(a) To find: Using the result from Regiomontanus’ problem when the line is outside the goalposts, the optimal location to kick the rugby ball lies on the following hyperbola. x 2 - y 2 = 9.25 2

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Answer 1

Question

Chapter 6.3, Problem 58E

To determine

(a)

To find:

Using the result from Regiomontanus’ problem when the line is outside the goalposts, the optimal location to kick the rugby ball lies on the following hyperbola.

x2-y2=9.252

To determine

(b)

To find:

If the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far from the goal line should the ball be placed to maximize angle θ.

To determine

(c)

To find:

Rugby players find it easier to kick the ball from the hyperbola’s asymptote. When the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far will this point differ from the exact optimal location.

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Answer 2

Question

Chapter 6.3, Problem 58E

To determine

(a)

To find:

Using the result from Regiomontanus’ problem when the line is outside the goalposts, the optimal location to kick the rugby ball lies on the following hyperbola.

x2-y2=9.252

To determine

(b)

To find:

If the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far from the goal line should the ball be placed to maximize angle θ.

To determine

(c)

To find:

Rugby players find it easier to kick the ball from the hyperbola’s asymptote. When the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far will this point differ from the exact optimal location.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 6.3, Problem 58E

To determine

(a)

To find:

Using the result from Regiomontanus’ problem when the line is outside the goalposts, the optimal location to kick the rugby ball lies on the following hyperbola.

x2-y2=9.252

To determine

(b)

To find:

If the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far from the goal line should the ball be placed to maximize angle θ.

To determine

(c)

To find:

Rugby players find it easier to kick the ball from the hyperbola’s asymptote. When the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far will this point differ from the exact optimal location.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 6.3, Problem 58E

To determine

(a)

To find:

Using the result from Regiomontanus’ problem when the line is outside the goalposts, the optimal location to kick the rugby ball lies on the following hyperbola.

x2-y2=9.252

To determine

(b)

To find:

If the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far from the goal line should the ball be placed to maximize angle θ.

To determine

(c)

To find:

Rugby players find it easier to kick the ball from the hyperbola’s asymptote. When the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far will this point differ from the exact optimal location.

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 6.3, Problem 58E

To determine

(a)

To find:

Using the result from Regiomontanus’ problem when the line is outside the goalposts, the optimal location to kick the rugby ball lies on the following hyperbola.

x2-y2=9.252

To determine

(b)

To find:

If the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far from the goal line should the ball be placed to maximize angle θ.

To determine

(c)

To find:

Rugby players find it easier to kick the ball from the hyperbola’s asymptote. When the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far will this point differ from the exact optimal location.

Answer 6

Chapter 6.3, Problem 58E

To determine

(a)

To find:

Using the result from Regiomontanus’ problem when the line is outside the goalposts, the optimal location to kick the rugby ball lies on the following hyperbola.

x2-y2=9.252

Answer 7

Chapter 6.3, Problem 58E

To determine

(a)

To find:

Using the result from Regiomontanus’ problem when the line is outside the goalposts, the optimal location to kick the rugby ball lies on the following hyperbola.

x2-y2=9.252

Answer 8

To determine

(b)

To find:

If the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far from the goal line should the ball be placed to maximize angle θ.

Answer 9

To determine

(b)

To find:

If the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far from the goal line should the ball be placed to maximize angle θ.

Answer 10

To determine

(c)

To find:

Rugby players find it easier to kick the ball from the hyperbola’s asymptote. When the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far will this point differ from the exact optimal location.

Answer 11

To determine

(c)

To find:

Rugby players find it easier to kick the ball from the hyperbola’s asymptote. When the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far will this point differ from the exact optimal location.

Answer 12

Expert Solution & Answer

Answer 13

Expert Solution & Answer

Answer 14

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Answer 15

Ch. 6.1 - Prob. 1E Ch. 6.1 - Prob. 2E Ch. 6.1 - Prob. 3E Ch. 6.1 - Prob. 4E Ch. 6.1 - Prob. 5E Ch. 6.1 - Prob. 6E Ch. 6.1 - Prob. 7E Ch. 6.1 - Prob. 8E Ch. 6.1 - Prob. 9E Ch. 6.1 - Prob. 10E

(a) To find: Using the result from Regiomontanus’ problem when the line is outside the goalposts, the optimal location to kick the rugby ball lies on the following hyperbola. x 2 - y 2 = 9.25 2

(a) To find: Using the result from Regiomontanus’ problem when the line is outside the goalposts, the optimal location to kick the rugby ball lies on the following hyperbola. x2-y2=9.252

(b) To find: If the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far from the goal line should the ball be placed to maximize angle θ.

(c) To find: Rugby players find it easier to kick the ball from the hyperbola’s asymptote. When the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far will this point differ from the exact optimal location.

Want to see the full answer?

Chapter 6 Solutions

(a)

To find:

Using the result from Regiomontanus’ problem when the line is outside the goalposts, the optimal location to kick the rugby ball lies on the following hyperbola.

x2-y2=9.252

(b)

To find:

If the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far from the goal line should the ball be placed to maximize angle θ.

(c)

To find:

Rugby players find it easier to kick the ball from the hyperbola’s asymptote. When the line on which the ball must be kicked is 10 ft to the right of the goalpost, how far will this point differ from the exact optimal location.