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Answer 1

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Chapter A.4, Problem 37E

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To find: The correct solution if the given solution is incorrect.

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Example 1 Solve the heat equation initial-boundary-value problem U₁ =3xx (2,0)=2(x-2), u(0,t) = u(x, t)=0.

4.96 The breaking strengths for 1-foot-square samples of a particular synthetic fabric are approximately normally distributed with a mean of 2,250 pounds per square inch (psi) and a standard deviation of 10.2 psi. Find the probability of selecting a 1-foot-square sample of material at random that on testing would have a breaking strength in excess of 2,265 psi.4.97 Refer to Exercise 4.96. Suppose that a new synthetic fabric has been developed that may have a different mean breaking strength. A random sample of 15 1-foot sections is obtained, and each section is tested for breaking strength. If we assume that the population standard deviation for the new fabric is identical to that for the old fabric, describe the sampling distribution forybased on random samples of 15 1-foot sections of new fabric

Each of the following statements is an attempt to show that a given series is convergent or divergent using the Comparison Test (NOT the Limit Comparison Test.) For each statement, enter C (for "correct") if the argument is valid, or enter | (for "incorrect") if any part of the argument is flawed. (Note: if the conclusion is true but the argument that led to it was wrong, you must enter I.) ☐ 1. For all n > 1, seriesΣ In(n) In(n) converges. 2, 1, arctan(n) the series arctan(n) n³ ☐ 4. For all n > 1, 123 converges. 1 n ln(n) series In(n) diverges. 2n . and the seriesΣconverges, so by the Comparison Test, 2, 3, and the series converges, so by the Comparison Test, the series-3 1 converges. ☐ 6. For all n > 2, In(n) >, and the series Σ converges, so by the Comparison Test, the seriesΣ In(n) converges.

Answer 2

Question

Chapter A.4, Problem 37E

(A)

To determine

To check: Whether the solution is correct and if wrong, explain how it can be corrected.

(B)

To determine

To find: The correct solution if the given solution is incorrect.

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Answer 3

Question

Chapter A.4, Problem 37E

(A)

To determine

To check: Whether the solution is correct and if wrong, explain how it can be corrected.

(B)

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To find: The correct solution if the given solution is incorrect.

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Answer 4

Question

Chapter A.4, Problem 37E

(A)

To determine

To check: Whether the solution is correct and if wrong, explain how it can be corrected.

(B)

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To find: The correct solution if the given solution is incorrect.

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Answer 5

Chapter A.4, Problem 37E

(A)

To determine

To check: Whether the solution is correct and if wrong, explain how it can be corrected.

(B)

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To find: The correct solution if the given solution is incorrect.

Answer 6

Chapter A.4, Problem 37E

(A)

To determine

To check: Whether the solution is correct and if wrong, explain how it can be corrected.

Answer 7

Chapter A.4, Problem 37E

(A)

To determine

To check: Whether the solution is correct and if wrong, explain how it can be corrected.

Answer 8

(B)

To determine

To find: The correct solution if the given solution is incorrect.

Answer 9

(B)

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To find: The correct solution if the given solution is incorrect.

Answer 10

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Answer 11

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Answer 12

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Answer 13

Ch. A.4 - Reduce each fraction to lowest terms....Ch. A.4 - Reduce each rational expression to lowest terms....Ch. A.4 - Prob. 3MP Ch. A.4 - Combine into a single fraction and reduce to...Ch. A.4 - Express as a simple fraction reduced to lowest...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 3E Ch. A.4 - In Problems 122, perform the indicated operations...Ch. A.4 - Prob. 5E

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Solution Summary: The author explains that the given solution is incorrect, since h is not a common factor in both numerator and denominator.

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Chapter A.4 Solutions