COLLEGE ALGEBRA ACCESS CODE
1st Edition
ISBN: 9781260867022
Author: Miller
Publisher: MCG
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Chapter 7.1, Problem 83PE
To determine
To calculate: The standard form of the ellipse subject to the condition that foci
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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.
In Exercises 3–16, find the coordinates of the vertices and foci of the
given ellipses. Sketch each curve.
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.
Chapter 7 Solutions
COLLEGE ALGEBRA ACCESS CODE
Ch. 7.1 - Skill Practice
1. Graph the ellipse, and identify...Ch. 7.1 - Prob. 2SPCh. 7.1 - Prob. 3SPCh. 7.1 - Prob. 4SPCh. 7.1 - Prob. 5SPCh. 7.1 - Prob. 6SPCh. 7.1 - Prob. 1PECh. 7.1 - Prob. 2PECh. 7.1 - Prob. 3PECh. 7.1 - Prob. 4PE
Ch. 7.1 - Prob. 5PECh. 7.1 - Prob. 6PECh. 7.1 - 1. The circle, the ellipse, the hyperbola, and the...Ch. 7.1 - Prob. 8PECh. 7.1 - Prob. 9PECh. 7.1 - Prob. 10PECh. 7.1 - Prob. 11PECh. 7.1 - Prob. 12PECh. 7.1 - Prob. 13PECh. 7.1 - Prob. 14PECh. 7.1 - Given x2a2+y2b2=1,whereab0, the ordered pairs...Ch. 7.1 - Prob. 16PECh. 7.1 - Prob. 17PECh. 7.1 - Prob. 18PECh. 7.1 - Prob. 19PECh. 7.1 - Prob. 20PECh. 7.1 - For Exercises 1112, from the equation of the...Ch. 7.1 - Prob. 22PECh. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - Prob. 24PECh. 7.1 - For Exercises 13–22,
a. Identify the center of...Ch. 7.1 - Prob. 26PECh. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 13–22,
a. Identify the center of...Ch. 7.1 - For Exercises 1322, a. Identify the center of the...Ch. 7.1 - For Exercises 13–22,
a. Identify the center of...Ch. 7.1 - For Exercises 2332, a. Identify the center of the...Ch. 7.1 - Prob. 34PECh. 7.1 - For Exercises 2332, a. Identify the center of the...Ch. 7.1 - Prob. 36PECh. 7.1 - For Exercises 2332, a. Identify the center of the...Ch. 7.1 - Prob. 38PECh. 7.1 - For Exercises 2332, a. Identify the center of the...Ch. 7.1 - Prob. 40PECh. 7.1 - For Exercises 23–32,
a. Identify the center of...Ch. 7.1 - Prob. 42PECh. 7.1 - For Exercises 33–42,
a. Write the equation of the...Ch. 7.1 - For Exercises 33–42,
a. Write the equation of the...Ch. 7.1 - For Exercises 3342, a. Write the equation of the...Ch. 7.1 - Prob. 46PECh. 7.1 - For Exercises 33–42,
a. Write the equation of the...Ch. 7.1 - Prob. 48PECh. 7.1 - For Exercises 3342, a. Write the equation of the...Ch. 7.1 - Prob. 50PECh. 7.1 - For Exercises 43–56, write the standard form of an...Ch. 7.1 - For Exercises 43–56, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - Prob. 54PECh. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - Prob. 58PECh. