Precalculus
Precalculus
9th Edition
ISBN: 9780321716835
Author: Michael Sullivan
Publisher: Addison Wesley
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Chapter 10.7, Problem 28AYU
To determine

To find: Two different parametric equations for the rectangular equation.

Expert Solution & Answer
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Answer to Problem 28AYU

x = t, y = 8t + 3 ;

x = t  1, y = 8t + 11

Explanation of Solution

Given:

y = 8x + 3

Calculation:

Let x = t ,

y = 8t + 3

Let x = t  1

y = 8( t  1 ) + 3

y = 8t + 8 + 3

y = 8t + 11

Chapter 10 Solutions

Precalculus

Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 13-20, the graph of a parabola is...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems 21-38, find the equation of the...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems 3956, find the vertex, focus, and...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems 3956, find the vertex, focus, and...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems 3956, find the vertex, focus, and...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems 3956, find the vertex, focus, and...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems 3956, find the vertex, focus, and...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems , find the vertex, focus, and...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - In Problems 57-64, write an equation for each...Ch. 10.2 - Satellite Dish A satellite dish is shaped like a...Ch. 10.2 - Prob. 64AYUCh. 10.2 - Prob. 65AYUCh. 10.2 - Prob. 66AYUCh. 10.2 - Prob. 67AYUCh. 10.2 - Prob. 68AYUCh. 10.2 - Prob. 69AYUCh. 10.2 - Prob. 70AYUCh. 10.2 - Prob. 71AYUCh. 10.2 - Prob. 72AYUCh. 10.2 - Prob. 73AYUCh. 10.2 - Prob. 74AYUCh. 10.2 - Prob. 75AYUCh. 10.2 - Prob. 76AYUCh. 10.2 - Prob. 77AYUCh. 10.2 - Prob. 78AYUCh. 10.2 - Prob. 79AYUCh. 10.3 - The distance d from P 1 =( 2,5 ) to P 2 =( 4,2 )...Ch. 10.3 - To complete the square of x 2 3x , Add _____. (p....Ch. 10.3 - Find the intercepts of the equation y 2 =164 x 2 ....Ch. 10.3 - The point that is symmetric with respect to the...Ch. 10.3 - The point that is symmetric with respect to the...Ch. 10.3 - Prob. 6AYUCh. 10.3 - A(n) _______ is the collection of all points in a...Ch. 10.3 - Multiple Choice For an ellipse, the foci lie on a...Ch. 10.3 - For the ellipse x 2 4 + y 2 25 =1 , the vertices...Ch. 10.3 - For the ellipse x 2 25 + y 2 9 =1 , the value of a...Ch. 10.3 - If the center of an ellipse is ( 2,3 ) , the major...Ch. 10.3 - Prob. 12AYUCh. 