Explanation Given Information: Gun is at G ( − 800 , 0 ) , and target is at T ( 800 , 0 ) . Muzzle velocity of bullet is 2000 feet per second, and the speed of sound is 1100 feet per second. The person P hears the crack of gun and thud of bullet at the same time. Calculation: Let the velocity of bullet is constant through out is path. So, the time taken by the bullet to reach target is, = 1600 2000 = 4 5 sec Let d 1 be the distance of person from the gun position, and d 2 be the distance of person from thr target. Then, d 1 1100 = 4 5 + d 2 1100 ⇒ d 1 = 4 5 × 1100 + d 2 ⇒ d 1 − d 2 = 880 From this calculation, the difference between the distances of person from gun point and target is a constant. So, the possible locations of the person are on a hyperbola. Let x and y are the points on this hyperbola, d 1 − d 2 = 880 ⇒ ( x − ( − 800 ) ) 2 + ( y − 0 ) 2 − ( x − 800 ) 2 + ( y − 0 ) 2 = 880 ( x + 800 ) 2 + y 2 − ( x − 800 ) 2 + y 2 = 880 ( x + 800 ) 2 + y 2 = 880 + ( x − 800 ) 2 + y 2 ( x + 800 ) 2 + y 2 = 880 2 + 2 × 880 ( x − 800 ) 2 + y 2 + ( x − 800 ) 2 + y 2 2 × 800 x =<

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ISBN: 9780134696485

Author: Ratti, J. S., Mcwaters, Marcus, Skrzypek, Lesław

Publisher: Pearson,

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

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Chapter 7.4, Problem 84E

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Show that the possible locations of the person are on hyperbola, and the equation for that hyperbola.

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Chapter 7.4, Problem 83E

Chapter 7.4, Problem 85E

Chapter 7 Solutions

College Algebra

Ch. 7.2 - Prob. 1E Ch. 7.2 - Prob. 2E Ch. 7.2 - Prob. 3E Ch. 7.2 - Prob. 4E Ch. 7.2 - Prob. 5E Ch. 7.2 - Prob. 6E Ch. 7.2 - Prob. 7E Ch. 7.2 - Prob. 8E Ch. 7.2 - Prob. 9E Ch. 7.2 - Prob. 10E