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - Prob. 60PECh. 7.1 - For Exercises 43–56, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - For Exercises 4356, write the standard form of an...Ch. 7.1 - Prob. 64PECh. 7.1 - Prob. 87PECh. 7.1 - 58. The reflective property of an ellipse is the...Ch. 7.1 - Prob. 85PECh. 7.1 - A window above a door is to be made in the shape...Ch. 7.1 - Prob. 65PECh. 7.1 - Prob. 66PECh. 7.1 - Prob. 67PECh. 7.1 - Prob. 68PECh. 7.1 - Prob. 69PECh. 7.1 - Prob. 70PECh. 7.1 - Prob. 71PECh. 7.1 - Prob. 72PECh. 7.1 - Prob. 73PECh. 7.1 - Prob. 74PECh. 7.1 - Prob. 75PECh. 7.1 - Prob. 76PECh. 7.1 - Prob. 77PECh. 7.1 - 74. Halley’s Comet and the comet Hale-Bopp both...Ch. 7.1 - Prob. 79PECh. 7.1 - The planet Saturn orbits the Sun in an elliptical...Ch. 7.1 - For Exercises 7982, write the standard form of an...Ch. 7.1 - Prob. 82PECh. 7.1 - Prob. 83PECh. 7.1 - Prob. 84PECh. 7.1 - Prob. 89PECh. 7.1 - Prob. 90PECh. 7.1 - Prob. 91PECh. 7.1 - Prob. 92PECh. 7.1 - Prob. 93PECh. 7.1 - Prob. 94PECh. 7.1 - Prob. 95PECh. 7.1 - Prob. 96PECh. 7.1 - Prob. 97PECh. 7.1 - Prob. 98PECh. 7.1 - 95. An elliptical pool table is in the shape of an...Ch. 7.1 - Prob. 100PECh. 7.1 - Explain the difference between the graphs of the...Ch. 7.1 - Prob. 102PECh. 7.1 - Prob. 103PECh. 7.1 - Prob. 104PECh. 7.1 - Prob. 105PECh. 7.1 - 100. Find the pints on the ellipse that are twice...Ch. 7.1 - Prob. 107PECh. 7.1 - Prob. 108PECh. 7.1 - Prob. 109PECh. 7.1 - Prob. 110PECh. 7.1 - Prob. 111PECh. 7.2 - Skill Practice Repeat Example 1 with the equation:...Ch. 7.2 - Prob. 2SPCh. 7.2 - Prob. 3SPCh. 7.2 - Prob. 4SPCh. 7.2 - Prob. 5SPCh. 7.2 - Prob. 6SPCh. 7.2 - Prob. 7SPCh. 7.2 - Prob. 1PECh. 7.2 - Prob. 2PECh. 7.2 - Prob. 3PECh. 7.2 - Prob. 4PECh. 7.2 - Prob. 5PECh. 7.2 - Prob. 6PECh. 7.2 - Prob. 7PECh. 7.2 - Prob. 8PECh. 7.2 - Prob. 9PECh. 7.2 - Prob. 10PECh. 7.2 - Prob. 13PECh. 7.2 - Prob. 11PECh. 7.2 - Prob. 12PECh. 7.2 - Prob. 14PECh. 7.2 - Prob. 15PECh. 7.2 - Prob. 16PECh. 7.2 - Prob. 17PECh. 7.2 - For Exercises 7–8,
a. Use the distance formula to...Ch. 7.2 - For Exercises 9–12, determine whether the...Ch. 7.2 - Prob. 20PECh. 7.2 - For Exercises 912, determine whether the...Ch. 7.2 - Prob. 22PECh. 7.2 - For Exercises 13–22,
a. Identify the center....Ch. 7.2 - Prob. 24PECh. 7.2 - For Exercises 13–22,
a. Identify the center....Ch. 7.2 - Prob. 26PECh. 7.2 - For Exercises 1322, a. Identify the center. b....Ch. 7.2 - Prob. 28PECh. 7.2 - For Exercises 13–22,
a. Identify the center....Ch. 7.2 - Prob. 30PECh. 7.2 - For Exercises 13–22,
a. Identify the center....Ch. 7.2 - Prob. 32PECh. 7.2 - For Exercises 2332, a. Identify the center. b....Ch. 7.2 - Prob. 34PECh. 7.2 - For Exercises 2332, a. Identify the center. b....Ch. 7.2 - Prob. 36PECh. 7.2 - For Exercises 23–32,
a. Identify the center....Ch. 7.2 - Prob. 38PECh. 7.2 - For Exercises 2332, a. Identify the center. b....Ch. 7.2 - Prob. 40PECh. 7.2 - For Exercises 23–32,
a. Identify the center....Ch. 7.2 - Prob. 42PECh. 7.2 - For Exercises 3340, a. Write the equation of the...Ch. 7.2 - Prob. 44PECh. 7.2 - For Exercises 3340, a. Write the equation of the...Ch. 7.2 - For Exercises 33–40,