10.3 - In problems 13-16, the graph of an ellipse is...Ch. 10.3 - In problems 13-16, the graph of an ellipse is...Ch. 10.3 - In problems 13-16, the graph of an ellipse is...Ch. 10.3 - In problems 13-16, the graph of an ellipse is...Ch. 10.3 - In Problems 1726, analyze each equation. That is,...Ch. 10.3 - In Problems analyze each equation. That is, find...Ch. 10.3 - In Problems analyze each equation. That is, find...Ch. 10.3 - In Problems 1726, analyze each equation. That is,...Ch. 10.3 - In Problems 1726, analyze each equation. That is,...Ch. 10.3 - In Problems analyze each equation. That is, find...Ch. 10.3 - In Problems analyze each equation. That is, find...Ch. 10.3 - In Problems analyze each equation. That is, find...Ch. 10.3 - In Problems analyze each equation. That is, find...Ch. 10.3 - In Problems 1726, analyze each equation. 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Be sure to...Ch. 10.3 - In Problems 65-68, graph each function. Be sure to...Ch. 10.3 - In Problems 65-68, graph each function. Be sure to...Ch. 10.3 - In Problems 65-68, graph each function. Be sure to...Ch. 10.3 - Semielliptical Arch Bridge An arch in the shape of...Ch. 10.3 - Semielliptical Arch Bridge The arch of a bridge is...Ch. 10.3 - Whispering Gallery A hall 100 feet in length is to...Ch. 10.3 - Whispering Gallery Jim, standing at one focus of a...Ch. 10.3 - Semielliptical Arch Bridge A bridge is built in...Ch. 10.3 - Semielliptical Arch Bridge A bridge is to be built...Ch. 10.3 - Racetrack Design Consult the figure. 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For the hyperbola x 2 4 y 2 9 =1 , the value of a...Ch. 10.4 - For the hyperbola y 2 16 x 2 81 =1 , the...Ch. 10.4 - In Problems 15-18, the graph of a hyperbola is...Ch. 10.4 - In Problems 15-18, the graph of a hyperbola is...Ch. 10.4 - In Problems 15-18, the graph of a hyperbola is...Ch. 10.4 - In Problems 15-18, the graph of a hyperbola is...Ch. 10.4 - In Problems 1928, find an equation for the...Ch. 10.4 - In Problems 1928, find an equation for the...Ch. 10.4 - In Problems, find an equation for the hyperbola...Ch. 10.4 - In Problems, find an equation for the hyperbola...Ch. 10.4 - In Problems, find an equation for the hyperbola...Ch. 10.4 - In Problems, find an equation for the hyperbola...Ch. 10.4 - In Problems, find an equation for the hyperbola...Ch. 10.4 - In Problems 1928, find an equation for the...Ch. 10.4 - In Problems 1928, find an equation for the...Ch. 10.4 - In Problems 1928, find an equation for the...Ch. 10.4 - In Problems, find the center , transverse axis,...Ch. 10.4 - In Problems, find the center , transverse axis,...Ch. 10.4 - In Problems 2936, find the center, transverse...Ch. 10.4 - In Problems 2936, find the center, transverse...Ch. 10.4 - In Problems, find the center, transverse axis,...Ch. 10.4 - In Problems 2936, find the center, transverse...Ch. 10.4 - In Problems, find the center, transverse axis,...Ch. 10.4 - In Problems 2936, find the center, transverse...Ch. 10.4 - In Problems 37-40, write an equation for each...Ch. 10.4 - In Problems 37-40, write an equation for each...Ch. 10.4 - In Problems 37-40, write an equation for each...Ch. 10.4 - In Problems 37-40, write an equation for each...Ch. 10.4 - In Problems 41-48, find an equation for the...Ch. 10.4 - In Problems 41-48, find an equation for