Ch. 7.2 - Prob. 11E Ch. 7.2 - Prob. 12E Ch. 7.2 - Prob. 13E Ch. 7.2 - Prob. 14E Ch. 7.2 - Prob. 15E Ch. 7.2 - Prob. 16E Ch. 7.2 - Prob. 17E Ch. 7.2 - Prob. 18E Ch. 7.2 - Prob. 19E Ch. 7.2 - Prob. 20E Ch. 7.2 - Prob. 21E Ch. 7.2 - Prob. 22E Ch. 7.2 - Prob. 23E Ch. 7.2 - Prob. 24E Ch. 7.2 - Prob. 25E Ch. 7.2 - Prob. 26E Ch. 7.2 - Prob. 27E Ch. 7.2 - Prob. 28E Ch. 7.2 - Prob. 29E Ch. 7.2 - Prob. 30E Ch. 7.2 - Prob. 31E Ch. 7.2 - Prob. 32E Ch. 7.2 - Prob. 33E Ch. 7.2 - Prob. 34E Ch. 7.2 - Prob. 35E Ch. 7.2 - Prob. 36E Ch. 7.2 - Prob. 37E Ch. 7.2 - Prob. 38E Ch. 7.2 - Prob. 39E Ch. 7.2 - Prob. 40E Ch. 7.2 - Prob. 41E Ch. 7.2 - Prob. 42E Ch. 7.2 - Prob. 43E Ch. 7.2 - Prob. 44E Ch. 7.2 - Prob. 45E Ch. 7.2 - Prob. 46E Ch. 7.2 - Prob. 47E Ch. 7.2 - Prob. 48E Ch. 7.2 - Prob. 49E Ch. 7.2 - Prob. 50E Ch. 7.2 - Prob. 51E Ch. 7.2 - Prob. 52E Ch. 7.2 - Prob. 53E Ch. 7.2 - Prob. 54E Ch. 7.2 - Prob. 55E Ch. 7.2 - Prob. 56E Ch. 7.2 - Prob. 57E Ch. 7.2 - Prob. 58E Ch. 7.2 - Prob. 59E Ch. 7.2 - Prob. 60E Ch. 7.2 - Prob. 61E Ch. 7.2 - Prob. 62E Ch. 7.2 - Prob. 63E Ch. 7.2 - Prob. 64E Ch. 7.2 - Prob. 65E Ch. 7.2 - Prob. 66E Ch. 7.2 - Prob. 67E Ch. 7.2 - Prob. 68E Ch. 7.2 - Prob. 69E Ch. 7.2 - Prob. 70E Ch. 7.2 - Solar heating. A parabolic reflector mirror is to...Ch. 7.2 - Prob. 72E Ch. 7.2 - Flashlight. The shape of a parabolic flashlight...Ch. 7.2 - Flashlight. Repeat Exercise 73, assuming that the...Ch. 7.2 - Satellite dish. The of a parabolic satellite dish...Ch. 7.2 - Prob. 76E Ch. 7.2 - Prob. 77E Ch. 7.2 - Prob. 78E Ch. 7.2 - Prob. 79E Ch. 7.2 - Prob. 80E Ch. 7.2 - Prob. 81E Ch. 7.2 - Prob. 82E Ch. 7.2 - Prob. 83E Ch. 7.2 - Prob. 84E Ch. 7.2 - Prob. 85E Ch. 7.2 - Prob. 86E Ch. 7.2 - Prob. 87E Ch. 7.2 - Prob. 88E Ch. 7.2 - Prob. 89E Ch. 7.2 - Prob. 90E Ch. 7.2 - Prob. 91E Ch. 7.2 - Prob. 92E Ch. 7.2 - Prob. 93E Ch. 7.2 - Prob. 94E Ch. 7.2 - Prob. 95E Ch. 7.2 - Prob. 96E Ch. 7.2 - Prob. 97E Ch. 7.2 - Prob. 98E Ch. 7.2 - Prob. 99E Ch. 7.2 - Prob. 100E Ch. 7.2 - Prob. 101E Ch. 7.2 - Prob. 102E Ch. 7.2 - Prob. 103E Ch. 7.2 - Prob. 104E Ch. 7.2 - Prob. 105E Ch. 7.2 - Prob. 106E Ch. 7.2 - Prob. 107E Ch. 7.2 - Prob. 108E Ch. 7.2 - Prob. 109E Ch. 7.2 - Prob. 110E Ch. 7.3 - Prob. 1E Ch. 7.3 - Prob. 2E Ch. 7.3 - Prob. 3E Ch. 7.3 - Prob. 4E Ch. 7.3 - 5. True or False. The ellipse lies inside the box...Ch. 7.3 - Prob. 6E Ch. 7.3 - Prob. 7E Ch. 7.3 - Prob. 8E Ch. 7.3 - Prob. 9E Ch. 7.3 - Prob. 10E Ch. 7.3 - Prob. 11E Ch. 7.3 - Prob. 12E Ch. 7.3 - Prob. 13E Ch. 7.3 - Prob. 14E Ch. 7.3 - Prob. 15E Ch. 7.3 - Prob. 16E Ch. 7.3 - Prob. 17E Ch. 7.3 - Prob. 18E Ch. 7.3 - Prob. 19E Ch. 7.3 - Prob. 20E Ch. 7.3 - Prob. 21E Ch. 7.3 - Prob. 22E Ch. 7.3 - Prob. 23E Ch. 7.3 - Prob. 24E Ch. 7.3 - Prob. 25E Ch. 7.3 - Prob. 26E Ch. 7.3 - Prob. 27E Ch. 7.3 - Prob. 28E Ch. 7.3 - Prob. 29E Ch. 7.3 - Prob. 30E Ch. 7.3 - Prob. 31E Ch. 7.3 - In Exercises 23—42, find the vertices and foci for...Ch. 7.3 - Prob. 33E Ch. 7.3 - Prob. 34E Ch. 7.3 - Prob. 35E Ch. 7.3 - Prob. 36E Ch. 7.3 - Prob. 37E Ch. 7.3 - Prob. 38E Ch. 7.3 - Prob. 39E Ch. 7.3 - Prob. 40E Ch. 7.3 - Prob. 41E Ch. 7.3 - Prob. 42E Ch. 7.3 - Prob. 43E Ch. 7.3 - Prob. 44E Ch. 7.3 - Prob. 45E Ch. 7.3 - Prob. 46E Ch. 7.3 - Prob. 47E Ch. 7.3 - Prob. 48E Ch. 7.3 - Prob. 49E Ch. 7.3 - Prob. 50E Ch. 7.3 - Prob. 51E Ch. 7.3 - Prob. 52E Ch. 7.3 - Prob. 53E Ch. 7.3 - Prob. 54E Ch. 7.3 - Prob. 55E Ch. 7.3 - Prob. 56E Ch. 7.3 - Prob. 57E Ch. 7.3 - Prob. 58E Ch. 7.3 - Prob. 59E Ch. 7.3 - Prob. 60E Ch. 7.3 - Prob. 61E Ch. 7.3 - Prob. 62E Ch. 7.3 - Prob. 63E Ch. 7.3 - Prob. 64E Ch. 7.3 - Prob. 65E Ch. 7.3 - Prob. 66E Ch. 7.3 - Prob. 67E Ch. 7.3 - Prob. 68E Ch. 7.3 - Prob. 69E Ch. 7.3 - Prob. 70E Ch. 7.3 - Prob. 71E Ch. 7.3 - Prob. 72E Ch. 7.3 - Prob. 73E Ch. 7.3 - Prob. 74E Ch. 7.3 - Prob. 75E Ch. 7.3 - Prob. 76E Ch. 7.3 - Prob. 77E Ch. 7.3 - Prob. 78E Ch. 7.3 - Prob. 79E Ch. 7.3 - Prob. 80E Ch. 7.3 - Prob. 81E Ch. 7.3 - Prob. 82E Ch. 7.3 - Prob. 83E Ch. 7.3 - Prob. 84E Ch. 7.3 - Prob. 85E Ch. 7.3 - Prob. 86E Ch. 7.3 - Prob. 87E Ch. 7.3 - Prob. 88E Ch. 7.3 - Prob. 89E Ch. 7.3 - Prob. 90E Ch. 7.3 - Prob. 91E Ch. 7.3 - Prob. 92E Ch. 7.3 - Prob. 93E Ch. 7.3 - Prob. 94E Ch. 7.3 - Prob. 95E Ch. 7.3 - Prob. 96E Ch. 7.3 - Prob. 97E Ch. 7.3 - Prob. 98E Ch. 7.3 - Prob. 99E Ch. 7.3 - Prob. 100E Ch. 7.3 - Prob. 101E Ch. 7.3 - Prob. 102E Ch. 7.3 - Prob. 103E Ch. 7.3 - Prob. 104E Ch. 7.3 - Prob. 105E Ch. 7.3 - Prob. 106E Ch. 7.3 - Prob. 107E Ch. 7.3 - Prob. 108E Ch. 7.3 - Prob. 109E Ch. 7.3 - Prob. 110E Ch. 7.3 - Prob. 111E Ch. 7.3 - Prob. 112E Ch. 7.3 - Prob. 113E Ch. 7.3 - Prob. 114E Ch. 7.3 - Prob. 115E Ch. 7.3 - Prob. 116E Ch. 7.3 - Prob. 117E Ch. 7.3 - Prob. 118E Ch. 7.3 - Prob. 119E Ch. 7.3 - Prob. 120E Ch. 7.3 - Prob. 121E Ch. 7.3 - Prob. 122E Ch. 7.3 - Prob. 123E Ch. 7.3 - Prob. 124E Ch. 7.4 - Prob. 1E Ch. 7.4 - Prob. 2E Ch. 7.4 - Prob. 3E Ch. 7.4 - Prob. 4E Ch. 7.4 - Prob. 5E Ch. 7.4 - Prob. 6E Ch. 7.4 - Prob. 7E Ch. 7.4 - Prob. 8E Ch. 7.4 - Prob. 9E Ch. 7.4 - Prob. 10E Ch. 7.4 - Prob. 