a. Write the equation of...Ch. 7.2 - For Exercises 33–40,
a. Write the equation of...Ch. 7.2 - Prob. 48PECh. 7.2 - For Exercises 33–40,
a. Write the equation of...Ch. 7.2 - Prob. 50PECh. 7.2 - For Exercises 41–50, write the standard form of...Ch. 7.2 - Prob. 52PECh. 7.2 - For Exercises 4150, write the standard form of the...Ch. 7.2 - Prob. 54PECh. 7.2 - For Exercises 4150, write the standard form of the...Ch. 7.2 - Prob. 56PECh. 7.2 - For Exercises 41–50, write the standard form of...Ch. 7.2 - For Exercises 4150, write the standard form of the...Ch. 7.2 - For Exercises 41–50, write the standard form of...Ch. 7.2 - For Exercises 41–50, write the standard form of...Ch. 7.2 - Prob. 61PECh. 7.2 - Prob. 62PECh. 7.2 - Prob. 63PECh. 7.2 - Prob. 64PECh. 7.2 - Prob. 65PECh. 7.2 - Determine the eccentricity of a hyperbola with a...Ch. 7.2 - Prob. 67PECh. 7.2 - Prob. 68PECh. 7.2 - Two radio transmitters are 1000 mi apart at points...Ch. 7.2 - Prob. 70PECh. 7.2 - 65. In September 2009, Australian astronomer...Ch. 7.2 - 66. The cross section of a cooling tower of a...Ch. 7.2 - Prob. 73PECh. 7.2 - Prob. 74PECh. 7.2 - Prob. 75PECh. 7.2 - Prob. 76PECh. 7.2 - Prob. 77PECh. 7.2 - Prob. 78PECh. 7.2 - Prob. 79PECh. 7.2 - Prob. 80PECh. 7.2 - Prob. 81PECh. 7.2 - Prob. 82PECh. 7.2 - Prob. 83PECh. 7.2 - Prob. 84PECh. 7.2 - Prob. 85PECh. 7.2 - Prob. 86PECh. 7.2 - Prob. 87PECh. 7.2 - Prob. 88PECh. 7.2 - Prob. 89PECh. 7.2 - Prob. 90PECh. 7.2 - Prob. 91PECh. 7.2 - Prob. 92PECh. 7.3 - Skill Practice Given a parabola defined by x2=4y,...Ch. 7.3 - Prob. 2SPCh. 7.3 - Prob. 3SPCh. 7.3 - Prob. 4SPCh. 7.3 - Prob. 5SPCh. 7.3 - Skill Practice Determine the standard form of an...Ch. 7.3 - Prob. 1PECh. 7.3 - For Exercises 1-6, identify each equation as...Ch. 7.3 - Prob. 3PECh. 7.3 - Prob. 4PECh. 7.3 - Prob. 5PECh. 7.3 - Prob. 6PECh. 7.3 - Prob. 7PECh. 7.3 - Prob. 8PECh. 7.3 - Prob. 9PECh. 7.3 - Prob. 10PECh. 7.3 - Prob. 11PECh. 7.3 - Prob. 12PECh. 7.3 - Prob. 13PECh. 7.3 - Prob. 14PECh. 7.3 - Prob. 15PECh. 7.3 - Prob. 16PECh. 7.3 - Prob. 17PECh. 7.3 - Prob. 18PECh. 7.3 - Prob. 19PECh. 7.3 - Prob. 20PECh. 7.3 - Prob. 21PECh. 7.3 - Prob. 22PECh. 7.3 - For Exercises 15–22, a model of the form is...Ch. 7.3 - Prob. 24PECh. 7.3 - For Exercises 1522, a model of the form...Ch. 7.3 - For Exercises 15–22, a model of the form is...Ch. 7.3 - For Exercises 15–22, a model of the form is...Ch. 7.3 - Prob. 28PECh. 7.3 - For Exercises 1522, a model of the form...Ch. 7.3 - Prob. 30PECh. 7.3 - A 20-in. satellite dish for a television has...Ch. 7.3 - Prob. 32PECh. 7.3 - For Exercises 2734, an equation of a parabola...Ch. 7.3 - Prob. 34PECh. 7.3 - For Exercises 2734, an equation of a parabola...Ch. 7.3 - Prob. 36PECh. 7.3 - For Exercises 2734, an equation of a parabola...Ch. 7.3 - Prob. 38PECh. 7.3 - For Exercises 2734, an equation of a parabola...Ch. 7.3 - Prob. 40PECh. 7.3 - For Exercises 35–44, an equation of a parabola or...Ch. 7.3 - Prob. 42PECh. 7.3 - For Exercises 35–44, an equation of a parabola or...Ch. 7.3 - Prob. 44PECh. 7.3 - For Exercises 35–44, an equation of a parabola or...Ch. 7.3 - Prob. 46PECh. 7.3 - For Exercises 3544, an equation of a parabola...Ch. 7.3 - Prob. 48PECh. 7.3 - For Exercises 3544, an equation of a parabola...Ch. 7.3 - Prob. 50PECh. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 4552, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - For Exercises 45–52, an equation of a parabola is...Ch. 7.3 - Prob. 58PECh. 7.3 - For Exercises 53–58, fill in the blanks, Let ...Ch. 7.3 - Prob. 60PECh. 7.3 - For Exercises 5358, fill in the blanks, Let |p|...Ch. 7.3 - Prob. 62PECh. 7.3 - For Exercises 53–58, fill in the blanks, Let ...Ch. 7.3 - Prob. 64PECh. 7.3 - 59. If the focal length of a parabola is 6 units...Ch. 7.3 - If the axis of symmetry of a parabola is given by...Ch. 7.3 - For Exercises 6168, determine the standard form of...Ch. 7.3 - Prob. 68PECh. 7.3 - For Exercises 6168, determine the standard form of...Ch. 7.3 - Prob. 70PECh. 7.3 - For Exercises 6168, determine the standard form of...Ch. 7.3 - Prob. 72PECh. 7.3 - For Exercises 6168, determine the standard form of...Ch. 7.3 - Prob. 74PECh. 7.3 - The Hubble Space Telescope was launched into space...Ch. 7.3 - 72. The James Webb Space Telescope (JWST) is a now...Ch. 7.3 - Prob. 77PECh. 7.3 - Prob. 78PECh. 7.3 - Prob. 79PECh. 7.3 - Prob. 80PECh. 7.3 - Prob. 81PECh. 7.3 - Prob. 82PECh. 7.3 - Prob. 83PECh. 7.3 - Prob. 84PECh. 7.3 - Prob. 85PECh. 7.3 - Prob. 1PRECh. 7.3 - Prob. 2PRECh. 7.3 - Prob. 3PRECh. 7.3 - Prob. 4PRECh. 7.3 - Prob. 5PRECh. 7.3 - Prob. 6PRECh. 7.3 - Prob. 7PRECh. 7.3 - Prob. 8PRECh. 7.3 - For Exercises 916, determine whether the equation...Ch. 7.3 - Prob. 10PRECh. 7.3 - Prob. 11PRECh. 7.3 - Prob. 12PRECh. 7.3 - Prob. 13PRECh. 7.3 - Prob. 14PRECh. 7.3 - Prob. 15PRECh. 7.3 - Prob. 16PRECh. 7.3 - Prob. 17PRECh. 7.3 - Prob. 18PRECh. 7.3 - Prob. 19PRECh. 7.3 - For Exercises 17–22, an equation of a degenerate...Ch. 7.3 - Prob. 21PRECh. 7.3 - Prob. 22PRECh. 7 - 1. How are the graphs of these ellipses similar...Ch. 7 - Prob. 2RECh. 7 - Prob. 3RECh. 7 - Prob. 4RECh. 7 - Prob. 5RECh. 7 - For Exercises 67, a. Write the equation of the...Ch. 7 - Prob. 7RECh. 7 - Prob. 8RECh. 7 - Prob. 9RECh. 7 - Prob. 10RECh. 7 - Prob. 11RECh. 7 - Prob. 12RECh. 7 - Prob. 13RECh. 7 - Prob. 14RECh. 7 - Prob. 15RECh. 7 - Prob. 16RECh. 7 - Prob. 17RECh. 7 - Prob. 18RECh. 7 - Prob. 19RECh. 7 - For Exercises 1720, an equation of a hyperbola is...Ch. 7 - Prob. 21RECh. 7 - Prob. 22RECh. 7 - Prob. 23RECh. 7 - Prob. 24RECh. 7 - Prob. 25RECh. 7 - Prob. 26RECh. 7 - Prob. 27RECh. 7 - Prob. 28RECh. 7 - Prob. 29RECh. 7 - Prob. 30RECh. 7 - For Exercises 3033, an equation of a parabola is...Ch. 7 - Prob. 32RECh. 7 - Prob. 33RECh. 7 - Prob. 34RECh. 7 - Prob. 35RECh. 7 - Prob. 36RECh. 7 - Prob. 37RECh. 7 - Prob. 38RECh. 7 - Prob. 39RECh. 7 - Prob. 