the...Ch. 10.4 - In Problems 41-48, find an equation for the...Ch. 10.4 - In Problems 41-48, find an equation for the...Ch. 10.4 - In Problems 41-48, find an equation for the...Ch. 10.4 - In Problems 41-48, find an equation for the...Ch. 10.4 - In Problems 41-48, find an equation for the...Ch. 10.4 - In Problems 41-48, find an equation for the...Ch. 10.4 - In Problems 4962, find the center, transverse...Ch. 10.4 - In Problems, find the center, transverse axis,...Ch. 10.4 - In Problems, find the center, transverse axis,...Ch. 10.4 - In Problems 4962, find the center, transverse...Ch. 10.4 - In Problems 4962, find the center, transverse...Ch. 10.4 - In Problems, find the center, transverse axis,...Ch. 10.4 - In Problems, find the center, transverse axis,...Ch. 10.4 - In Problems, find the center, transverse axis,...Ch. 10.4 - In Problems 4962, find the center, transverse...Ch. 10.4 - In Problems 4962, find the center, transverse...Ch. 10.4 - In Problems, find the center, transverse axis,...Ch. 10.4 - In Problems 4962, find the center, transverse...Ch. 10.4 - In Problems, find the center, transverse axis,...Ch. 10.4 - In Problems, find the center, transverse axis,...Ch. 10.4 - Prob. 63AYUCh. 10.4 - Prob. 64AYUCh. 10.4 - Prob. 65AYUCh. 10.4 - Prob. 66AYUCh. 10.4 - Prob. 67AYUCh. 10.4 - Prob. 68AYUCh. 10.4 - Prob. 69AYUCh. 10.4 - Prob. 70AYUCh. 10.4 - Prob. 71AYUCh. 10.4 - Prob. 72AYUCh. 10.4 - Prob. 73AYUCh. 10.4 - Prob. 74AYUCh. 10.4 - Fireworks Display Suppose that two people standing...Ch. 10.4 - Lightning Strikes Suppose that two people standing...Ch. 10.4 - Nuclear Power Plaut Some nuclear power plants...Ch. 10.4 - Prob. 78AYUCh. 10.4 - Rutherford’s Experiment In May 1911, Ernest...Ch. 10.4 - Prob. 80AYUCh. 10.4 - Prob. 81AYUCh. 10.4 - Prob. 82AYUCh. 10.4 - Prob. 83AYUCh. 10.4 - Prob. 84AYUCh. 10.4 - Prob. 85AYUCh. 10.4 - Prob. 86AYUCh. 10.5 - The sum formula for the sine function is sin( A+B...Ch. 10.5 - The Double-angle Formula for the sine function is...Ch. 10.5 - If is acute, the Half-angle Formula for the sine...Ch. 10.5 - If is acute, the Half-angle Formula for the...Ch. 10.5 - To transform the equation A x 2 +Bxy+C y 2...Ch. 10.5 - Except for degenerate cases, the equation A x 2...Ch. 10.5 - Except for degenerate cases, the equation A x 2...Ch. 10.5 - Prob. 8AYUCh. 10.5 - Prob. 9AYUCh. 10.5 - Prob. 10AYUCh. 10.5 - Prob. 11AYUCh. 10.5 - Prob. 12AYUCh. 10.5 - Prob. 13AYUCh. 10.5 - Prob. 14AYUCh. 10.5 - Prob. 15AYUCh. 10.5 - Prob. 16AYUCh. 10.5 - Prob. 17AYUCh. 10.5 - Prob. 18AYUCh. 10.5 - Prob. 19AYUCh. 10.5 - Prob. 20AYUCh. 10.5 - Prob. 21AYUCh. 10.5 - Prob. 22AYUCh. 10.5 - Prob. 23AYUCh. 10.5 - Prob. 24AYUCh. 10.5 - Prob. 25AYUCh. 10.5 - Prob. 26AYUCh. 10.5 - Prob. 27AYUCh. 10.5 - Prob. 28AYUCh. 10.5 - Prob. 29AYUCh. 10.5 - Prob. 30AYUCh. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - Prob. 35AYUCh. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - In Problems 31-42, rotate the axes so that the new...Ch. 10.5 - Prob. 43AYUCh. 10.5 - Prob. 44AYUCh. 10.5 - Prob. 45AYUCh. 10.5 - Prob. 46AYUCh. 10.5 - Prob. 47AYUCh. 10.5 - Prob. 48AYUCh. 10.5 - Prob. 49AYUCh. 10.5 - Prob. 50AYUCh. 10.5 - Prob. 51AYUCh. 10.5 - Prob. 52AYUCh. 10.5 - Prob. 53AYUCh. 10.5 - Prob. 54AYUCh. 10.5 - Prob. 55AYUCh. 10.5 - Prob. 56AYUCh. 10.5 - Prob. 57AYUCh. 10.5 - Prob. 58AYUCh. 10.5 - Prob. 59AYUCh. 10.5 - Prob. 60AYUCh. 10.6 - Prob. 1AYUCh. 10.6 - Prob. 2AYUCh. 10.6 - Prob. 3AYUCh. 10.6 - Prob. 4AYUCh. 10.6 - Prob. 5AYUCh. 10.6 - Prob. 6AYUCh. 10.6 - Prob. 7AYUCh. 10.6 - Prob. 8AYUCh. 10.6 - Prob. 9AYUCh. 10.6 - Prob. 10AYUCh. 10.6 - Prob. 11AYUCh. 10.6 - Prob. 12AYUCh. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - Prob. 16AYUCh. 10.6 - Prob. 17AYUCh. 10.6 - Prob. 18AYUCh. 10.6 - Prob. 19AYUCh. 10.6 - In Problems 13-24, analyze each equation and graph...Ch. 10.6 - Prob. 21AYUCh. 10.6 - Prob. 22AYUCh. 10.6 - Prob. 23AYUCh. 10.6 - Prob. 24AYUCh. 10.6 - Prob. 25AYUCh. 10.6 - Prob. 26AYUCh. 10.6 - Prob. 27AYUCh. 10.6 - Prob. 28AYUCh. 10.6 - Prob. 29AYUCh. 10.6 - Prob. 30AYUCh. 10.6 - Prob. 31AYUCh. 10.6 - Prob. 32AYUCh. 10.6 - Prob. 33AYUCh. 10.6 - Prob. 34AYUCh. 10.6 - Prob. 35AYUCh. 10.6 - Prob. 36AYUCh. 10.6 - Prob. 37AYUCh. 10.6 - Prob. 38AYUCh. 10.6 - Prob. 39AYUCh. 10.6 - Prob. 40AYUCh. 10.6 - Prob. 41AYUCh. 10.6 - Prob. 42AYUCh. 10.6 - Prob. 43AYUCh. 10.6 - Prob. 44AYUCh. 10.6 - Prob. 45AYUCh. 10.6 - Prob. 46AYUCh. 10.7 - The function f( x )=3sin( 4x ) has amplitude...Ch. 10.7 - Prob. 2AYUCh. 10.7 - Prob. 3AYUCh. 10.7 - Prob. 4AYUCh. 10.7 - Prob. 5AYUCh. 10.7 - Prob. 6AYUCh. 10.7 - In Problems graph the plane curve whose parametric...Ch. 10.7 - Prob. 8AYUCh. 10.7 - Prob. 9AYUCh. 10.7 - Prob. 10AYUCh. 10.7 - Prob. 11AYUCh. 10.7 - Prob. 12AYUCh. 10.7 - Prob. 13AYUCh. 10.7 - Prob. 14AYUCh. 10.7 - Prob. 15AYUCh. 10.7 - Prob. 16AYUCh. 10.7 - Prob. 17AYUCh. 10.7 - Prob. 18AYUCh. 10.7 - In Problems 726, graph the plane curve whose...Ch. 10.7 - Prob. 20AYUCh. 10.7 - Prob. 21AYUCh. 10.7 - In Problems graph the plane curve whose parametric...Ch. 10.7 - In Problems graph the plane curve whose parametric...Ch. 10.7 - Prob. 24AYUCh. 10.7 - Prob. 25AYUCh. 10.7 - Prob. 26AYUCh. 10.7 - Prob. 27AYUCh. 10.7 - Prob. 28AYUCh. 10.7 - Prob. 29AYUCh. 10.7 - Prob. 30AYUCh. 10.7 - Prob. 31AYUCh. 10.7 - Prob. 32AYUCh. 10.7 - Prob. 33AYUCh. 10.7 - Prob. 34AYUCh. 10.7 - Prob. 35AYUCh. 10.7 - Prob. 36AYUCh. 10.7 - Prob. 37AYUCh. 10.7 - Prob. 38AYUCh. 10.7 - Prob. 39AYUCh. 10.7 - In Problems 39-42, find parametric equations for...Ch. 10.7 - Prob. 41AYUCh. 10.7 - Prob. 42AYUCh. 10.7 - Prob. 43AYUCh. 10.7 - Prob. 44AYUCh. 10.7 - In Problems 45-48, use a graphing utility to graph...Ch. 10.7 - Prob. 46AYUCh. 10.7 - Prob. 47AYUCh. 10.7 - Prob. 48AYUCh. 10.7 - Prob. 49AYUCh. 10.7 - Prob. 50AYUCh. 10.7 - Catching a Train Bill’s train leaves at 8:06 AM...Ch. 10.7 - Prob. 52AYUCh. 10.7 - Prob. 53AYUCh. 