11E Ch. 7.4 - Prob. 12E Ch. 7.4 - Prob. 13E Ch. 7.4 - Prob. 14E Ch. 7.4 - Prob. 15E Ch. 7.4 - Prob. 16E Ch. 7.4 - Prob. 17E Ch. 7.4 - Prob. 18E Ch. 7.4 - Prob. 19E Ch. 7.4 - Prob. 20E Ch. 7.4 - Prob. 21E Ch. 7.4 - Prob. 22E Ch. 7.4 - Prob. 23E Ch. 7.4 - Prob. 24E Ch. 7.4 - Prob. 25E Ch. 7.4 - Prob. 26E Ch. 7.4 - In Exercises 17-28, the equation of a hyperbola is...Ch. 7.4 - Prob. 28E Ch. 7.4 - Prob. 29E Ch. 7.4 - Prob. 30E Ch. 7.4 - Prob. 31E Ch. 7.4 - Prob. 32E Ch. 7.4 - Prob. 33E Ch. 7.4 - Prob. 34E Ch. 7.4 - Prob. 35E Ch. 7.4 - Prob. 36E Ch. 7.4 - Prob. 37E Ch. 7.4 - Prob. 38E Ch. 7.4 - Prob. 39E Ch. 7.4 - Prob. 40E Ch. 7.4 - Prob. 41E Ch. 7.4 - Prob. 42E Ch. 7.4 - Prob. 43E Ch. 7.4 - Prob. 44E Ch. 7.4 - Prob. 45E Ch. 7.4 - Prob. 46E Ch. 7.4 - Prob. 47E Ch. 7.4 - Prob. 48E Ch. 7.4 - Prob. 49E Ch. 7.4 - Prob. 50E Ch. 7.4 - Prob. 51E Ch. 7.4 - Prob. 52E Ch. 7.4 - Prob. 53E Ch. 7.4 - Prob. 54E Ch. 7.4 - Prob. 55E Ch. 7.4 - Prob. 56E Ch. 7.4 - Prob. 57E Ch. 7.4 - Prob. 58E Ch. 7.4 - Prob. 59E Ch. 7.4 - Prob. 60E Ch. 7.4 - Prob. 61E Ch. 7.4 - Prob. 62E Ch. 7.4 - Prob. 63E Ch. 7.4 - Prob. 64E Ch. 7.4 - Prob. 65E Ch. 7.4 - Prob. 66E Ch. 7.4 - Prob. 67E Ch. 7.4 - Prob. 68E Ch. 7.4 - Prob. 69E Ch. 7.4 - Prob. 70E Ch. 7.4 - Prob. 71E Ch. 7.4 - Prob. 72E Ch. 7.4 - Prob. 73E Ch. 7.4 - Prob. 74E Ch. 7.4 - Prob. 75E Ch. 7.4 - Prob. 76E Ch. 7.4 - Prob. 77E Ch. 7.4 - Prob. 78E Ch. 7.4 - Prob. 79E Ch. 7.4 - Prob. 80E Ch. 7.4 - Prob. 81E Ch. 7.4 - Prob. 82E Ch. 7.4 - Prob. 83E Ch. 7.4 - Prob. 84E Ch. 7.4 - Prob. 85E Ch. 7.4 - Using LORAN. LORAN navigational transmitters A, B,...Ch. 7.4 - Prob. 87E Ch. 7.4 - Prob. 88E Ch. 7.4 - Prob. 89E Ch. 7.4 - Prob. 90E Ch. 7.4 - Prob. 91E Ch. 7.4 - Prob. 92E Ch. 7.4 - Prob. 93E Ch. 7.4 - Prob. 94E Ch. 7.4 - Prob. 95E Ch. 7.4 - Prob. 96E Ch. 7.4 - Prob. 97E Ch. 7.4 - Prob. 98E Ch. 7.4 - Prob. 99E Ch. 7.4 - Prob. 100E Ch. 7.4 - Prob. 101E Ch. 7.4 - Prob. 102E Ch. 7.4 - Prob. 103E Ch. 7.4 - Prob. 104E Ch. 7.4 - Prob. 105E Ch. 7.4 - Prob. 106E Ch. 7.4 - Prob. 107E Ch. 7.4 - Prob. 108E Ch. 7.4 - Prob. 109E Ch. 7.4 - Prob. 110E Ch. 7.4 - Prob. 111E Ch. 7.4 - Prob. 112E Ch. 7.4 - Prob. 113E Ch. 7.4 - Prob. 114E Ch. 7.4 - Explain why each of the following represents a...Ch. 7.4 - Prob. 116E Ch. 7.4 - Prob. 117E Ch. 7.4 - Prob. 118E Ch. 7.4 - Prob. 119E Ch. 7.4 - Prob. 120E Ch. 7.4 - Prob. 121E Ch. 7.4 - Prob. 122E Ch. 7.4 - Prob. 123E Ch. 7.4 - Prob. 124E Ch. 7.4 - Prob. 125E Ch. 7.4 - Prob. 126E Ch. 7.4 - Prob. 127E Ch. 7.4 - Prob. 128E Ch. 7 - Prob. 1RE Ch. 7 - Prob. 2RE Ch. 7 - Prob. 3RE Ch. 7 - Prob. 4RE Ch. 7 - Prob. 5RE Ch. 7 - Prob. 6RE Ch. 7 - Prob. 7RE Ch. 7 - Prob. 8RE Ch. 7 - Prob. 9RE Ch. 7 - Prob. 10RE Ch. 7 - Prob. 11RE Ch. 7 - Prob. 12RE Ch. 7 - Prob. 13RE Ch. 7 - Prob. 14RE Ch. 7 - Prob. 15RE Ch. 7 - Prob. 16RE Ch. 7 - Prob. 17RE Ch. 7 - Prob. 18RE Ch. 7 - Prob. 19RE Ch. 7 - Prob. 20RE Ch. 7 - Prob. 21RE Ch. 7 - Prob. 22RE Ch. 7 - In Exercises 21-24, find an equation of the...Ch. 7 - Prob. 24RE Ch. 7 - Prob. 25RE Ch. 7 - Prob. 26RE Ch. 7 - Prob. 27RE Ch. 7 - Prob. 28RE Ch. 7 - Prob. 29RE Ch. 7 - Prob. 30RE Ch. 7 - Prob. 31RE Ch. 7 - Prob. 32RE Ch. 7 - Prob. 33RE Ch. 7 - In Exercises 33-36, find an equation of the...Ch. 7 - Prob. 35RE Ch. 7 - Prob. 36RE Ch. 7 - Prob. 37RE Ch. 7 - Prob. 38RE Ch. 7 - Prob. 39RE Ch. 7 - Prob. 40RE Ch. 7 - Prob. 41RE Ch. 7 - Prob. 42RE Ch. 7 - Prob. 43RE Ch. 7 - Prob. 44RE Ch. 7 - Prob. 45RE Ch. 7 - Prob. 46RE Ch. 7 - Prob. 47RE Ch. 7 - Prob. 48RE Ch. 7 - Prob. 49RE Ch. 7 - Prob. 50RE Ch. 7 - Prob. 51RE Ch. 7 - Prob. 52RE Ch. 7 - Prob. 53RE Ch. 7 - Prob. 54RE Ch. 7 - Prob. 55RE Ch. 7 - Parabolic arch. A parabolic arch has a height of...Ch. 7 - Prob. 57RE Ch. 7 - Prob. 58RE Ch. 7 - Prob. 1PTA Ch. 7 - Prob. 2PTA Ch. 7 - Prob. 3PTA Ch. 7 - Prob. 4PTA Ch. 7 - Prob. 5PTA Ch. 7 - Prob. 6PTA Ch. 7 - Prob. 7PTA Ch. 7 - Prob. 8PTA Ch. 7 - Prob. 9PTA Ch. 7 - Prob. 10PTA Ch. 7 - Prob. 11PTA Ch. 7 - Prob. 12PTA Ch. 7 - Prob. 13PTA Ch. 7 - Prob. 14PTA Ch. 7 - Prob. 15PTA Ch. 7 - Prob. 16PTA Ch. 7 - Prob. 17PTA Ch. 7 - Prob. 18PTA Ch. 7 - Prob. 19PTA Ch. 7 - Prob. 20PTA Ch. 7 - Prob. 1PTB Ch. 7 - Prob. 2PTB Ch. 7 - Prob. 3PTB Ch. 7 - Prob. 4PTB Ch. 7 - Prob. 5PTB Ch. 7 - Prob. 6PTB Ch. 7 - Prob. 7PTB Ch. 7 - Prob. 8PTB Ch. 7 - Prob. 9PTB Ch. 7 - Prob. 10PTB Ch. 7 - Prob. 11PTB Ch. 7 - Prob. 12PTB Ch. 7 - Prob. 13PTB Ch. 7 - Prob. 14PTB Ch. 7 - Prob. 15PTB Ch. 7 - Prob. 16PTB Ch. 7 - Prob. 17PTB Ch. 7 - Prob. 18PTB Ch. 7 - Prob. 19PTB Ch. 7 - Prob. 20PTB Ch. 7 - Prob. 1CRE Ch. 7 - Prob. 2CRE Ch. 7 - Prob. 3CRE Ch. 7 - Prob. 4CRE Ch. 7 - Prob. 5CRE Ch. 7 - Prob. 6CRE Ch. 7 - Prob. 7CRE Ch. 7 - Prob. 8CRE Ch. 7 - Prob. 9CRE Ch. 7 - Prob. 10CRE Ch. 7 - Prob. 11CRE Ch. 7 - Prob. 12CRE Ch. 7 - Prob. 13CRE Ch. 7 - Prob. 14CRE Ch. 7 - Prob. 15CRE Ch. 7 - Prob. 16CRE Ch. 7 - Prob. 17CRE Ch. 7 - Prob. 18CRE Ch. 7 - In Problems 18-20, an equation of a conic section...Ch. 7 - Prob. 20CRE

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