Solve the Inverse Laplace Transform 6 1 F(s) = ((25 + 3)² + = -) 0 ² e 5s 3

Q: Use logs and implicit differentiaton to prove (root(x))' = 0.5x^(-0.5)

A: Let y = √x Take log to the base e, i.e. natural log, i.e ln on both the sides, ln(y) = ln(√x) =…

Q: Find an annihilator operator of (x + 1)e^2x

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Q: Given f(x)=(1)/(4)x^(2) how did we transform from the parent function?

A: Given f( x ) = 14x2

Q: Given an Transform of a function f(s). Find x equation L-(f(s)) = xLf (s - a)} where L^-1 is the…

A: To solve the Laplace and inverse Laplace equation using formulas.

Q: Find the inverse Lapace Transform    L^(-1) {1/[(s^2 +9)^2]}

A:

Q: Find f'(z) of f(z) = e(z^3) - 5z.

A: Given :- f(z) = e(z^3) - 5z

Q: find the inverse Laplace transform of the given function of 4e^(-2t) / (s(s+4))   Thank you for…

A:

Q: Find the derivative of 4Inloge*

A:

Q: Q12: Find f (x) if: f (x) = A e** , f (0) = 100 and f (1) = 120

A: f(x) = A e kx , f(0) = 100 and f(1) = 120

Q: In the critical points, how do you transition from dp/dI = (320-80I^2)/(I^2 + I + 4)^2  to 320-80I^2…

A: NOTE: Refresh your page if you can't see any equations. . the derivative is given by

Q: 39 Find the value of c that satisfies Rolle's theorem for f(x) = 2x^4 -16x I 5. You are a…

A: Given query is to find the the value of c.

Q: ^2/sin^2(2x-6) = -1 since sinx/x =1? then limit is like x^

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Q: The residue of f(z)=1/(z+1)^3

A: f(z)=1(z+1)3

Q: What is the Laplace transform of f(X)=e^(-6x)

A: Calculate Laplace transform: ∫0∞fxe-sxdx=∫0∞e-6x·e-sxdx                       =∫0∞e-s+6xdx…

Q: find the root of 3x +sinx -e ^x=0 using secant method

A: Let us consider the function fx=3x+sinx-ex. We have to use the secant method to find the…

Q: The moment generating function of X is given as follows: M(x)(t)= e^(8t). Use the moment generating…

A: It is required to calculate the mean of the random variable X, using the moment generating function.

Q: rconh(3x+1) - 5t +ldt f(x)= sinh³

A:

Q: Differentiate the function. A y = 2x>e²2x + 5xªe2x В У 3 5x (е2%) + бе2(20х3) y = (5xª)(2e²^)

A:

Q: In step 3, how did you know to use yp = ( 1 / (D^2 + 9) ) 4sin(2x)?

A: The given initial value problem y''+9y=4sin(2x), y0=1, y'0=1. We have to find the solution of the…

Q: How can I find the gini index of y = x^1.1?

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Q: Use the Product and Quotient Rules as necessary to find the derivative of f(x) = 7x cos(x) %3D (Use…

A: Given: f(x)=7x2cosx Now,       f'(x)=7x2cosx'        =7x2'cosx+cosx' x2       =72xcosx+-sinxx2…

Q: (D^3 - D^2 +4D -4)y=8-e^x + 4cos(2x)

A:

Q: How do you derive the reduction formula for integrating sec^3xtan^2x?

A: I am attaching image so that you understand each and every step.

Q: Find the derivative of f(x) = (sin³2x + cos²3x) 6cos(2x)sin²(2x)-6cos(3x)sin²(3x) O-6cos…

A: Formulas we use: fgx'=f'gxg'x fxn'=nfxn-1f'(x) cos(ax)'=-asin(ax) sin(ax)'=acos(ax).