The Fourier Transform of f(t) = ei100t – 2. cos(100t) is.... %3D Oa 4πδω+ 100) Ο Β 2πδί+100) Oc no(w+100) O d. -2n5(w+100)

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Q: The Laplace inverse of L-1 is (s – 3)² + 6² O el-34) sin 6t O e(3t) sin 6t O e(3t), Cos 6t O e(6t)…

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Q: Find Fourier transform of i 1x ka f(x) = 1₁ 0 Ixl ya Then find: 05- Sin Pa Cospx dp , P of M.H sin…

A: Fourier transform of the function and deduce the given definite Integral

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Q: Find cos (z+2) dx. O-sin (x + 2) +C O sin (x4 + 2) +C O sin (x* + 2) +C sin (2* +2) +C

A: Let's find.

Q: | 12 csc² (62) cot(6) dæ = 12 csc (6x) cot(6x) dx : (Use Substitution Method) %3D 12 12 +C 12 sin?…

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Q: If z = 1+ 2i and w 3+ 4i, express in rectangular form 5 cos [Arg (2²)] + 5i sin[Arg w]

A: The square of a complex number z is the product of z with itself. Multiply 1+2i by 1+2i to obtain…

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Q: Consider the ODE: (2xsiny)dx + (x² cosy + cosy)dy = 0 Solve the ODE by separation of variables (as…

A: The ordinary differential equation is 2xsinydx+x2cosy+cosydy=0 Formulas used,…

Q: Which of the following is a 1-form? In the case of a 1-form express it as a linear combination of…

A: A 1-form is a linear function ν: φpℝn→ℝ that is v∈φpℝn Given  φνp=ν·dx1,dx2,...,dxn…

Q: dw = t³ and y = 7. Find dt Let w = cos(8x - 10y), where x =

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Q: 3. Find the Fourier transform 4. Find the Fourier transform of of 6e-ltl of of 1/(1+ t²).

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Q: (e²t) LE9+² +6t+73 L{ 5 cos (4+) } -4t L {ett sin (8t) 3

A: Given that the Laplace functions Le2tL9t2+6t+7L5cos4tLe-4tsin8t .

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Q: 7. To evaluate f-cos X-1 dx, the integrand can be transformed to? 1-sin? x

A: Follow the procedure given below.

Q: Let us assume that given function f can be represented on the interval [-T,7] as a finite linear…

A: `We are given the Finite Fourier series as follows:…

Q: Compute 4 sin(TTX) d dx A. 4 sin(TTX) B. 4sin(TTX) In4 C. 4sin(x) (πIn4).cos(TTX) D. 4 sin(TTX)…

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Q: Calculate the complex exponential Fourier coefficients for the signal shown below Note:- the…

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Q: 8 cos5(α)/(sin(α))1/2 dα

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Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t

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Q: If x(t) = 0.886 +3 cos (5wot) -sin(6wot) , then an , bn a0 5,-1, -6 O 0.886,-1,-6 O 5, -1,6 O…

A: To find the correct option

Q: 7 (a² +b°) 1 Prove that : dx = ở (a sin x+ b° cos² x)' 4a’b?

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Q: fex) Cos X ノ

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Q: 8cos (5x-1) cos (3x-1) dy

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