College Algebra & Trigonometry - Standalone book
1st Edition
ISBN: 9780078035623
Author: Julie Miller, Donna Gerken
Publisher: McGraw-Hill Education
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Textbook Question
Chapter 11.3, Problem 47PE
For Exercises 45—52, an equation of a parabola is given.
- Write the equation of the parabola in standard form
- Identify the vertex, focus, and focal diameter. (See Example 5)
Expert Solution & Answer
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Check out a sample textbook solutionStudents have asked these similar questions
For 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
%3D
Exercises 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 2
Exercises 111–122: (See Examples 12 and 13.) If possible,
write the given general equation of a circle in standard
form by completing the square, and identify the center and
radius. Graph the circle.
Chapter 11 Solutions
College Algebra & Trigonometry - Standalone book
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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Let S be the parallelogram determined by the vectors b1 = [13] and b2 = [51], and let A = [1102]. Compute the a...
Linear Algebra and Its Applications (5th Edition)
Factor and solve the quadratic equation: x25x6=0.
College Algebra
Complete each statement with the correct term from the column on the right. Some of the choices may not be used...
Intermediate Algebra (13th Edition)
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- Exercises 9–11 give equations of parabolas. Find each parabola’s focus and directrix. Then sketch the parabola. Include the focus and directrix in your sketch. 9. y2 = 12x 10. x2 = 6y 11. x2 = -8yarrow_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_forwardIn 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.arrow_forward
- In Exercises 11–16, find the vertex, focus, and directrix of the parabola, and sketch its graph.arrow_forwardWrite an equation for a parabola with a vertex of (5,2) and a focus of (5,1) in vertex form. Show all of your work.arrow_forwardFor 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_forward
- In Exercises 17-30, find the standard form of the equation of each parabola satisfying the given conditions. 17. Focus: (7,0); Directrix: x = -7 18. Focus: (9,0); Directrix: x = -9 19. Focus: (-5,0); Directrix: x = 5 20. Focus: (-10, 0); Directrix: x = 10 21. Focus: (0, 15); Directrix: y = -15 22. Focus: (0,20); Directrix: y = -20 23. Focus: (0, –25); Directrix: y = 25 24. Focus: (0, -15); Directrix: y = 15 25. Vertex: (2, -3); Focus: (2, -5) 26. Vertex: (5, -2); Focus: (7, -2) 27. Focus: (3, 2); Directrix: x = -1 28. Focus: (2, 4); Directrix: x = -4 29. Focus: (-3, 4); Directrix: y = 2 30. Focus: (7, –1); Directrix: y = -9arrow_forwardWrite an equation for the parabola with a vertex at the origin and focus (5,0).arrow_forwardWrite the standard form of an equation of a parabola with vertex (h, k) and horizontal axis of symmetry.arrow_forward
- Write an equation of a parabola with vertex at origin, focus on the positive x – axis, 2 units away from the directrix. *arrow_forwardWrite the standard form of an equation of a parabola with vertex (h, k and vertical axis of symmetry.arrow_forwardWrite an equation of the parabola in standard form when focus is (9,0) and directrix is x=-9arrow_forward
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