The shortest distance to v 1 and the corresponding value of p 1 . when paths start at v 1 and, when paths start at v 2 for the diagraph given below.

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Answer 1

Question

Chapter 12.4, Problem 14E

(a)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

(b)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

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Problem 11 (a) A tank is discharging water through an orifice at a depth of T meter below the surface of the water whose area is A m². The following are the values of a for the corresponding values of A: A 1.257 1.390 x 1.50 1.65 1.520 1.650 1.809 1.962 2.123 2.295 2.462|2.650 1.80 1.95 2.10 2.25 2.40 2.55 2.70 2.85 Using the formula -3.0 (0.018)T = dx. calculate T, the time in seconds for the level of the water to drop from 3.0 m to 1.5 m above the orifice. (b) The velocity of a train which starts from rest is given by the fol- lowing table, the time being reckoned in minutes from the start and the speed in km/hour: | † (minutes) |2|4 6 8 10 12 14 16 18 20 v (km/hr) 16 28.8 40 46.4 51.2 32.0 17.6 8 3.2 0 Estimate approximately the total distance ran in 20 minutes.

- Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., p-1 2 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). 23 32 how come? The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. The set T is the subset of these residues exceeding So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1.

Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2 multiple of n, i.e. n mod p, 2n mod p, ..., 2 p-1 -n mod p. Let T be the subset of S consisting of those residues which exceed p/2. Find the set T, and hence compute the Legendre symbol (7|23). The first 11 multiples of 7 reduced mod 23 are 7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8. 23 The set T is the subset of these residues exceeding 2° So T = {12, 14, 17, 19, 21}. By Gauss' lemma (Apostol Theorem 9.6), (7|23) = (−1)|T| = (−1)5 = −1. how come?

Answer 2

Question

Chapter 12.4, Problem 14E

(a)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

(b)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 3

Question

Chapter 12.4, Problem 14E

(a)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

(b)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 4

Question

Chapter 12.4, Problem 14E

(a)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

(b)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Answer 5

Chapter 12.4, Problem 14E

(a)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

(b)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

Answer 6

Chapter 12.4, Problem 14E

(a)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

Answer 7

Chapter 12.4, Problem 14E

(a)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

Answer 8

(b)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

Answer 9

(b)

To determine

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 12.1 - Prob. 1TFQ Ch. 12.1 - Prob. 2TFQ Ch. 12.1 - Prob. 3TFQ Ch. 12.1 - Prob. 4TFQ Ch. 12.1 - Prob. 5TFQ Ch. 12.1 - Prob. 6TFQ Ch. 12.1 - Prob. 7TFQ Ch. 12.1 - Prob. 8TFQ Ch. 12.1 - Prob. 9TFQ Ch. 12.1 - Prob. 10TFQ

The shortest distance to v 1 and the corresponding value of p 1 . when paths start at v 1 and, when paths start at v 2 for the diagraph given below.

Solution Summary: The author explains how Bellman's algorithm determines the shortest distance to v_1 and corresponding value of

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The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

Want to see the full answer?

Chapter 12 Solutions

The shortest distance to v 1 and the corresponding value of p 1 . when paths start at v 1 and, when paths start at v 2 for the diagraph given below.

Solution Summary: The author explains how Bellman's algorithm determines the shortest distance to v_1 and corresponding value of

Videos

The shortest distance to v1 and the corresponding value of p1. when paths start at v1 and, when paths start at v2 for the diagraph given below.

The shortest distance to v1 and the corresponding value of p1. when paths start at v1 and, when paths start at v2 for the diagraph given below.

Want to see the full answer?

Chapter 12 Solutions

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.

The shortest distance to v1 and the corresponding value of p1.

when paths start at v1 and,

when paths start at v2 for the diagraph given below.