Find the Fourier Cosine Transform of the function f(x) = ae^(-bx) if x > 0     if a = 15.1 and b = 4 . Then, evaluate the transform if w = 15.

Q: Find the implicet differentiation x3y3-y=x

A:

Q: t2 sin wt

A: We have the formula  L{tnf(t)}=(-1)ndnFdsn(s), where F(s)= L{f(t)}

Q: Write down Fourier Transform for the following non periodic function.

A: In this question, we have to write the Fourier transform of the non-periodic function. The function…

Q: y3D(i+sinx)(I-sinl)!

A:

Q: compute the derivative

A:

Q: 4. Determine exact values of 0 if 0 < 0s 2n given that tano - V3. Explain your process.

A:

Q: Use the Power Rule to compute the derivative: %3D lx=7

A:

Q: What is Properties of fourier transform

A: Properties are:-  1.Linearity 2. Time shifting  3. Congugation 4. Area under x(t) 5.Area under x(jw)…

Q: Verify the statement by showing that the derivative of the right side equals the integrand on the…

A: We write the expression using exponent and then integrate C=integrating constant

Q: Compute for a real root of 2 cos x – sin vx = i accurate to 4 significant figures using Fixed-Point…

A: 2cosx3-sinx=14  compute for a real root of equation using fixed point iteration method with an…

Q: Find out a real-life problem, which can be solved using the Fourier Transform Techniques. Also, give…

A: A Fourier series is a way of representing a periodic function as a (possibly infinite) sum of sine…

Q: Find Fourier sine transform of - and deduce that

A:

Q: In (In(ax))

A:

Q: Xyz. %3D Use implicit differentiation to find az/ar

A: The given function is ez=xyz.

Q: One side of a right triangle is 150 m long and its adjacent angle is π/3 radians, with π/60 radians…

A: Possible error

Q: Find the derivative. using chain rule 7 5. у %3 V1-14x2

A: The given function y=71-14x2

Q: what is the implicit differentiation of: ysin2x=xcos2y

A:

Q: 1. у %3D 4x? — Зх — 2.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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

A:

Q: find Fourier coefficients

A:

Q: theoretically define what is the derivative of a transform and what is its function

A: Given data is : Define what is derivative.

Q: Find the derivatives of the functions in Exercis

A: we have to find the derivative of the given function. g(t)=1+sin3t3-2t-1

Q: Which derivative rule is used to derive the Integration by Parts formula?

A:

Q: 2. у %3D 3 + 4x — х?

A: We can find the answer as below

Q: ¿What is a derivative of laplace transform, please define theoretically

A:

Q: Compute for a real root of 2 cos √x - sin √x = 4 accurate to 4 significant figures using Fixed-Point…

A:

Q: omplex derivative of (Log z)^3

A: Given: log z3 To find: The complex derivative of given function.

Q: 000 Find the solution of heat equation by Fourier sine/cosine transform, if initial temperature is…

A: Here we use separation of variables. Means we assume that  ......(i)  be a solution of the given…

Q: find the fourier series for the half-Period sine of the function fx) = sinx inthe period 8. xx Then…

A: Given that, f(x)=sinx in the period 0&lt;x&lt;π. ∫n=1∞1(2n-1)2(2n-1)2. The objective is to evaluate…

Q: Find the derivative of f (x ) =V sech( In (8x + 1)) - sech(In(8x + 1)) tanh( In(8x + 1)) A 2/ sech(…

A:

Q: By integration find the Fourier transform of Ax)=2r+1 _if þx|<1_and fx)=0 otherwise.

A: According to our company policy, I am supposed to answer only one question at a time. For the rest…

Q: . Compute for a real root of 2 cos VI – sin Va = + accurate to 4 significant figures using…

A: Given equation is 2cos x3 - sinx =14 And, initial guess:- x0 =π Also, 2cos x3 - sinx =14⇒ x  = cos-1…

Q: Find the derivative using the long method 3-t to

A:

Q: fer) sen ax %3D

A:

Q: ex + siny = cos(x³y²) %3D

A:

Q: S sin4xVcos4x + 1dx

A: Let u=cos(4x)+1 Then du=(cos(4x)+1)′dx=−4sin(4x)dx  and we have that sin(4x)dx=−du4

Q: ind the 9th derivative of f(z)=exp((-1 + isqrt 3)z) at z=0.

A: Given f(z)=e(-1+3)z Differentiating w.r.t 'z' f'(z)=e(-1+3)z(-1+i3) f''(z)=e(-1+3)z(-1+i3)2…

Q: Find the fifth derivative using product rule y = sin3xcos4x Where r is the last digit of your…

A: The fifth derivative of the given function can be found by differentiating the given function five…

Q: What is the substitute of the expression (9+x)/2 if [ dx -is transform by trigo substitution…

A: In the question we have to find substitution for given integral value.

Q: compute the derivative. 19. y=(2cosθ+5sinθ)9

A:

Q: Explain in your words how the Laplace transform is applied to solve a system of linear deferential…

A: The Laplace transform is an integral transform. The Laplace transform is mostly useful in solving…

Q: az and ax az Use implicit differentiation to find for x2 + 2y2 + 3z2: 1. ду

A:

Q: (In iny

A: To find the derivative of the given function- lny=lnxylny Here we will use the following formulas-…

Q: 3) Use haplace transform to solve y"+sy't by

A: