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Question 21 Solve the systems in Exercises 19-24 with the elimination method. Check your answers by substituting them back in. (Answers are not given at the back of the book.) 19. 2x + 3y = 5 20. 5x + 3y = 11 4x – 2y = 2 2x + 7y = 16 21. 3x – 7y = 27 22. 5x - 2y = -23 4x – 5y = 23 x + 2y = 5 23. 5x – 9y = -12...
Can you please show number #25, #27 (Please make work readable) 21. y" + 3y" + 3y' + y = 0 22. y" – 6y" + 12y' – 8y = 0 23. y(a) + y + y" =0 24. y(4) – 2y" +y=0 In Problems 1-14 find the general solution of the given second-order differential equation. 1. 4y" + y' = 0 2. y" – 36y = 0 3. y" - y' - 6y = 0 4. y" – 3y'...
20: Solve the system of equations using substitution method. 2x+5y=26 X+ y= 10 21: Solve the following equation. x-x1/2-6= 0 22: Solve the following system of equations, using elimination method. 2x+3y = 5 5x- y = 4 23: Solve the system of nonlinear equations. Any Method. Y?=x2-9 2y= x-3 24: Convert the log into exponent form. Ln (3x-5)2= 16 25: f(x)= 1/x in words explain the transformation of the following functions. a. g(x) = 1/ (x-3) +5 b. h(x)= -1/(x+2)...
Let k be an integer such that the vectors and 3 are linearly dependent. What must be the value of - 1, 2 [1] [-1 Answer: 1 Incorrect. Try again Next page bus page 1 1 1] Let A = 1 -1 2 and x = 22 Lo -2 1] [3] [1] Let p = 2.9= 0 and r = 2 Lo] How many of the systems Az = p.Az =q, Az = r have at least one solution? (1)...
[1 1 0 1 5) (Inverses) Let A = 2 1 0 | 3 2 1 (a) Find A- using elementary row operations. (x+y-2 =0 2x + y - 5 = 0 3.0 + 2y +z=1. (b) Using the result found in (a), solve the system
Suppose 21, 22, 23, 24 ~ N(0, 1) where 21, 22, 23, 24 are all independent. Let X1 = zi + z2 42 = 22 + 23 23 = 23 + 24 Notice that Cov(21,13) = 0 so that Xi and X3 are independent. Which of the following is true? Var (21 | 22) = Var (21 | 22, 23) Var (x1 | x2) > Var (21 | 22, 23) Var (21 | x2) < Var (21 | 22, 23)
In exercises 9-18 apply elementary equation operations to the given linear system to find an equivalent linear system in echelon form. If the system is consistent then use back substitution to find the general solution. See Method (1.11) and Method (1.1.2) 4x + 3y + z = 0 3x + 2y + z = -2 10. 3x-5y + 2z =-1
25 &27 In Problems 15-28 find the general solution of the given higher-order differential equation. 15 y" – 4y" – 5y' = 0 16. y' – y = 0 y'' – 5y" + 3y' + 9y = 0) 18. y' + 3y" – 4y' - 12y = 0 30 d²u 19. d13 + d²u - 2u=0 dt? d²x d²x an de dt2 4x = 0 21. y' + 3y" + 3y' + y = 0 22. y" – 6y" +...
(6 points) Evaluate the following system using the augmented matrix method. When performing row reduction, be sure to indicate your row operations. x 2x -x + 2y + 5y + 4y – + – 2= z = 2z = -3 1 3 (12 points) Evaluate the following system using Gauss-Jordan elimination. When per- forming row reduction, be sure to indicate your row operations. 2x x -x (a) – + + y + z = y + 2z = 3y +...
1. Which of the following sets are linear spaces? a) {X = (21, 22, 23) in R’ with the property 11 – - 2x3 =0} b) The set of solutions of Az = 0, where A is an mxn matrix. c) The set of 2 x 2 matrices A with det(A) = 0. d) The set of polynomials p(x) with S-, p(x) dx = 0. e) The set of solutions y = y(t) of y' + 4y' +y = 0.