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Math Calculus CALCULUS:EARLY TRANS.-SAPLINGPLUS

The acceleration vector a when the position of the particle is r ( π 2 ) .

The acceleration vector a when the position of the particle is r ( π 2 ) .

Solution Summary: The author calculates the acceleration vector of the particle when its position is r(pi 2).

CALCULUS:EARLY TRANS.-SAPLINGPLUS

CALCULUS:EARLY TRANS.-SAPLINGPLUS

4th Edition

ISBN: 9781319279813

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 13.5, Problem 51E

To determine

The acceleration vector a when the position of the particle is r(π2).

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Chapter 13.5, Problem 50E

Chapter 13.5, Problem 52E

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A factorization A = PDP 1 is not unique. For A= 7 2 -4 1 1 1 5 0 2 1 one factorization is P = D= and P-1 30 = Use this information with D₁ = to find a matrix P₁ such that - -1 -2 0 3 1 - - 1 05 A-P,D,P P1 (Type an integer or simplified fraction for each matrix element.)

Matrix A is factored in the form PDP 1. Use the Diagonalization Theorem to find the eigenvalues of A and a basis for each eigenspace. 30 -1 - 1 0 -1 400 0 0 1 A= 3 4 3 0 1 3 040 3 1 3 0 0 4 1 0 0 003 -1 0 -1 Select the correct choice below and fill in the answer boxes to complete your choice. (Use a comma to separate vectors as needed.) A basis for the corresponding eigenspace is { A. There is one distinct eigenvalue, λ = B. In ascending order, the two distinct eigenvalues are λ₁ ... = and 2 = Bases for the corresponding eigenspaces are { and ( ), respectively. C. In ascending order, the three distinct eigenvalues are λ₁ = = 12/2 = and 3 = Bases for the corresponding eigenspaces are {}, }, and { respectively.

Chapter 13 Solutions

CALCULUS:EARLY TRANS.-SAPLINGPLUS

Ch. 13.1 - Prob. 1PQ Ch. 13.1 - Prob. 2PQ Ch. 13.1 - Prob. 3PQ Ch. 13.1 - Prob. 4PQ Ch. 13.1 - Prob. 5PQ Ch. 13.1 - Prob. 6PQ Ch. 13.1 - Prob. 1E Ch. 13.1 - Prob. 2E Ch. 13.1 - Prob. 3E Ch. 13.1 - Prob. 4E