10.7 - Prob. 54AYUCh. 10.7 - Prob. 55AYUCh. 10.7 - Prob. 56AYUCh. 10.7 - Prob. 57AYUCh. 10.7 - Uniform Motion A Cessna (heading south at mph)...Ch. 10.7 - The Green Monster The left field wall at Fenway...Ch. 10.7 - Prob. 60AYUCh. 10.7 - Prob. 61AYUCh. 10.7 - Prob. 62AYUCh. 10.7 - Prob. 63AYUCh. 10.7 - Prob. 64AYUCh. 10 - Prob. 1RECh. 10 - Prob. 2RECh. 10 - Prob. 3RECh. 10 - Prob. 4RECh. 10 - Prob. 5RECh. 10 - Prob. 6RECh. 10 - Prob. 7RECh. 10 - Prob. 8RECh. 10 - Prob. 9RECh. 10 - Prob. 10RECh. 10 - Prob. 11RECh. 10 - Prob. 12RECh. 10 - Prob. 13RECh. 10 - Prob. 14RECh. 10 - Prob. 15RECh. 10 - Prob. 16RECh. 10 - Prob. 17RECh. 10 - Prob. 18RECh. 10 - Prob. 19RECh. 10 - Prob. 20RECh. 10 - Prob. 21RECh. 10 - Prob. 22RECh. 10 - Prob. 23RECh. 10 - Prob. 24RECh. 10 - Prob. 25RECh. 10 - Prob. 26RECh. 10 - Prob. 27RECh. 10 - Prob. 28RECh. 10 - Prob. 29RECh. 10 - Prob. 30RECh. 10 - Prob. 31RECh. 10 - Prob. 32RECh. 10 - Prob. 33RECh. 10 - Prob. 34RECh. 10 - Prob. 35RECh. 10 - Prob. 36RECh. 10 - Prob. 37RECh. 10 - Prob. 38RECh. 10 - Prob. 39RECh. 10 - Prob. 40RECh. 10 - Prob. 41RECh. 10 - Prob. 42RECh. 10 - Prob. 43RECh. 10 - Prob. 44RECh. 10 - Prob. 45RECh. 10 - Prob. 46RECh. 10 - Prob. 47RECh. 10 - Prob. 48RECh. 10 - Prob. 49RECh. 10 - Prob. 50RECh. 10 - Prob. 51RECh. 10 - Prob. 52RECh. 10 - Prob. 53RECh. 10 - Prob. 54RECh. 10 - Prob. 55RECh. 10 - Prob. 56RECh. 10 - Prob. 57RECh. 10 - Prob. 58RECh. 10 - Prob. 59RECh. 10 - Prob. 60RECh. 10 - Prob. 61RECh. 10 - Prob. 62RECh. 10 - Prob. 63RECh. 10 - Prob. 64RECh. 10 - Prob. 65RECh. 10 - Prob. 66RECh. 10 - Prob. 67RECh. 10 - Prob. 68RECh. 10 - Prob. 69RECh. 10 - Prob. 70RECh. 10 - Prob. 71RECh. 10 - Prob. 72RECh. 10 - Prob. 73RECh. 10 - Prob. 74RECh. 10 - Prob. 75RECh. 10 - Prob. 76RECh. 10 - Prob. 77RECh. 10 - Prob. 78RECh. 10 - Prob. 79RECh. 10 - Prob. 80RECh. 10 - Prob. 81RECh. 10 - Prob. 82RECh. 10 - Prob. 83RECh. 10 - Prob. 84RECh. 10 - In Problems 13, identify each equation. If it is a...Ch. 10 - In Problems 13, identify each equation. If it is a...Ch. 10 - In Problems identify each equation. If it is a...Ch. 10 - In Problems 46, find an equation of the conic...Ch. 10 - In Problems find an equation of the conic...Ch. 10 - In Problems find an equation of the conic...Ch. 10 - In Problems 79, identify each conic without...Ch. 10 - In Problems 79, identify each conic without...Ch. 10 - In Problems identify each conic without completing...Ch. 10 - Prob. 10CTCh. 10 - Prob. 11CTCh. 10 - Prob. 12CTCh. 10 - A parabolic reflector (paraboloid of revolution)...Ch. 10 - For find Ch. 10 - In the complex number system, solve the equation ...Ch. 10 - For what numbers x is 6xx2 ?Ch. 10 - Prob. 4CRCh. 10 - Prob. 5CRCh. 10 - Prob. 6CRCh. 10 - Prob. 7CRCh. 10 - Prob. 8CRCh. 10 - Prob. 9CRCh. 10 - Prob. 10CRCh. 10 - Solve the equation where. Ch. 10 - Find the rectangle equation of the plane curve...

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