In Exercises 31-12, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions. using set notation to express their solution sent. { 2 x = 3 y + 4 4 x = 3 − 5 y
In Exercises 31-12, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions. using set notation to express their solution sent. { 2 x = 3 y + 4 4 x = 3 − 5 y
Solution Summary: The author calculates the solutions of system of equation 2x=3y+4and4x =3-5y and determines whether it has no solution or infinitely many solutions.
In Exercises 31-12, solve by the method of your choice. Identify systems with no solution and systems with infinitely many solutions. using set notation to express their solution sent.
(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 8 Solutions
Algebra And Trigonometry 6th. Edition Annotated Instructor's Copy Blitzer
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