FIND INVERSE LAPLACE TRANSFORM, USE THE LAPLACE OF INTEGRALS -7 7. SS+ 2. s+)

Q: 7. Suppose X is a continuous random variable with 0sX s 4 with valid probability density function…

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Q: 4. Suppose X and Y are continuous random variables with the joint PDF f(x,y) = (x + 2y)/4, where 0…

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Q: find the surface area obtained by rotating the circle (x – 4)2 + y? =1 about the y-axis. %3D

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Q: Answer the question using linear programming simplex method. A dietician has learned from a…

A: We will form Linear programming from given data and then solve it graphically using corner point…

Q: 14. Prove that F Z[]/(1+ 2i) is a field. How many elements are in F? What is the characteristic of…

A: Z[I]\(1+2i) and the number of elements

Q: The objective is to identify the solution of the non-homogenous Ordinary Differential Equation (You…

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Q: Use Variation of Parameters to find the general solution of the differential equation a'y" +a*y" -…

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Q: The complex number z is defined by z = 3·z + 4·j where z is real. a) Find, in terms of æ, the real…

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Q: 25 4s(s2+

A: Inverse Laplace transform

Q: (-6+2i)) Simplify: (Co2) (1-8i)

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Q: Find the maximum value of := 3x + 2y Objecetive function subject to the following constraints. x20 y…

A: Feasible region: In a linear programming problem, a feasible region is the set of all points which…

Q: 511 Find the missing exponent. 57 5 Exponent only in the answer box %3D

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Q: 8. Let f(x,y) = x² – 8x + 2y? + 4y +7. - a. Find and classify all critical points of f. b. Does f…

A: I have used first derivative rule to find critical point and for classification I used second order…

Q: 11) 2(1-e Ans. F(s)- e ") Rnd the Laplace Tvans Form 2.

A: As per the company rule, we are supposed to solve one problem from a set of multiple problems.…

Q: The temperature at point (x, y) is given by T(x, y) = 100 – 3x² – y³. Find the direction from point…

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Q: Suppose X is a continuous random variable having probability density function (PDF) f(x). Which of…

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Q: 2. Solve the initial value problem. dy 4x - x-3 dx (x + 1)(y + 1) * Y(1) = 4

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Q: Let T be a linear transformation from M, 2 into M2,2 such that {(::)-[::} (::)-[: 1 0 1 0 1 0 2 00 1…

A: Suppose T be a linear transformation from M2,2 such that:T1000=1-102, T0100=0211, T0010=1201,…

Q: 6. Solve the initial value problem. ( tan (4y) - 1)dx + | 4x sec (4y) + dy = 0, y(0) = 1

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Q: 4 - 2i 2+5i consider the complex number z = 1+i 1-i Find |2| and arg(2).

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Q: 3. Find a general solution to the differential equation. y" - 10y' +25y =t-3 e 5t

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Q: A tank is being filled with a liquid. Z (t), given below, is the amount of liquid in liters in the…

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Q: 1?+Az-5 dx 23-1 Evaluate: 글 미교2 2 + 11| + 5v3Arctan (똥(2z + 1)) +C 글피교2 + z+ 1|- 3v34rctan ((2z +…

A: The area under the curve fx between two fixed limits is called the definite integral. A definite…

Q: Find the general solution of the given system. dx -9 + 4y %3D dt dy - -X + 2)y dt (x(t), y(t) = %3D

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Q: Find the solution using LU Decomposition: w + 2x − y + z = 6 −w + x + 2y − z = 3 2w − x + 2y + 2z =…

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Q: Finel the Laplace Trans Form 21 Ans. F(s)= 2(1-e ") 11)

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Q: f. f(t) = eat cos² b t.

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: 8 FINO POINTS THE ON THE CURLE IS Ose s T WHERE THE TANLENT 1. LINE HORIZONTAL VERTICAL.

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Q: Sketch the region A = {(x,y)|(ys3*)^(y2x²)} .

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Q: [MO42] Evaluate the following (Express all answer in Rectangular Form): a. cot log(1 – 4i)

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Q: Determine the sequence of the generating function A(s) = (1– 2 -9)2 |s| < 1

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Q: L[3t³e=3tcos2t]

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: (a) If ker(L) has dimension s, what is the rank of L? (b) If ker(L) # {0v}, show that L is not…

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Q: d the Laplace Transform of thes the Laplace Trans Ferm ITS-1+(ns+1)e² (0<t<27) Ans. F(s) 1- 1 = (1)f…

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Q: Decomposition Solve the system of three simultaneous linear equations by using Crout LU Method. 3x…

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Q: 6. Let F (x,y,z) = (x+ y, –2y + z, 8z – x) and let U be the sphere where x? + y? + z² with…

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Q: The complex number z is defined by z = 3-z+ 4.j where z is real. a) Find, in terms of z, the real…

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Q: Let G(r, s) be the graph with vertex set V= {(a,b) e Zx Z|1<a<r,1<b<s} and edge set = {(a,b), (c,…

A: Given G(r, s) is a graph with vertex set V={(a, b) ∈ℤ×ℤ| 1≤a≤r, 1≤b≤s} and edge set E={{(a, b), (c,…

Q: 2. Consider the subset a b S = 0 1 c : a, b, c € Z3 3 C SL3(Z3). 0 0 1 (a) Show that S is a subgroup…

A: Given :  S = 1ab01c001 : a, b, c ∈ℤ3⊂ SL3ℤ3 To prove :  (a) S is a subgroup of SL3ℤ3.…

Q: 2. Find a particular solution to the differential equation using the Method of Undetermined…

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Q: 7- x"(t) – 2x'(t) = 6 – 4t x(0) = 2 , x'(0) = 0 %3D

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Q: 8. Suppose X is a continuous random variable with -1 sXs1 and having valid probability density…

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Q: 4s + 12 F(s) =3-9s² + 23s – 15 а.

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Q: Consider the following directed graph. Identify the correct statement about the antisymmetric…

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Q: -) find the polar form of z, -) find the Cartesian form of (z/2)62.

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Q: Let f(x,y) = x² – 8x + 2y² + 4y + 7. a. Find and classify all critical points of f.

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Q: Determine a region of the xy-plane for which the given differentlal equation would have a unique…

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Q: Use Green's Theorem to evaluate the line integral. |v² dx + xy dy C: boundary of the region lying…

A: Introduction: The line integral ∫CF·dr geometrically represents the circulation of the function F…

Q: Determine the simplified form of Bj34 – 9575 – 8,07 – 6j152 O -9 - j O none of the choices O 9- j O…

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Q: (d) Suppose A is a 2 × 2 matrix such that for all x, y E R?, (Ax) · (Ay) = x · y Must it be true…

A: This is the problem of linear transformation.