A series RLC circuit has a resistance of 80 ohms, a capacitance of 10-2 Farads, an inductance of 20 Henrys, and an applied voltage of 20 sin 5t volts where t is time in seconds. Assuming no initial current and charge when voltage is first applied, find the subsequent current in the system.

Q: Find the Laplace transform L(2te3t cos 4t + u(t – 1/2) sin 2t)

A: Here we apply formulas of lapses transformation.

Q: Find the Laplace transforms of the following functions: 3 -4 (s + 3)² + 16 4s2 – 4s + 2 (s – 1)3 13…

A: Since you have posted multiparts questions and we can answer 3 subparts. So answered 1, 2 and 3.

Q: Use the accompanying tables of Laplace transforms and properties of Laplace transforms to find the…

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Q: True or False? Let L : V + W be a linear transformation. If all vectors in W have pre-images in V,…

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Q: Question 1 Determine the inverse Laplace transforms of: 2s2-5s-1 (a) (s+3)(s²+9)

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Q: 2 Calculate the inverse Laplace of by using Convolution theorem s(s2 +2s+4)

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Q: FindiL [+ sin 5+] IDS a1) s (s*+25) C. S?-25 di) (5?+ 25)2

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Q: Using Convolution theorem find the Laplace transform of f(t) = f* r²e="dr

A: Solutions

Q: Find the inverse laplace of s+3 s2-8s-9

A: Given,  s+3s2-8s-9

Q: Apply the properties of Laplace transform including the linearity property, shifting property, and…

A: # we are entitled to solve one question at a time, please resubmit the other if you wish to get it…

Q: 5. Let T : R3 –→ Rª be a linear transformation such that 1 2 Te Tez = Tez =

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Q: 3 2s² (s²+5)) Find L 4 transformation. by using the properties of inverse Laplace

A: We have to find the inverse laplace.

Q: pload answer sheets Find the Laplace transformation of H(t-4)e“-4)

A: Solution is given below:

Q: Gradient 3. Find the gradient of the following scalar functions. (d) p(x, y, z) = - √x + y² + 2 of…

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Q: Find the Laplace transform of the following function:

A: Le-2tt2cos3tHt-π2Use Laplace Transform table:   Ltkft=-1kdkdskLftFor t2e-2tcos3tHt-π2:…

Q: b) Find the inverse Laplace transform of the following function by using convolution theorem 45s…

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Q: The standard matrix for orthogonal projection onto a line through the origin making an angle of 0…

A: Given that the standard matrix for the orthogonal projection onto a line through the origin making…

Q: PS3.3 (NO MATLAB) Recall that a square nxn matrix is invertible if and only if it is row equivalent…

A: Given: A square n×n matrix is invertible if and only if it is row equivalent to the identity matrix…

Q: 2) 55-0+2 (2 (5-) (s²-4)

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Q: Let f (t) = est sin 9t Part (a) Find L{f (t)}

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Q: s+2 (s+4s+5) Inverse laplace of

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Q: 1 F(@) = %3D 2 - w2+j3w

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Q: › Let T: R² → R² be a linear transformation that sends the vector u = (5,2) into (2, 1) and maps 7 =…

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Q: 3e-4t-7e3t laplace transforms

A: Step 1: definition  Step 2: solution by definition Step 3: solution by formulas  Step 4:

Q: :/A/ Find the inverse Laplace Transformation by using convolution theorem the function 53 (s-5)

A: According to the given information, it is required to find the inverse of Laplace transform using…

Q: L{t + e³t} _Laplace dönüşümü için aşağıdakilerden hangisi doğrudur? I. L{t + e*} = + L{t + e³*} =-…

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Q: Find L ^ { 4s (s² +9)² by using the convolution theorem.

A: Sol