 - Prob. 29CRECh. 11 - Prob. 30CRE
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- In Exercises 17–30, find the equations of the parabolas satisfying the given conditions. The vertex of each is at the origin.arrow_forwardExercises 45–48 give equations for parabolas and tell how many units up or down and to the right or left each parabola is to be shifted. Find an equation for the new parabola, and find the new vertex, focus, and directrix.arrow_forwardExercises 45–48 give equations for parabolas and tell how many units up or down and to the right or left each parabola is to be shifted. Find an equation for the new parabola, and find the new vertex, focus, and directrix. 45. y2 = 4x, 46. x2 = 8y, right 1, down 7 47. x2 = 6y, left 2, down 3 48. y2 = -12x, right 4, up 3 left 3, down 2arrow_forward
- For Exercises 43–48, the equation represents a conic section (nondegenerative case). a. Identify the type of conic section. (See Example 6) b. Graph the equation on a graphing utility. 43. 4x – 4xy + 5y – 20 = 0 44. 6x + 4V3xy + 2y - 18x + 18V3y – 72 = 0 45. 2x – 6xy + 3y² - 4x + 12y – 9 = 0 46. 5x – 3xy + 2y – 6 = 0 47. 4x + 8xy + 4y – 2x – 5y – 2 = 0 48. 4x? + 8V3xy + 3y + 2x – 12y – 6 = 0arrow_forwardExercises 27–34 give equations for hyperbolas. Put each equation instandard form and find the hyperbola’s asymptotes. Then sketch thehyperbola. Include the asymptotes and foci in your sketch.27. x2 - y2 = 1 28. 9x2 - 16y2 = 14429. y2 - x2 = 8 30. y2 - x2 = 431. 8x2 - 2y2 = 16 32. y2 - 3x2 = 333. 8y2 - 2x2 = 16 34. 64x2 - 36y2 = 2304arrow_forwardIn Exercises 5–16, determine the coordinates of the focus and the equation of the directrix of the given parabolas. Sketch each curve.arrow_forward
- For Exercises 13–22, a. Identify the center. b. Identify the vertices. c. Identify the foci. d. Write equations for the asymptotes. e. Graph the hyperbola. (See Examples 1-2) 13. 16 y? = 1 25 14. 25 y? = 1 36 y² 15. 4 = 1 36 y? 16. 9. = 1 49 17. 25y - 81x = 2025 18. 49y? 16x = 784 19. - 5x? + 7y² = -35 20. –7x + 1ly = -77 21. 25 16y 1 4x? 22. 81 16y? 1 49 225arrow_forwardIn Exercises 37–40, find the center, foci, vertices, and eccentricity of the hyperbola, and sketch its graph using asymptotes as an aid.arrow_forwardFor Exercises 67–70, identify the equation as representing an ellipse or a hyperbola, and match the equation with the graph. (x – 5)² 67. (y + 2)² = 1 (x – 5)? 68. (y + 2)? = 1 49 36 36 49 (x - 5)? 69. (y + 2)² = 1 (y + 2)² = 1 (x - 5)? 49 36 70. 49 36 А. В. С. D. 15 12 41 6 -6-4-2 4 6 8 10 12 14 4 6 8 10 12 14 -6 -4 2. 4 6 8 10l 12 14 -6 1k 15 18 21 -6arrow_forward
- In Exercises 100–101, write the equation of each parabola in standard form. 100. Vertex: (-3, -4); The graph passes through the point (1, 4). 101. Vertex: (-3, -1); The graph passes through the point (-2, –3).arrow_forwardFind the equation y = ax2 + bx +c of the parabola that passes through the points (-2,0), (0, –14), (7,0) .arrow_forwardFor Exercises 27–34, an equation of a parabola x = 4py or y = 4px is given. a. Identify the vertex, value of p, focus, and focal diameter of the parabola. b. Identify the endpoints of the latus rectum. c. Graph the parabola. d. Write equations for the directrix and axis of symmetry. (See Examples 2-3) 27. x -4y 28. x -20y 29. 10y = 80x 30. 3y = 12x 31. 4x 40y 32. 2x 14y 33. y = 34. y = -2x = -X %3Darrow_forward
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