Suppose a system of differential equations can be written in matrix form as dx dt dy dt dz dt = A x(t) = y(t) = z(t) = x where A is a 3 x 3 matrix. = Y 2 1 If A has eigenvalues 7, -1, 8 with corresponding eigenvectors -2 I general solution to the system. (Use c₁ for terms involving eigenvalue 7, c₂ for terms involving eigenvalue -1, and c3 for terms involving eigenvalue 8.) write the

Q: solve 3(x-5)=2(x-4)

A: Distribute 3 and 2 first.

Q: solve for x 5(x+4) =-2(3x-5)+5x

A:

Q: Įsin x cos^(3/2) x dx * O -2/5 cos^(5/2) x + C O None of the choices -5/2 cos^(5/2) x + C O -2…

A:

Q: Find the point on the line 3x + 6y +2=0 which is closest to the point (2,-2). Answer is

A: Foot of perpendicular

Q: Please show every step. Also, set up as an equation where you are solving for “X”.

A:

Q: Solve for points (-2,0) , (0,2) , (2,3)

A:

Q: 6. Show that (an)neN C R is bounded if and only if lim supn→∞ an < +∞o.

A: To Prove:  ann is bounded sequence if and only if limsupan&lt;+∞.

Q: 1 + √²-√²+1 = √₂ -= X 2 2 - - x + √x + ₂ + V z X X 2

A:

Q: If f(x)=14-x^(2) and g(x)=\sqrt(x+31), compute g(f(3)). Simplify your answer as much as possible.

A:

Q: Solve: х? — 7х — -12 O x = -3, 4 O x = – ¤ = — 4, 3 х —D — 4, — 3 %3D Ox = 3, 4

A: The given quadratic equation is: x2-7x=-12

Q: What point is two-thirds of the way from the origin to (5, -2)?

A: We have to find the coordinates of the point P which is two-thirds of the way from the origin O(0,…

Q: Solve and checkX/x-1-1=3/x+1

A: Given,  (x/x-1) -1 = 3/x+1By taking LCM, we getx-x+1/x-1 = 3/x+1

Q: solve step by step 3-(6x-25)=7(x-3)

A:

Q: Solve    6(x-3) = 5(x+5)

A: Given 6(x-3) = 5(x+5) what is x?

Q: Solve    y = x - 1   Using graphing, elimination and substitution

A: Solution: Here  y=x-1

Q: wo step equation

A:

Q: can you write the equation and graph it?

A:

Q: etermine the equation of your model that will pass 2,4

A: We already have the equation of polynomialand

Q: Solve the equation of the line that pass through A (1, 2, 3) and B (4, 5, 6).

A: we have to find the equation of a line passing through the points A (1, 2, 3) and B (4, 5, 6). the…