Five different elements of A = { m n ∈ Q | 3 | n } at most one of which is an integer.

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Answer 1

Question

Chapter 4.3, Problem 6E

(a)

To determine

Five different elements of A={mn∈Q|3|n} at most one of which is an integer.

(b)

To determine

To prove: That A={mn∈Q|3|n} is closed under addition.

(c)

To determine

To prove: That A={mn∈Q|3|n} is closed under multiplication.

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5. [-/1 Points] DETAILS MY NOTES SESSCALCET2 6.5.AE.003. y y= ex² 0 Video Example x EXAMPLE 3 (a) Use the Midpoint Rule with n = 10 to approximate the integral कर L'ex² dx. (b) Give an upper bound for the error involved in this approximation. SOLUTION 8+2 1 L'ex² d (a) Since a = 0, b = 1, and n = 10, the Midpoint Rule gives the following. (Round your answer to six decimal places.) dx Ax[f(0.05) + f(0.15) + ... + f(0.85) + f(0.95)] 0.1 [0.0025 +0.0225 + + e0.0625 + 0.1225 e0.3025 + e0.4225 + e0.2025 + + e0.5625 €0.7225 +0.9025] The figure illustrates this approximation. (b) Since f(x) = ex², we have f'(x) = 0 ≤ f'(x) = < 6e. ASK YOUR TEACHER and f'(x) = Also, since 0 ≤ x ≤ 1 we have x² ≤ and so Taking K = 6e, a = 0, b = 1, and n = 10 in the error estimate, we see that an upper bound for the error is as follows. (Round your final answer to five decimal places.) 6e(1)3 e 24( = ≈

1. Consider the following preference ballots: Number of voters Rankings 6 5 4 2 1st choice A DCB DC 2nd choice B B D 3rd choice DCBD 4th choice CA AAA For each of the four voting systems we have studied, determine who would win the election in each case. (Remember: For plurality with runoff, all but the top two vote-getters are simultaneously eliminated at the end of round 1.)

Practice k Help ises A 96 Anewer The probability that you get a sum of at least 10 is Determine the number of ways that the specified event can occur when two number cubes are rolled. 1. Getting a sum of 9 or 10 3. Getting a sum less than 5 2. Getting a sum of 6 or 7 4. Getting a sum that is odd Tell whether you would use the addition principle or the multiplication principle to determine the total number of possible outcomes for the situation described. 5. Rolling three number cubes 6. Getting a sum of 10 or 12 after rolling three number cubes A set of playing cards contains four groups of cards designated by color (black, red, yellow, and green) with cards numbered from 1 to 14 in each group. Determine the number of ways that the specified event can occur when a card is drawn from the set. 7. Drawing a 13 or 14 9. Drawing a number less than 4 8. Drawing a yellow or green card 10. Drawing a black, red, or green car The spinner is divided into equal parts. Find the specified…

Answer 2

Question

Chapter 4.3, Problem 6E

(a)

To determine

Five different elements of A={mn∈Q|3|n} at most one of which is an integer.

(b)

To determine

To prove: That A={mn∈Q|3|n} is closed under addition.

(c)

To determine

To prove: That A={mn∈Q|3|n} is closed under multiplication.

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Answer 3

Question

Chapter 4.3, Problem 6E

(a)

To determine

Five different elements of A={mn∈Q|3|n} at most one of which is an integer.

(b)

To determine

To prove: That A={mn∈Q|3|n} is closed under addition.

(c)

To determine

To prove: That A={mn∈Q|3|n} is closed under multiplication.

Expert Solution & Answer

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Answer 4

Question

Chapter 4.3, Problem 6E

(a)

To determine

Five different elements of A={mn∈Q|3|n} at most one of which is an integer.

(b)

To determine

To prove: That A={mn∈Q|3|n} is closed under addition.

(c)

To determine

To prove: That A={mn∈Q|3|n} is closed under multiplication.

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Answer 5

Chapter 4.3, Problem 6E

(a)

To determine

Five different elements of A={mn∈Q|3|n} at most one of which is an integer.

(b)

To determine

To prove: That A={mn∈Q|3|n} is closed under addition.

(c)

To determine

To prove: That A={mn∈Q|3|n} is closed under multiplication.

Answer 6

Chapter 4.3, Problem 6E

(a)

To determine

Five different elements of A={mn∈Q|3|n} at most one of which is an integer.

Answer 7

Chapter 4.3, Problem 6E

(a)

To determine

Five different elements of A={mn∈Q|3|n} at most one of which is an integer.

Answer 8

(b)

To determine

To prove: That A={mn∈Q|3|n} is closed under addition.

Answer 9

(b)

To determine

To prove: That A={mn∈Q|3|n} is closed under addition.

Answer 10

(c)

To determine

To prove: That A={mn∈Q|3|n} is closed under multiplication.

Answer 11

(c)

To determine

To prove: That A={mn∈Q|3|n} is closed under multiplication.

Answer 12

Expert Solution & Answer

Answer 13

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Answer 14

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Answer 15

Ch. 4.1 - 227 Ch. 4.1 - The Well-Ordering Principle states that any...Ch. 4.1 - Prob. 3TFQ Ch. 4.1 - Prob. 4TFQ Ch. 4.1 - Prob. 5TFQ Ch. 4.1 - Prob. 6TFQ Ch. 4.1 - Prob. 7TFQ Ch. 4.1 - Prob. 8TFQ Ch. 4.1 - Prob. 9TFQ Ch. 4.1 - Prob. 10TFQ

Five different elements of A = { m n ∈ Q | 3 | n } at most one of which is an integer.

Solution Summary: The author explains how to determine the five different elements of A=leftmnin Q|3overline).

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Five different elements of A={mn∈Q|3|n} at most one of which is an integer.

To prove: That A={mn∈Q|3|n} is closed under addition.

To prove: That A={mn∈Q|3|n} is closed under multiplication.

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Chapter 4 Solutions