Ch. 13.1 - Prob. 5E Ch. 13.1 - Prob. 6E Ch. 13.1 - Prob. 7E Ch. 13.1 - Prob. 8E Ch. 13.1 - Prob. 9E Ch. 13.1 - Prob. 10E Ch. 13.1 - Prob. 11E Ch. 13.1 - Prob. 12E Ch. 13.1 - Prob. 13E Ch. 13.1 - Prob. 14E Ch. 13.1 - Prob. 15E Ch. 13.1 - Prob. 16E Ch. 13.1 - Prob. 17E Ch. 13.1 - Prob. 18E Ch. 13.1 - Prob. 19E Ch. 13.1 - Prob. 20E Ch. 13.1 - Prob. 21E Ch. 13.1 - Prob. 22E Ch. 13.1 - Prob. 23E Ch. 13.1 - Prob. 24E Ch. 13.1 - Prob. 25E Ch. 13.1 - Prob. 26E Ch. 13.1 - Prob. 27E Ch. 13.1 - Prob. 28E Ch. 13.1 - Prob. 29E Ch. 13.1 - Prob. 30E Ch. 13.1 - Prob. 31E Ch. 13.1 - Prob. 32E Ch. 13.1 - Prob. 33E Ch. 13.1 - Prob. 34E Ch. 13.1 - Prob. 35E Ch. 13.1 - Prob. 36E Ch. 13.1 - Prob. 37E Ch. 13.1 - Prob. 38E Ch. 13.1 - Prob. 39E Ch. 13.1 - Prob. 40E Ch. 13.1 - Prob. 41E Ch. 13.1 - Prob. 42E Ch. 13.1 - Prob. 43E Ch. 13.1 - Prob. 44E Ch. 13.1 - Prob. 45E Ch. 13.1 - Prob. 46E Ch. 13.1 - Prob. 47E Ch. 13.1 - Prob. 48E Ch. 13.1 - Prob. 49E Ch. 13.1 - Prob. 50E Ch. 13.1 - Prob. 51E Ch. 13.1 - Prob. 52E Ch. 13.1 - Prob. 53E Ch. 13.2 - Prob. 1PQ Ch. 13.2 - Prob. 2PQ Ch. 13.2 - Prob. 3PQ Ch. 13.2 - Prob. 4PQ Ch. 13.2 - Prob. 5PQ Ch. 13.2 - Prob. 6PQ Ch. 13.2 - Prob. 7PQ Ch. 13.2 - Prob. 1E Ch. 13.2 - Prob. 2E Ch. 13.2 - Prob. 3E Ch. 13.2 - Prob. 4E Ch. 13.2 - Prob. 5E Ch. 13.2 - Prob. 6E Ch. 13.2 - Prob. 7E Ch. 13.2 - Prob. 8E Ch. 13.2 - Prob. 9E Ch. 13.2 - Prob. 10E Ch. 13.2 - Prob. 11E Ch. 13.2 - Prob. 12E Ch. 13.2 - Prob. 13E Ch. 13.2 - Prob. 14E Ch. 13.2 - Prob. 15E Ch. 13.2 - Prob. 16E Ch. 13.2 - Prob. 17E Ch. 13.2 - Prob. 18E Ch. 13.2 - Prob. 19E Ch. 13.2 - Prob. 20E Ch. 13.2 - Prob. 21E Ch. 13.2 - Prob. 22E Ch. 13.2 - Prob. 23E Ch. 13.2 - Prob. 24E Ch. 13.2 - Prob. 25E Ch. 13.2 - Prob. 26E Ch. 13.2 - Prob. 27E Ch. 13.2 - Prob. 28E Ch. 13.2 - Prob. 29E Ch. 13.2 - Prob. 30E Ch. 13.2 - Prob. 31E Ch. 13.2 - Prob. 32E Ch. 13.2 - Prob. 33E Ch. 13.2 - Prob. 34E Ch. 13.2 - Prob. 35E Ch. 13.2 - Prob. 36E Ch. 13.2 - Prob. 37E Ch. 13.2 - Prob. 38E Ch. 13.2 - Prob. 39E Ch. 13.2 - Prob. 40E Ch. 13.2 - Prob. 41E Ch. 13.2 - Prob. 42E Ch. 13.2 - Prob. 43E Ch. 13.2 - Prob. 44E Ch. 13.2 - Prob. 45E Ch. 13.2 - Prob. 46E Ch. 13.2 - Prob. 47E Ch. 13.2 - Prob. 48E Ch. 13.2 - Prob. 49E Ch. 13.2 - Prob. 50E Ch. 13.2 - Prob. 51E Ch. 13.2 - Prob. 52E Ch. 13.2 - Prob. 53E Ch. 13.2 - Prob. 54E Ch. 13.2 - Prob. 55E Ch. 13.2 - Prob. 56E Ch. 13.2 - Prob. 57E Ch. 13.2 - Prob. 58E Ch. 13.2 - Prob. 59E Ch. 13.2 - Prob. 60E Ch. 13.2 - Prob. 61E Ch. 13.2 - Prob. 62E Ch. 13.2 - Prob. 63E Ch. 13.2 - Prob. 64E Ch. 13.2 - Prob. 65E Ch. 13.2 - Prob. 66E Ch. 13.2 - Prob. 67E Ch. 13.2 - Prob. 68E Ch. 13.2 - Prob. 69E Ch. 13.2 - Prob. 70E Ch. 13.2 - Prob. 71E Ch. 13.2 - Prob. 72E Ch. 13.2 - Prob. 73E Ch. 13.2 - Prob. 74E Ch. 13.2 - Prob. 75E Ch. 13.2 - Prob. 76E Ch. 13.2 - Prob. 77E Ch. 13.2 - Prob. 78E Ch. 13.3 - Prob. 1PQ Ch. 13.3 - Prob. 2PQ Ch. 13.3 - Prob. 3PQ Ch. 13.3 - Prob. 4PQ Ch. 13.3 - Prob. 1E Ch. 13.3 - Prob. 2E Ch. 13.3 - Prob. 3E Ch. 13.3 - Prob. 4E Ch. 13.3 - Prob. 5E Ch. 13.3 - Prob. 6E Ch. 13.3 - Prob. 7E Ch. 13.3 - Prob. 8E Ch. 13.3 - Prob. 9E Ch. 13.3 - Prob. 10E Ch. 13.3 - Prob. 11E Ch. 13.3 - Prob. 12E Ch. 13.3 - Prob. 13E Ch. 13.3 - Prob. 14E Ch. 13.3 - Prob. 15E Ch. 13.3 - Prob. 16E Ch. 13.3 - Prob. 17E Ch. 13.3 - Prob. 18E Ch. 13.3 - Prob. 19E Ch. 13.3 - Prob. 20E Ch. 13.3 - Prob. 21E Ch. 13.3 - Prob. 22E Ch. 13.3 - Prob. 23E Ch. 13.3 - Prob. 24E Ch. 13.3 - Prob. 25E Ch. 13.3 - Prob. 26E Ch. 13.3 - Prob. 27E Ch. 13.3 - Prob. 28E Ch. 13.3 - Prob. 29E Ch. 13.3 - Prob. 30E Ch. 13.3 - Prob. 31E Ch. 13.3 - Prob. 32E Ch. 13.3 - Prob. 33E Ch. 13.3 - Prob. 34E Ch. 13.3 - Prob. 35E Ch. 13.3 - Prob. 36E Ch. 13.3 - Prob. 37E Ch. 13.3 - Prob. 38E Ch. 13.3 - Prob. 39E Ch. 13.3 - Prob. 40E Ch. 13.3 - Prob. 41E Ch. 13.3 - Prob. 42E Ch. 13.3 - Prob. 43E Ch. 13.4 - Prob. 1PQ Ch. 13.4 - Prob. 2PQ Ch. 13.4 - Prob. 3PQ Ch. 13.4 - Prob. 4PQ Ch. 13.4 - Prob. 5PQ Ch. 13.4 - Prob. 6PQ Ch. 13.4 - Prob. 7PQ Ch. 13.4 - Prob. 1E Ch. 13.4 - Prob. 2E Ch. 13.4 - Prob. 3E Ch. 13.4 - Prob. 4E Ch. 13.4 - Prob. 5E Ch. 13.4 - Prob. 6E Ch. 13.4 - Prob. 7E Ch. 13.4 - Prob. 8E Ch. 13.4 - Prob. 9E Ch. 13.4 - Prob. 10E Ch. 13.4 - Prob. 11E Ch. 13.4 - Prob. 12E Ch. 13.4 - Prob. 13E Ch. 13.4 - Prob. 14E Ch. 13.4 - Prob. 15E Ch. 13.4 - Prob. 16E Ch. 13.4 - Prob. 17E Ch. 13.4 - Prob. 18E Ch. 13.4 - Prob. 19E Ch. 13.4 - Prob. 20E Ch. 13.4 - Prob. 21E Ch. 13.4 - Prob. 22E Ch. 13.4 - Prob. 23E Ch. 13.4 - Prob. 24E Ch. 13.4 - Prob. 25E Ch. 13.4 - Prob. 26E Ch. 13.4 - Prob. 27E Ch. 13.4 - Prob. 28E Ch. 13.4 - Prob. 29E Ch. 13.4 - Prob. 30E Ch. 13.4 - Prob. 31E Ch. 13.4 - Prob. 32E Ch. 13.4 - Prob. 33E Ch. 13.4 - Prob. 34E Ch. 13.4 - Prob. 35E Ch. 13.4 - Prob. 36E Ch. 13.4 - Prob. 37E Ch. 13.4 - Prob. 38E Ch. 13.4 - Prob. 39E Ch. 13.4 - Prob. 40E Ch. 13.4 - Prob. 41E Ch. 13.4 - Prob. 42E Ch. 13.4 - Prob. 43E Ch. 13.4 - Prob. 44E Ch. 13.4 - Prob. 45E Ch. 13.4 - Prob. 46E Ch. 13.4 - Prob. 47E Ch. 13.4 - Prob. 48E Ch. 13.4 - Prob. 49E Ch. 13.4 - Prob. 50E Ch. 13.4 - Prob. 51E Ch. 13.4 - Prob. 52E Ch. 13.4 - Prob. 53E Ch. 13.4 - Prob. 54E Ch. 13.4 - Prob. 55E Ch. 13.4 - Prob. 56E Ch. 13.4 - Prob. 57E Ch. 13.4 - Prob. 58E Ch. 13.4 - Prob. 59E Ch. 13.4 - Prob. 60E Ch. 13.4 - Prob. 61E Ch. 13.4 - Prob. 62E Ch. 13.4 - Prob. 63E Ch. 13.4 - Prob. 64E Ch. 13.4 - Prob. 65E Ch. 13.4 - Prob. 66E Ch. 13.4 - Prob. 67E Ch. 13.4 - Prob. 68E Ch. 13.4 - Prob. 69E Ch. 13.4 - Prob. 70E Ch. 13.4 - Prob. 71E Ch. 13.4 - Prob. 72E Ch. 13.4 - Prob. 73E Ch. 13.4 - Prob. 74E Ch. 13.4 - Prob. 75E Ch. 13.4 - Prob. 76E Ch. 13.4 - Prob. 77E Ch. 13.4 - Prob. 78E Ch. 13.4 - Prob. 79E Ch. 13.4 - Prob. 80E Ch. 13.4 - Prob. 81E Ch. 13.4 - Prob. 82E Ch. 13.4 - Prob. 83E Ch. 13.4 - Prob. 84E Ch. 13.4 - Prob. 85E Ch. 13.4 - Prob. 86E Ch. 13.4 - Prob. 87E Ch. 13.4 - Prob. 88E Ch. 13.4 - Prob. 89E Ch. 13.4 - Prob. 90E Ch. 13.4 - Prob. 91E Ch. 13.4 - Prob. 92E Ch. 13.4 - Prob. 93E Ch. 13.5 - Prob. 1PQ Ch. 13.5 - Prob. 2PQ Ch. 13.5 - Prob. 3PQ Ch. 13.5 - Prob. 4PQ Ch. 13.5 - Prob. 5PQ Ch. 13.5 - Prob. 6PQ Ch. 13.5 - Prob. 7PQ Ch. 13.5 - Prob. 1E Ch. 13.5 - Prob. 2E Ch. 13.5 - Prob. 3E Ch. 13.5 - Prob. 4E Ch. 13.5 - Prob. 5E Ch. 13.5 - Prob. 6E Ch. 13.5 - Prob. 7E Ch. 13.5 - Prob. 8E Ch. 13.5 - Prob. 9E Ch. 13.5 - Prob. 10E Ch. 13.5 - Prob. 11E Ch. 13.5 - Prob. 12E Ch. 13.5 - Prob. 13E Ch. 13.5 - Prob. 14E Ch. 13.5 - Prob. 15E Ch. 13.5 - Prob. 16E Ch. 13.5 - Prob. 17E Ch. 13.5 - Prob. 18E Ch. 13.5 - Prob. 19E Ch. 13.5 - Prob. 20E Ch. 13.5 - Prob. 21E Ch. 13.5 - Prob. 22E Ch. 13.5 - Prob. 23E Ch. 13.5 - Prob. 24E Ch. 13.5 - Prob. 25E Ch. 13.5 - Prob. 26E Ch. 13.5 - Prob. 27E Ch. 13.5 - Prob. 28E