The approximate solution of Laplace’s equation at the interior points of the region u ( 0 , y ) = 108 y 2 ( 1 − y ) , u ( 1 , y ) = 0 , 0 < y < 1 u ( x , 0 ) = 0 , u ( x , 1 ) = 0 , 0 < x < 1 .

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Answer 1

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Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

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8.4.4 The Arizona Department of Transportation wishes to survey state residents to determine what proportion of the population would like to increase statewide highway speed limits from 65 mph to 75 mph. How many residents does the department need to survey if it wants to be at least 99% confident that the sample proportion is within 0.05 of the true proportion? 8.4.5 The U.S. Postal Service (USPS) has used optical character recognition (OCR) since the mid-1960s. In 1983, USPS began deploying the technology to major post offices throughout the country (www.britannica.com). Suppose that in a random sample of 500 handwritten zip code digits, 466 were read correctly. a. Construct a 95% confidence interval for the true proportion of correct digits that can be automatically read. b. What sample size is needed to reduce the margin of error to 1%? c. How would the answer to part (b) change if you had to assume that the machine read only one-half of the digits correctly?

Answer questions 8S7 and 8S14

Answer questions 8.2.9 and 8.2.10 respectively

Answer 2

Question

Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

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Answer 3

Question

Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

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Answer 4

Question

Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

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Answer 5

Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

Answer 6

Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

Answer 7

Chapter 15.1, Problem 4E

To determine

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

Answer 8

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Answer 9

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Answer 10

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Answer 11

Ch. 15.1 - In Problems 14 use (5) to approximate the solution...Ch. 15.1 - Prob. 2E Ch. 15.1 - Prob. 3E Ch. 15.1 - Prob. 4E Ch. 15.1 - In Problems 5 and 6 use (6) and Gauss-Seidel...Ch. 15.1 - In Problems 5 and 6 use (6) and Gauss-Seidel...Ch. 15.1 - (a) In Problem 12 of Exercises 12.6 you solved a...Ch. 15.1 - Use the result in part (a) of Problem 7 to...Ch. 15 - Consider the boundary-value problem...Ch. 15 - Solve Problem 1 using mesh size . Use Gauss-Seidel...

The approximate solution of Laplace’s equation at the interior points of the region u ( 0 , y ) = 108 y 2 ( 1 − y ) , u ( 1 , y ) = 0 , 0 < y < 1 u ( x , 0 ) = 0 , u ( x , 1 ) = 0 , 0 < x < 1 .

Solution Summary: The author describes the five point approximation of Laplace's equation at the interior points of the region.

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The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

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Chapter 15 Solutions

The approximate solution of Laplace’s equation at the interior points of the region u ( 0 , y ) = 108 y 2 ( 1 − y ) , u ( 1 , y ) = 0 , 0 &lt; y &lt; 1 u ( x , 0 ) = 0 , u ( x , 1 ) = 0 , 0 &lt; x &lt; 1 .

Solution Summary: The author describes the five point approximation of Laplace's equation at the interior points of the region.

Videos

The approximate solution of Laplace’s equation at the interior points of the region u(0,y)=108y2(1−y), u(1,y)=0, 0<y<1u(x,0)=0, u(x,1)=0, 0<x<1.

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Chapter 15 Solutions

The approximate solution of Laplace’s equation at the interior points of the region u ( 0 , y ) = 108 y 2 ( 1 − y ) , u ( 1 , y ) = 0 , 0 < y < 1 u ( x , 0 ) = 0 , u ( x , 1 ) = 0 , 0 < x < 1 .