Find the exponential transform of the function {1, Pi/2

Q: Find the finite cosine transform of 1 – where 0<x< T.

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Q: -7 s(s+3) 2

A: Given: L-1-7SS+72

Q: determine the inverse Laplace transform of the given function.

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Q: 4 Find the Fourier Transform of f(x) where S(x) =e*

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Q: Show that the Fourier transform of f (x)= e*/2 is e

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Q: Q8 Find the Fourier transforms of: sin* - pn Sx< pn f(x) otherwise

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Q: Find a_0 from the Fourier series of the function f(x)=1/4 (tt-x)^2 * T^2/4 none 4/T TI^2/6

A: Consider a function: fx=14π-x2……1

Q: Find the fourier coefficient of the periodic function f(x), the formula is: f(x) = x (-n <x <n)

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Q: Find the Fourier coefficients of the periodic function f(x)=x-2x², (-<x<n); f(x+2) = f(x)

A: We have to solve by Fourier series.

Q: Find the Fourier Transform of f(x) where f(x) = e¯*

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Q: (1) = -e* sin (21 +n)

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Q: 3t x(t) = to

A: We have to apply the Laplace transform of the given function.

Q: find the fourier transform of logx u(t)

A: Unit step function: u(t)=1t≥00t&lt;0 Fourier transform of a function fx is  Fp=∫-∞∞fteiptdt…

Q: Q2: Find Fourier Transform (FT) of the function f(t) = e-bltl and plot this function in time and…

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Q: ) Determine the complex exponential Fourier transform for the following periodic signal shown. x(t)…

A: To find : Complex exponential Fourier transform for given signal

Q: f(x)= 23, X cosx x2 x2월 욀

A: This question is for Laplace transform not for inverse Laplace.

Q: ii) using the Fourier Transforms, Calculate dx. Jo (4x*)(9+x*)'

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Q: Find the cosine transform of a function of x which is unity for 0 < x < a and zero sin ap , for x2…

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Q: Solve the Laplace Transform f(x) = 2/x

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Q: 35-1 F(s) -

A: The given function isF(s)=3s-1s2+25

Q: b-F(w)=e"w - t

A: According to the definition of modulus function f(x)=|x|, the value of function f(x) is x, if x≥0…

Q: Q3/ Find Fourier Integral of the function f() = e-klxl , k>0

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Q: * + 3x + 6x = 0, x(0) = 0, x(0) = 3, x(t) =?

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Q: S(1) = >1

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Q: e at -e bt

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Q: Use the Fourier transform method to solve du k at ax2-Yu, -o∞ 0 u(x, 0) = f(x).

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Q: e2t+a (2 cos at – 3 cosh 2at) -

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Q: Find the Fourier transform of f (x) defined bv f x) = , a 10, > a and hence evaluate sin pa cos dp…

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Q: (b) Find the Fourier-sine transform (assume k ≥0) for 1 f(x) = x + x³

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Q: 4 1 5s 8 (s²+4)]

A: 45s1-8s2+4=45s-325ss2+4                  1 Using partial fraction decomposition…

Q: f(x) = = 1 2 cos: X x

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Q: Find the Fourier transform for f (x) xe c > 0

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Q: Determine the fourier series representation for the signal f (t) = e* sin (25

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Q: f (t) = cos2

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Q: Find the finite sine transform of f (x) if f (x) = x'in (0, n).

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Q: Consider the function 0, h(x) = х< -1 = {1 -1<x<1 x 21 Sketch the graph of h, find the Fourier…

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Q: 1 s³ (s-V5)

A: We have to fin the inverse Laplace transform of 1s3s−5 that is L−11s3s−5 First find the partial…

Q: where k > 0. s(s-k)'

A: Using Laplace transform of integrals  L∫0tftdt=1sFs Also,  πss-k=πsFs where Fs=1s-k

Q: · findd the fourier sine transform of f(x) = 7 A 9x 0<X<9 otherwise

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Q: find the Fourier expansion of the periodic function shown below f(x) = = sinx - n< x < T

A: we have to find the Fourier series of

Q: Obtain the complex form of the Fourier series of the function f(x) = %3D 0 <x<T

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Q: 1. Find the Fourier transform of the function h(t) 4 -+ 2e-nt2 - ei4nt

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Q: Solve for the Laplace transform of the function 8cos(at) and then solve for the value of a. Show…

A: Topic:- Laplace transform

Q: Find the Exponential Fourier Series of the function below; T T T A time T

A: In order to find the solution of the given question we will use the concept of complex exponential…

Q: Find the fourier transform of f(t) = e-2(t+4)ʻ sin (nt).

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Q: Find the finite Fourier Cosine Transform of f (x), where 0<x <"/3 when f(x) = (x – n when T/3<x<n°

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Q: 2. Find the Fourier fo O <x LR

A: Given function is fx=0, −π&lt;x&lt;01, 0&lt;x&lt;π. We have to find the Fourier series of fx. The…

Q: -1,-ㅠ T

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.