Ch. 13.5 - Prob. 29E Ch. 13.5 - Prob. 30E Ch. 13.5 - Prob. 31E Ch. 13.5 - Prob. 32E Ch. 13.5 - Prob. 33E Ch. 13.5 - Prob. 34E Ch. 13.5 - Prob. 35E Ch. 13.5 - Prob. 36E Ch. 13.5 - Prob. 37E Ch. 13.5 - Prob. 38E Ch. 13.5 - Prob. 39E Ch. 13.5 - Prob. 40E Ch. 13.5 - Prob. 41E Ch. 13.5 - Prob. 42E Ch. 13.5 - Prob. 43E Ch. 13.5 - Prob. 44E Ch. 13.5 - Prob. 45E Ch. 13.5 - Prob. 46E Ch. 13.5 - Prob. 47E Ch. 13.5 - Prob. 48E Ch. 13.5 - Prob. 49E Ch. 13.5 - Prob. 50E Ch. 13.5 - Prob. 51E Ch. 13.5 - Prob. 52E Ch. 13.5 - Prob. 53E Ch. 13.5 - Prob. 54E Ch. 13.5 - Prob. 55E Ch. 13.5 - Prob. 56E Ch. 13.5 - Prob. 57E Ch. 13.5 - Prob. 58E Ch. 13.5 - Prob. 59E Ch. 13.5 - Prob. 60E Ch. 13.5 - Prob. 61E Ch. 13.6 - Prob. 1PQ Ch. 13.6 - Prob. 2PQ Ch. 13.6 - Prob. 3PQ Ch. 13.6 - Prob. 1E Ch. 13.6 - Prob. 2E Ch. 13.6 - Prob. 3E Ch. 13.6 - Prob. 4E Ch. 13.6 - Prob. 5E Ch. 13.6 - Prob. 6E Ch. 13.6 - Prob. 7E Ch. 13.6 - Prob. 8E Ch. 13.6 - Prob. 9E Ch. 13.6 - Prob. 10E Ch. 13.6 - Prob. 11E Ch. 13.6 - Prob. 12E Ch. 13.6 - Prob. 13E Ch. 13.6 - Prob. 14E Ch. 13.6 - Prob. 15E Ch. 13.6 - Prob. 16E Ch. 13.6 - Prob. 17E Ch. 13.6 - Prob. 18E Ch. 13.6 - Prob. 19E Ch. 13.6 - Prob. 20E Ch. 13.6 - Prob. 21E Ch. 13.6 - Prob. 22E Ch. 13.6 - Prob. 23E Ch. 13.6 - Prob. 24E Ch. 13.6 - Prob. 25E Ch. 13 - Prob. 1CRE Ch. 13 - Prob. 2CRE Ch. 13 - Prob. 3CRE Ch. 13 - Prob. 4CRE Ch. 13 - Prob. 5CRE Ch. 13 - Prob. 6CRE Ch. 13 - Prob. 7CRE Ch. 13 - Prob. 8CRE Ch. 13 - Prob. 9CRE Ch. 13 - Prob. 10CRE Ch. 13 - Prob. 11CRE Ch. 13 - Prob. 12CRE Ch. 13 - Prob. 13CRE Ch. 13 - Prob. 14CRE Ch. 13 - Prob. 15CRE Ch. 13 - Prob. 16CRE Ch. 13 - Prob. 17CRE Ch. 13 - Prob. 18CRE Ch. 13 - Prob. 19CRE Ch. 13 - Prob. 20CRE Ch. 13 - Prob. 21CRE Ch. 13 - Prob. 22CRE Ch. 13 - Prob. 23CRE Ch. 13 - Prob. 24CRE Ch. 13 - Prob. 25CRE Ch. 13 - Prob. 26CRE Ch. 13 - Prob. 27CRE Ch. 13 - Prob. 28CRE Ch. 13 - Prob. 29CRE Ch. 13 - Prob. 30CRE Ch. 13 - Prob. 31CRE Ch. 13 - Prob. 32CRE Ch. 13 - Prob. 33CRE Ch. 13 - Prob. 34CRE Ch. 13 - Prob. 35CRE Ch. 13 - Prob. 36CRE Ch. 13 - Prob. 37CRE Ch. 13 - Prob. 38CRE Ch. 13 - Prob. 39CRE Ch. 13 - Prob. 40CRE Ch. 13 - Prob. 41CRE Ch. 13 - Prob. 42CRE

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