Laplace transform of f(t) = [e^(6t)]cosh(0.5t), use the table of shortcut formulas.

Q: Find the sine transform of 1 and deduce that et - eT TLX F, (cosech Tx)= 1 tanh (p/2).

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Q: Integral of arcsin(t) (dt) using trig substitution

A: To determine the integral using trigonometric substitution.

Q: Using integration, derive the Laplace transform of: * L(sinh at)

A: This is a problem related to integration. based on the general formula and concept we will answer…

Q: find Fourier Sine integral of fie) fras= ol> |.

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Q: Evaluate

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Q: Calculate the result of its integral using Gamma functions.

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Q: Find Fourier sine transform of - and deduce that

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Q: i sinycos ydy

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: use the Mean value Theorem to establish Isine-siny </2-y) Ve,yER

A: We will prove the inequality as following.

Q: -1 Integrate Jxsin 'dx

A: To evaluate : ∫01x sin-1x dx

Q: lim 3 2y ソ→o ソーSiny -sin.

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Q: Explain how to simplify the integrand of dx before x - 1 integrating.

A: we have to simplify the integrand before integrating ∫x+1x-1dx

Q: (a) Use differentials to approximate the possible propagated error in computing the area of the…

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Q: A scientist uses the one-point Gauss quadrature rule based on getting exact results of integration…

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Q: Calculate the left rectangle approximation of 3x- dx using five subintervals.

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Q: f(x) = cos(T.x)+ sin(27x).

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Q: Find the derivative y= 0 to x^4 integral of cos square root of t dt show all work

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Q: Change the hence order of integlation and evaluate Siny dydx

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Q: Find the intersection area between r = 3sine and T = 2 - sine curves.

A: given, r=3sinθ  and r=2-sinθ

Q: ) 3x - 4x= sin社 ; at t=0,x==

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Q: Give 5 example of Reciprocal rule of Basic Integration Formula.

A: Given: Give examples of the reciprocal rule of the basic integration formula The reciprocal rule for…

Q: Find the Laplace transform of tant. Show your full Solution.

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Q: prove that cosh(x + y) = coshx coshy + sinhx sinhy %3D

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Q: TRC Prove that CoshZ =Goshx Cosytrisinh X Siny

A: The given problem is to prove the following complex hyperbolic trigonometric identity.

Q: -f integration for

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Q: Find the linear approximation for f(x)=sin2x at x=5π6 and use it to approximate sin2(147∘). Round…

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Q: Find f cos(VT)daThis is part of techniques for Integration.

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Q: plot Y funetion of as over Hhe Peenge ☺.0l <*< l00.

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Q: In integrating the function fin Srdr using integration by parts, what would you choose for your de?

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Q: Using integration, derive the Laplace transform of: L(cosh at)

A: We will use the definition of laplace transform and concept of definite integration to derive the…

Q: find the fourier series for the half-Periof sine of the function fxj = sinx inthe period x Then find…

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Q: Evalate the integral (tanx dx by using the reduction formıla of tangent fumction. х

A: Let u=tan(x). then x=tan-1u and  dx=tan-1u'du=duu2+1

Q: Four positive numbers, each less than 130, are rounded to the first decimal place and then…

A: Let p,q,r,s be the four positive numbers and their product be w

Q: Give examples of basic integration using power rule

A: Give examples of basic integration using power rule let us integrate a polynomial given by, x2+2x+5

Q: Use complex integration to compute 1– cos X dx. x2

A: The objective is to integrate the function ∫0∞1-cosxx2dx

Q: Give examples of basic integration using reciprocal rule

A: Reciprocal rule of integration: ∫1xdx=lnx+C

Q: Hiwiy Express the ballowsing functions by Palar equationft 2.

A: To change a rectangular equation to a polar equation just replace x with (r cos θ ) and y with  (r…

Q: Four positive numbers, each less than 80, are rounded to the first decimal place and then multiplied…

A: Solve the given problem.

Q: An area is bounded by the x^2+10y-1600 curve  and the -xaxis. Find the moment of inertia (in units4)…

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Q: Prove the following continuous time Fourier transform relationship. sin(at) 1 X(N) = Continuous Time…

A: Fourier inverse of XΩ=1    -π≤Ω≤π0    otherwise is : F-1XΩ=12π∫-∞∞XΩejΩtdΩ…

Q: : Evaluate fxe dx to using Romberg integration to an error of order

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Q: ntegrate dx/sqrt(E-((kx^2)/2)) ;    E,k = const.

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Q: Integrate (tanx)^3(secx)^3

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Q: Find the sine transform of and deduce that TUX e 1 tanh (p/2). |(2x) F, (cosech rx) = %3D

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Q: IT Evaluate the proper integration from 0 to 4 of arctan x. Leave your answer in terms of r.

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Q: Find the integration of the function given using Transformation by Trigonometric Functions. S sin*x…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…