Find a particular solution of the indicated linear system that satisfies the initial conditions x, (0) = 3,X2 (0) = 4, and x3 (0) = 8.- 18 - 22 - 211- 2t2tx' =2 x; X1 = e- 4X2 =- 14tX3 = e- 11620- 16 - 16241...The particular solution is x, (t) =, xX2(t) =, .and x3(t) =

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Answered: Find a particular solution of the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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The break-even point occurs where the graphs of C and R intersect. Thus, we find this point by solving the system (x) = 500,000 + 400x |R(x) = 600x [y = 500,000 + 400x or ly = 600x. Using the substitution method, we can substitute 600x for y in the first equation. 600x = 500,000 + 400x Substitute 600x for y in y= 500,000 + 400x. 200x 500,000 Subtract 400x from both sides. x = 2500 Divide both sides by 200. Back-substituting 2500 for x in either of the system's equations (or functions), we obtain R(2500) = 600(2500) = 1,500,000. We used R[x) = 60ox.
10.4 Solve the following system of equations using LU decompo- sition with partial pivoting: 2x, - 6x2 – x3 = -38 -3x - x2 + 7x3 = -34 -8x, + x2 - 2x3 = -20
T2. Let 1 -2 2 A 4 5 1 = 5 B3 = -830---0--0--0 Solve the linear systems Ax = B₁, Ax = B2, Ax method of Example 2. 2 = B3 using the
Q1: Solve the system i = Ax, x(0) 1 -1 1 1 A 3 -2 1 1 ||
3. Let c e R be a constant. Consider the following system of linear equations over R: = 0 3x1 + 4t1 + (c— 2)22 + (2с— 3)3 CI2 + 13 (*). CI2 + X3 = 0 (2)( Determine all values of c so that the system (*) has a unique solution. (b)( If c = 1, find the dimension of the solution set of the system (*).
2.x1 – 3x2 + x3 = 0 - Find the value of k for which the system of equations 1+ 2x2 – 3x3 = 0 has non trivial - 4.x1 – x2 + kx3 = 0 solutions.
parts B and C
For which values of tER will the system tx - (2t)y + z = 3 -3x + 3y - 5z = -2 x-(t+1)y+z=1 be inconsistent? Find the solutions for t = -1.
None

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Find a particular solution of the indicated linear system that satisfies the initial conditions x, (0) = 3, X2 (0) = 4, and x3 (0) = 8. - 18 - 22 - 2 1 1 - 2t 2t x' = 2 x; X1 = e - 4 X2 = - 1 4t X3 = e - 1 16 20 - 16 - 16 2 4 1 ... The particular solution is x, (t) =, xX2(t) =, and x3 (t) = .