Question 1 Solve [(x), (y)] = [[3,1],[-25,-5]]\ [(x), (y)] \quad x(0) = 3, y(0) = -24` `x(t)` = `y(t)` = Submit Question 4

Q: ƒ' (4) = If f(x) = 3√√√x(x³ − 2√x + 2), find f'(4).

A: Given that

Q: 2

A: To find, L-11s2+13 The Convolution Theorem is given as, If L-1f¯s=ft  and  L-1g¯s=gt then,…

Q: Bring this equation (1+x³)² y" +2x(1+x²)y'+ 4y = 0 to the self-adjoint form, then write the…

A: Hello, I don't understand what is the associated function you are asking. There are many associated…

Q: Solve the IVP, explicitly if possible. 3y x+9(-7)=1 (x– 7)* 8. y=(x+9)3 (x + 9|) yl = (x+9|)

A:

Q: ∫ln(7)0∫ln(7)0e^−(2x+5y)dydx

A:

Q: The auxiliary equation of  of  y'''-4y''-4y'+16y=0  is r^(3)-4r^(2)-4r+16=0  . The auxiliary…

A: Given that fr=r3-4r2-4r+16, r∈3,6

Q: Find a formula for f-(x) and (f-1)'(æ) if ƒ(x) = -V5 – x f-' (x) = (5-1)'(x) =

A:

Q: 2x? + 5x + 4 (1 point) Find f' (16) if f(x) : f' (16) = -5/2

A: here is quation of derivative we have to derivate function F(x)= 2x3/2 + 5x1/2 + 4x-1/2 f'(x)=…

Q: (4³ + 6)%,' = x^(,5 + 6)5 y

A:

Q: y^(5)−4y^(4)+4y^(3)=0 Use lower case c1,c2,c3,c4, and c5 for the arbitrary constants. y(t)=

A: y^(5)−4y^(4)+4y^(3)=0Use lower case c1,c2,c3,c4, and c5 for the arbitrary constants.y(t)=

Q: f(x) = (x -5)' =(x-5)(x-5)(x-5) -5 x^2 -5x (x^2-10x+25)(x-5) -5 -5х 25 x^2 -10x 25 -5 3.

A: Factor problem....

Q: f(x)=(x^2-1)/(x+4) Find the following :  5) f(2x) 6) f(a+k)

A: For 5th put 2x in place of x And for 6th put a+k in place of x in f(x)

Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

A:

Q: 2) If g(x) =3 - 2, find g-(x). %3D H-3

A: Given,           gx=3x-3-2

Q: f(x) = { (1,-2), (3,-5), (4,0), (6,8)}f^-1(x) =

A: By interchanging the first and second coordinates of each ordered pair in f, we can define the…

Q: Zx-16zx+60z=e 5x

A: We can find the auxiliary equation and this easily find the general solution and then using the…

Q: what is the result of isolating x^(2) in the equation 10x^(2)-36y^(2)=100

A: Algebraic equations 10x^2-36y^2=100

Q: What is the coefficient of x^n for the generating function (1)/(1+x)^2?

A:

Q: May I try this one again?  In the answer given the fourth line down has "u^2=t^2+1" and I believe…

A:

Q: Find the x-intereprs of the Furchiuro below 90 5x+2 2) 9(A)= -2

A: Since you have posted multiple question at a time as per guidelines we can solve only one question…

Q: SOLVE a'a 33. (a) (b) (a’a*)' (c) a 34. (a) (b) (2a’a*)* (c) (-3z*)'(2:")

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: which one is y=g(x), y =g'(x), y=g''(x), y=g'''(x)

A: We have to fund which graph corresponds to g(x),g'(x),g''(x),g'''(x)

Q: Substitute the value of y' in 1 + (y)²

A:

Q: 1) f(x)= (x3+2x)6, Then Find f''(x)

A: As per our guidelines we are suppose to solve first question. Kindly repost the other question as…

Q: (ii) Show that {Xt} is stationary.

A:

Q: 2.

A: