Homework (3): Find the lapla ce transforms using properties 3 -3t e 1- Ans. (s +3)* 2- (1+2) e 4s -4s +2 Ans. (s-1)

Q: A tank initially holds 40 gallons of a brine solution containing lb of salt per gallon. At t = 0,…

A: We will form differential equation for amount of salt in the tank and then solve it to get amount…

Q: x(t) =

A: To find the Fourier transformation of xt=u3t+2e-j2t

Q: Evaluate: L-1 [2s-9) ls²+2)

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Q: y = e√√²t sin√√2t √2 (s-√2)² + √2 A) √2 (s -√2)² + 2 √2 (s + 2)² + 2 B) 2 (s-√2)² + 2 9

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Q: Find the Inverse Laplace Transform of each of the following: 42 1.) 9s-30 9s-8 2.) 82 +24s 3s-16 3.)…

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Q: Question Find the equation of the graph given below. -T2 3TT 2 TT -2 -6- Provide your answer below.…

A: We have to find function of the given graph.

Q: . Using the tables and partial fractions, find the inverse Laplace transform of the following: 7s+5…

A: Solution

Q: Select all of the transformations that wil resut in a congruent figure O a- (12, O Taat t unts…

A: Here we have to select the transformations that will result in a congruent figure. a) x,y→(-y,-x) b)…

Q: Transform to rectangular coordinates. 2. 4et - 2en 3. 5c1 + 4c2 + 5i + 2j 4.-Зer + бед +4i - 3j

A: Given: Let us determine the transformation to rectangular coordinates. 2). 4et-2en 3).5c1+4c2+5i+2j…

Q: 553-65-3 ² 5°CS+1)

A: We have 5s3-6s-3s3s+12 Now, we simplify it using partial fraction decomposition:…

Q: Dear tutor, please help me in  inverse laplace transformation using only this table- formula  below,…

A: e) Given to find L-15s-42s2-3 Formulas using here L-1ss2-w2=coshwtL-1ws2-w2=sinhwt

Q: Chapter 7. Find the La Place Inverse Transform. 48 9-1{1/8 + A) 4t4 + 4 sin(4t) C) 2t4 + 4 sin(2t) 8…

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Q: H-w Find the inverse transforms L (Fis) Fcs) s*(s) Fis) ) z 35+7 525-3

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Q: By using the Fourier transform table, find the Fourier transform for the follwoing function A2(3t)…

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Q: Find the Jacobian of the transformation. y = 4v/w, x = 3u/v, Ә(х, у, 2) Ә(и, v, w) z = 8w/u

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Q: 1 F(@) =: 2 - w?+j3w

A: It is known that .  Use the formula below to compute the inverse Fourier transform.

Q: as³+bs²+cs+d F(s) = %3D (s+e)(s+f)(s+g)(s+h)(s+i)

A: Given,  Fs = as3 + bs2 + cs + ds+e (s+f) s+g s+h (s+i)…

Q: 1. Find the 2 transformations that occurred to map quadrilateral KLMN to quadrilateral K"L"M"N" in…

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Q: 3 Triangle ABC is to be reflected over the x-axis to form triangle A'B'C'. 21 B -6-5 -4 -3 4 5 -1 -3…

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Q: A triangle is defined by the coordinates P1(3, 0, 0), P2(0, 5, 0) and P3(0, 0, 7). The triangle is…

A: NOTE:- By Bartleby rules, only part (a) is done A triangle is defined by the coordinates…

Q: Rectangle PQRS is reflected across the x-axis. The image is P'Q'R'S'.Which two further…

A: Given Rectangle PQRS is reflected across x axis then image is P'Q'R'S'

Q: Find the Jacobian of the transformation. x = 2u + 8v, y = 6u + 5v a(x, y) a(u, v)

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Q: 1 L 's2-8s+25-

A: Find L-11s2-8s+25 as follows First rewrite the expression 1s2-8s+25 as shown below.…

Q: Find a linear-fractional transformation that take the unit disk to the upper half plane and z=0 to…

A: Here, we need to find a linear-fractional transformation that take the unit disk to the upper half…

Q: s2 -3s Find the inverse transforms of (s2+9)2

A: The inverse Laplace transform can be obtained using the Laplace transform table. The fraction can be…

Q: Use desmos to obtain the graph of the polar curve r = 2 cos - sec 0. This curve is called a…

A: (a)

Q: What type of transformation is shown? C В C' A B' A'

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Q: :) Find the inverse Fourier transform of F(w) : 3-4iw-w² [Hint: А В + x-b] (х-а)(х-b) х-а

A: solution given below..

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

A:

Q: If the Discrete Fourier Transform of the four point sequence{a, b, c, d}is given by {0,2i, 0,4i},…

A: Given that, Discrete Fourier Transform of four point sequence (a, b, c, d) is {0, 2i, 0, 4i} Here N…

Q: Convolution method: Find the function whose Fourier transform is 1 (4 + k2)(9 + k²)

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Q: Find Z transform of cose (Use fundamental formula) Then Find Z transform of cosne

A: Hh

Q: Find the inverse transforms of the following: 3 Ans. 3e4t 1) S+ 4 8s Ans. 8 cos 4t 2) s² + 16 6 Ans.…

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Q: O Reflection, Rotation, Translation

A: Generally the transformation that the conserve the congruity is termed as the an Isometry .i.e also…

Q: Question 2 Question: Consider the following transformation function T: R' R Which one of the…

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Q: Example F(s) = find the inverse Fourier transform: 6(s + 10) (s + 5)(s+8)

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Q: 1 ++²)

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Q: Determine the inverse transforms of the following. 2s 6 (a) (c) (S-2) (S-4) (b) 5s-8 s(s - 4) $²25…

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Q: obtain Fourier transformation of below functions: リそ(e)、e

A: Fourier transform of the function