17th Edition

ISBN: 9780998625713

Author: Lynn Marecek, MaryAnne Anthony-Smith

Publisher: OpenStax - Rice University

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.

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Chapter 6.4, Problem 353E

Why does ( a + b ) 2 result in a trinomial. but ( a + b ) ( a − b ) result in a binomial?

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Chapter 6.4, Problem 352E

Chapter 6.4, Problem 354E

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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

4. In a study of how students give directions, forty volunteers were given the task ofexplaining to another person how to reach a destination. Researchers measured thefollowing five aspects of the subjects’ direction-giving behavior:• whether a map was available or if directions were given from memory without a map,• the gender of the direction-giver,• the distances given as part of the directions,• the number of times directions such as “north” or “left” were used,• the frequency of errors in directions.a) Identify each of the variables in this study, and whether each is quantitative orqualitative. For each quantitative variable, state whether it is discrete or continuousb) Was this an observational study or an experimental study? Explain your answer

Find the perimeter and area

Chapter 6 Solutions

Elementary Algebra

Ch. 6.1 - Determine whether each polynomial is a monomial,...Ch. 6.1 - Determine whether each polynomial is a monomial,...Ch. 6.1 - Find the degree of the following polynomials: (a)...Ch. 6.1 - Find the degree of the following polynomials: (a)...Ch. 6.1 - Add: 12q2+9q2 .Ch. 6.1 - Add: 15c2+8c2 .Ch. 6.1 - Subtract: 8m(5m) .Ch. 6.1 - Subtract: 15z3(5z3) .Ch. 6.1 - Add: 8y2+3z23y2 .Ch. 6.1 - Add: 3m2+n27m2 .

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