y Find Laplace tras Function sform of The following 644 -3t B) f · (t) = @²² (f+m)² where M is a constant

Q: L{f(t)} = f(t) = e* sinh t

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Q: Given the image below, how do I find the work done by F along C?

A: Definition of work:

Q: please explain and show steps Calculate us (t) * sin(t) using the definition of the convolution

A: Introduction: A mathematical procedure called convolution on two functions creates a third function…

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = 3t2 4 sin(5t)…

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Q: Let g(u) = 8u +4 Determine the derivative of g.

A: The given function is,

Q: OYm Sin (x-1/6)

A: Laplace transferom

Q: C. lim x→1+ 5x 4 31 -1-x 3x]

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Q: 3.1 (x+1) (x'+5x+2) ふeren ta ee

A: Topic = Derivative As per guidelines , At a time only one question can be answered.

Q: 1. Which of the following is the reverse operation of [f(x)]? dx A) f f(x) dx B) Jdx C)f cdx D) dx…

A: Topic = Integration 1) A 2) A

Q: A formuia for a function y = f(x) is f(x) = 5x° Find f '(x) and identify the domain and range of f…

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Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = e' sinh t L{(t)} :

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: (b) | sin(x) – 7dx -

A: ∫0πsin(x)-7 dxLet the lower limit of integral is a and the upper limit be bSo now according to the…

Q: Let u(x,y)=4x+3x2y−y3. Part (a) Show that u is a harmonic function. Part (b) Find a harmonic…

A: The given problem is to show that the given function u(x,y) is harmonic function and also to find…

Q: Use differentials and the graph of f to approximate (a) f (1.9) and (b) f (2.04). To print an…

A: To calculate the approximate value of a) f(1.9) and b) f(2.04)

Q: 5x C. lim 1-52, x→1+ -1-x 3x] D. Compute the derivtive of sin³ (x + 1)

A: Given: sin3x+1. We have to compute the derivative of the given function.

Q: =x-y+3|

A: I have provided a graph of this in step2

Q: Verify the product law for differentiation, (AB)' =A'B +AB' where A(t)= To calculate (AB)', first…

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Q: dt Use parseval's identity to prove that J a? +6²+?) 2ab (a + b) TC

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Q: Find For the Following FunctIon XP 8x 2X8 22

A: we have to find dydx for the given equation.1. y=6z2+18x4-12x8differentiate w.r.t…

Q: L{e-(sint + cosht}

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Stample? bet ftz)= if Show that a)f(2)is Continuous everyulhere on- 7 the Comptex derivative fo)…

A: Like a real-valued function, a complex-valued function can also be continuous and differentiable. A…

Q: Q5) consider the function f(x)= cos x-x30. Approximate a root of using Newton method .let xo= /4

A: Given function, fx=cosx-x To find the approximate root of the function using Newton's method.

Q: Q2: Derive the following functions sin2x 1. f(x) sec?x 2. f(x) = x²e*²

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Q: Let f(x) = = a) 9x +4 following. Simplify if possible. f(x) = f(a) a - X = . Evaluate the 4 A' for x…

A: The given function fx=x9x+4. We have to simplify the expression fx-fax-a and find the value of A.

Q: Use Theorem 7.1.1 to find L{f(t)}. (Write your answer as a function of s.) f(t) = (5t – 1) 750 4 S…

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Q: Let (t) , a) Find the domain of F(t) b) Find " (t)

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Q: Q4/ Answer the following (choose one) 1) Find F.T for f(t) = (1-5+(1-sin(21) 2) Find I. F.T for F(@)…

A: We will use the basic knowledge of Fourier transform to answer Question (1) because you have asked…

Q: Calculate us (t) * sin(t) using the definition of the convolution

A: Some of the Properties of Laplace transformation  Lsint=as2+a2Lu5(t)=e-5ssLf(t)*g(t)=Lf(t)·Lg(t)