Find the given inverse Laplace transform. 1 s² +45+5 a. e'sin(t) b. e-sin(t) c. e-icos(2t) d. e- sin(2t)

Q: Problem 1. Let M be the Z-module ₂ Z₂ where p runs over the prime numbers, and let N be its…

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Q: Obtain the regular expressions for the following: (a) {a4n+3 : n ≥ 0} (b) {a, a4, a8, … }

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Q: The intersection of an arbitary collection of subspaces of a vector space is also a subspace.

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Q: 3 Σ1Σ1 Determine the value of the double sum.

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Q: Consider f(x) = e* and g(x) = e*+5. We wish to check if they are or aren't linearly independent.…

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Q: Consider the simplex tableau given below. P 0 0 1 X₁ 1 3 -6 X₁ 1 0 0 X2 3 2 -5 5₁ 13 1 0 0 (A) The…

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Q: Find a description of the following curve that uses arc length as a parameter. r(t) = (6 + 4t)i-3tj,…

A: curve is,

Q: Evaluate 2+ eizdz along two different paths of your choice.

A: As per the question we are given a complex integral which we have to evaluate along two different…

Q: The following time series represents the number of automobiles sold by a car dealership each of the…

A: xyt17212310413516

Q: Recall that with​ base-ten blocks: 1 long=10 units, 1 flat=10 ​longs, and 1 block=10 flats. What is…

A: To determine the fewest number of multibase blocks needed to represent a given numeral in a specific…

Q: Find the bearing from O to A.

A: In mathematics, a bearing is defined as an angle measured clockwise from north.

Q: Find the equation of the plane in the figure, which is tangent to the graph f(x, y) = 0.2x4+ 1.4y6 -…

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Q: Let A = 1 1 -2 1 -2 1 4 7 20-4-4 1 1 -2 1 The orthogonal complement of the column space of A is the…

A: The given matrix is                  We have to find the spanning set of the orthogonal complement…

Q: Instructions: The last line of each example gives the reference to the line or lines needed for its…

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Q: Find a vector that is orthogonal to each of the three vectors below: V1 = " V2 = 0 and V3 = 1 3 3

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Q: Find the equations of the normal plane and the osculating plane of (t) = (sint, - cost, t²) at the…

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Q: Q.1 Solve the following system of equations using Cholesky decomposition method. 4x₁ + x₂ - X3 = 7,…

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Q: 20. 3 5 Recall the power series expansion sin(x) = x - + 3! 5! 71 Use the given expansion to derive…

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Q: Solve the initial-value problem = y²e-t where y(0) = and dt and t≥ 0.

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Q: Set up an integral that gives the volume of the solid formed by revolving the triangular region…

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Q: what are the applications of Markov matrix?

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Q: Solve the given differential equation by undetermined coefficients. y""y" - 16y' + 16y = 6 - e* + ex…

A: The  given differential equation is,homogenous equation becomes,

Q: If H is a subgroup of G, then H is a normal subgroup in G if and only if H × A2021 is a normal…

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Q: If you invest $7392 in an account that pays simple interest of 30% How much interest will you have…

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Q: K Find the area of the shaded region under the standard normal curve. If convenient, use technology…

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Q: The following system of linear equations is inconsistent: x+y=z=7, x + 2y = 72 = -2, 2x + 3y - 8z =…

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Q: If f:G\rightarrow{}G' is an isomorphism of groups, show   that the order of an element a∈G is equal…

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Q: Write an equational-style proof for the following theorem schema (r→ (pVg)) + ((rv (pvq)) → (p \q))

A: Write down the given statement and the goalGiven:Goal:

Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D. F =…

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Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Anu Let f(x) =…

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Q: Use the contour shown in Fig. 7.11 with R→ ∞ to prove that sin x -dx = π.

A: We have to evaluate the value of integral with infinite limits

Q: Let P₁, P₁, and p₂ be the orthogonal polynomials described below, where the inner product on P4 is…

A: Let p(t) and q(t) two polynomial,  then inner product space evaluated at x0,x1,...,xn is defined as…

Q: Solve the given initial-value problem. y(x) = y" + 4y + 4y = (7 + x)e-2x, y(0) = 5, y'(0) = 8

A: We have to solve the given initial value problem.

Q: Solve equation in R, log₂ (x) + logx(9) = log₂ (x + 9)

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Q: Solve the following equations using matlab. 1. 2.) z¹+(5-14i)z²-(24+10i)=0

A: Given equation: Objective: To solve the equation and find the roots using MATLAB.

Q: On a particular day, a restaurant that is open for lunch and dinner.had 179 customers. Each customer…

A: DessertNo DessertLunch1129Dinner4594Total56123We have to find:a) Probability that the customer came…

Q: Use the Squeeze Theorem to find lim (In(cos²x). sin()). 20 Justify your answer.

A: if a function f(x) lies between two functions g(x) and h(x) and the limits of each of g(x) and h(x)…

Q: F = (x² - y)i + + (4z)j + (x²)k Find the curl (curl calculation) of the vector field?

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Q: OA. AX₂ Vu+v 3- Z 2- 1- u 0- 0 1 2 3 4 5 X₁ wu+w 4- 3- Z 2- 1- u 0+ 012 X x+2 Q X₁ Q 2 Q O B. V u+v…

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Q: If dim. W = m and is T - cyclic subspace of V, then dim. Tẫ(W) is m – k for all k≤m.

A: If dim. W=m and is T-cyclic subspace of V, then our claim is the the dim. Tk(W) is m-k for all  .

Q: 4. If m,n e Z, then {xeZ: mn|x} = {xe Z:mx}{xeZ:n|x}.

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Q: Using double integral to find the volume of the solid bounded by the surface z = √(4-x2-y2) and the…

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Q: Find the best approximation to z by vectors of the form C₁V₁ + C₂ V₂ 2 5 4 -2 Z= 0- 0 2 2 2 0 V₂ -4…

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Q: Can you type your answer it is really difficult to read

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Q: Consider the area A of the surface of revolution made by rotating the curvey=cot (x) from z=0 to…

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Q: Find the general solution of the given differential equation using the method of reducti and the…

A: Given differential equationand one solution Assume  the complete solution by method of reduction of…

Q: Question 2 Use the Laplace transforms to solve the differential equation dy² +4dy - dx² dx 12y =…

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Q: 4X₁ + X₂-X3 = -2 SX₁ + X2 + 2x3 = 4 Gx₁ + x₂ + x3 = 6 Хз

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Q: Estimate the minimum number of subintervals to approximate the value of S 0 error of magnitude less…

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Q: Suppose S and T are nilpotent operators which conmmutes i . e., ST TS. Show that S + T and ST are…

A: Provided that S and T are two nilpotent operatorswhich are conmmuting with each others That is ,…