6th Edition

ISBN: 8220100802713

Author: Briggs

Publisher: PEARSON

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Chapter 6.D, Problem 48E

Better Margin of Error. Suppose you want to decrease the margin of error by a factor of 10—for example, from 1% to 0.1%. By what factor must you increase the sample size? Explain.

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Chapter 6.D, Problem 47E

Chapter 6.D, Problem 49E

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(20 p) 1. Find a particular solution satisfying the given initial conditions for the third-order homogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y(3)+2y"-y-2y = 0; y(0) = 1, y'(0) = 2, y"(0) = 0; y₁ = e*, y2 = e¯x, y3 = e−2x (20 p) 2. Find a particular solution satisfying the given initial conditions for the second-order nonhomogeneous linear equation given below. (See Section 5.2 in your textbook if you need a review of the subject.) y"-2y-3y = 6; y(0) = 3, y'(0) = 11 yc = c₁ex + c2e³x; yp = −2 (60 p) 3. Find the general, and if possible, particular solutions of the linear systems of differential equations given below using the eigenvalue-eigenvector method. (See Section 7.3 in your textbook if you need a review of the subject.) = a) x 4x1 + x2, x2 = 6x1-x2 b) x=6x17x2, x2 = x1-2x2 c) x = 9x1+5x2, x2 = −6x1-2x2; x1(0) = 1, x2(0)=0

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Better Margin of Error. Suppose you want to decrease the margin of error by a factor of 10—for example, from 1% to 0.1%. By what factor must you increase the sample size ? Explain.

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