I. Find the LT of the following functions. For identities to find the LT of the given function. f(t) = -200 + 6 Sinh(4t) f(x) = 3e12x + 5 Cos(3x) %3D f(t) = 13t4 – 9e-5t

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Q: Qe. Find for the following functions: - 1- y = 2cot² x+1 xcos²(r³+1) 2- у%3D JI cos“(x³+1)

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A: 1). Given: z=sin3xcos4y   As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x…

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A: The velocity of the particle is given by: v(t)=(t2.5+4t)cos(3t)

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Q: Evaluate the following. x2 - x 1 dx J1+3x2 – 2r3 CO 2 dx 1+2 sin a x2 +2 dx r+1 2)

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Q: Find the approximate root of the unction f (x) 3 cos(4x) - x² sin a, xo using Newton-Raphson Method.…

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Q: B. Which of the following functions are of exponential order? 1. cos 5t 2. 1000e2020 t 3. t3sin 2t…

A: To find the exponential functions from the given functions. The exponential function is of the form:…

Q: Q1: Find dy/dx for the following functions (solve four only):- (1)5Y + 5*y = In sin-1 e* (4) y =…

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Q: Q.3 Evaluate the by using the appropriate u –sustitution. cos (ln x) dx

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A: Below given clear explanation .Have a look in hand written solution below

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Q: Find antiderivative of the following functions.  1. f(x)=sinx/(1+cos2x)  2. f(x)=x/(1+x4)

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Q: Find antiderivatives of the following functions. (a) f(x) = 2 cos(2a) sin(3x) + 3 sin(2x) cos(3r)

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Q: Given t2 - 25 dt 1+ cos2(t) f(r) 0. At what value of I does the local max of f(x) occur? H.

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Q: Q5. (a). Simplify the following by using Demoiver's theorem. (1– cose +i sin 0)6 (b). Examine the…

A: a) Consider: 1-cos θ+isin θ6. Let z=1-cos θ+isin θ Since 1-cos 2x=2sin2 x and sin 2x=2sin xcos x.…

Q: Use the Newton-Raphson method to find a root of the following function. Start from the initial guess…

A: Given f(x)=1x2-cosx-0.5f'(x)=-2x3+12xsinx f(7)=0.4f'(7)=0.0841x1=x0-f(x0)f'(x0)=7-0.40.0841=2.243…

Q: Solve the following D.F using I.F Sinx dy/dx +2y=tan^3 x/2

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Q: Differentiate the following functions: e2x+1x +2 .3 a) f (x) = sin (3x+2) %3D -1 sin(3x) V3t? +t-3…

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Q: a²z B. For each of the following functions z, find a² z and ду? a² z дх? дудх" дхду" 1. z = 2x2 –…

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Q: H.W.2: Use the Newton-Raphson method to estimate the root of f (x) = ex – 1.5 – -1 tan 'x. Employing…

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Q: Find the general antiderivative of each of the following functions. h(x) = sin 2x

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Q: H.w: Find the LT of the following functions: 1- f(t) = sin³t 2- f(t) = (t² – 5t + 6)e2t 3- f (t) =…

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A: we have to find the general antiderivative of the given function f(x)= cos x/2

Q: y = e3 (c, sin 3t + c2 cos 3t)

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Q: Find the LT of the following functions. please show complete solution. a.) f(t) = -200 + 6 sinh(4t)…

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Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x3-5x = 3…

A: We can have this using secant method

Q: 1.Find L(f) if f (t) equals: i. tcos5t ii. cos?nt

A: As per bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: b. Find y' of the following function using MATLAB y = sec(In(2M * x))e5x + cos(2Nx)

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Q: Q1\ Prove the left side equal to right side in the following : * L-1 (s² + a²y² - [sin at + at cos…

A: We need to show that:L-1s2s2+a22=12asinat+at cos atWe will use convolution theorem to show the…

Q: H.w: Find the LT of the following functions: 3-f(t) = cosh at cos at

A: Given, f(t)=cosh at cos at