40RECh. 7 - Prob. 41RECh. 7 - Prob. 42RECh. 7 - Prob. 1TCh. 7 - Prob. 2TCh. 7 - Prob. 3TCh. 7 - Prob. 4TCh. 7 - Prob. 5TCh. 7 - Prob. 6TCh. 7 - Prob. 7TCh. 7 - Prob. 8TCh. 7 - Prob. 9TCh. 7 - For Exercises 916, a. Identify the equation as...Ch. 7 - Prob. 11TCh. 7 - Prob. 12TCh. 7 - For Exercises 916, a. Identify the equation as...Ch. 7 - Prob. 14TCh. 7 - Prob. 15TCh. 7 - For Exercises 916, a. Identify the equation as...Ch. 7 - 17. The entrance to a tunnel is in the shape of a...Ch. 7 - 18. Neptune orbits the Sun in an elliptical path...Ch. 7 - Prob. 19TCh. 7 - The middle span of the Golden Gate Bridge in San...Ch. 7 - Prob. 21TCh. 7 - Prob. 22TCh. 7 - Prob. 23TCh. 7 - Write the standard form of an equation of a...Ch. 7 - Prob. 25TCh. 7 - Prob. 26TCh. 7 - Prob. 27TCh. 7 - Prob. 28TCh. 7 - Prob. 29TCh. 7 - Prob. 30TCh. 7 - 1. Use long division to divide.
Ch. 7 - Prob. 2CRECh. 7 - Prob. 3CRECh. 7 - Prob. 4CRECh. 7 - Prob. 5CRECh. 7 - Prob. 6CRECh. 7 - Prob. 7CRECh. 7 - Prob. 8CRECh. 7 - Prob. 9CRECh. 7 - Prob. 10CRECh. 7 - Prob. 11CRECh. 7 - Prob. 12CRECh. 7 - Prob. 13CRECh. 7 - Prob. 14CRECh. 7 - Prob. 15CRECh. 7 - Prob. 16CRECh. 7 - Prob. 17CRECh. 7 - Prob. 18CRECh. 7 - Prob. 19CRECh. 7 - Prob. 20CRECh. 7 - Prob. 21CRECh. 7 - Prob. 22CRECh. 7 - Prob. 23CRECh. 7 - Prob. 24CRECh. 7 - Prob. 25CRECh. 7 - Prob. 26CRECh. 7 - Prob. 27CRECh. 7 - Prob. 28CRECh. 7 - Prob. 29CRECh. 7 - Prob. 30CRE
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- In Exercises 1–8, find the eccentricity of the ellipse. Then find and graph the ellipse’s foci and directrices.arrow_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 11–16, find the vertex, focus, and directrix of the parabola, and sketch its graph.arrow_forward
- In Exercises 37–40, find the center, foci, vertices, and eccentricity of the hyperbola, and sketch its graph using asymptotes as an aid.arrow_forwardExercises 9–12 give the foci or vertices and the eccentricities of ellipses centered at the origin of the xy-plane. In each case, find the ellipse’s standard-form equation in Cartesian coordinatesarrow_forwardFor Exercises 79–82, write the standard form of an equation of the ellipse subject to the following conditions. 79. Center: (0, 0); Eccentricity: ; Major axis vertical of length 34 units 80. Center: (0, 0); Eccentricity: ; Major axis vertical of length 82 units 81. Foci: (0, – 1) and (8, – 1); Eccentricity: 82. Foci: (0, – 1) and (-6, –1); Eccentricity: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_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_forwardExercises 53–54 give equations for hyperbolas and tell how many units up or down and to the right or left each hyperbola is to be shifted. Find an equation for the new hyperbola, and find the new center, foci, vertices, and asymptotes. 53. y2/3-x2=1 right 1, up 3 54. y2-x2=1 left 1, down 1arrow_forward
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