Arbitrary unions of closed sets are closed.

Q: Find Laplace transform for the following functions ) f(t) = 2te¹

A: We need to determine the Laplace transform of the function: f(t)=2tet.

Q: When using the quadratic equation to solve, a negative value inside or under the radical indicates…

A: Since you have asked multiple questions here, we will solve the first question for you. To get the…

Q: Find an LU factorization of A = 2 -4 -2 3 6-9-5 8 en coo 4 6 -2 -2 -1 3 3 4 [Note: It will turn out…

A: We have A=2-4-236-9-582-7-394-2-2-1-6334 Apply R2→R2-3R1 (This gives L2,1=3)…

Q: . 53.Tokyo is located at (139° E, 39°N) while Manila is at (121° E, 14° N). Find the distance…

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Q: A second order system with a single input and a single output is the state equation given below It…

A: As per the question we are given the state space representation of a dynamic system. And we have to…

Q: Write the integral that would define the mgf of the pdf 1 1 π1+x² Is the integral finite? (Do you…

A: Solution :-

Q: EXPONENTIAL AND LOGARITHMIC FUNCTIONS Using a calculator to evaluate... se the. calculator to…

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Q: For the area bounded by the given curves Area enclosed by 9x^2 + 4y^2 = 36. Find the volume…

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Q: 1. Find the Fourier series expansion of the following periodic function: 0, f(t) = {(2-t) -2 < t < 0…

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Q: Evaluate or simplify the following. Your answers should not involve any trig functions and they must…

A: Draw base,opposite and hypotenuse .Find unkowns using pythagoras.

Q: Application of Optimization Problems. Use bordered determinants to check the following functions for…

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Q: QUESTION 3 Let f: [a, b] → R be bounded and set g(x) = (f(x))². Consider the following statements:…

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Q: A= 2. Give an example of a matrix, A, whose column space is in R³ and whose null space is in Rº. T-2…

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Q: Solve the differential equation by variation of parameters. 1 y" y² + 3y + 2y = 2 + ex

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Q: Q14: Use Euler's method to calculate the first three approximations to the given initia value…

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Q: 5. Consider the curve defined by x² + xy + y² = 1 The graph of the curve is shown below. dy (a) Use…

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Q: Five stacks of cubes are given below. umbers of cubes in the stacks are 4, 2, 6, 10-nd 8 (a) Move…

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Q: dP/dt + 2tP = P + 6t - 6 a) Find the general solution of the given differential equation. b) Give…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…

Q: The eigenvalues of the matrix are: -1, 1, 2 0, 1, 2 3, 0, 0 1, 1, 1 1 1 1 1 1 1 1 1 1

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Q: Find the Fourier series of the following functions 3. f (t) = { -1 for-1<t<0 for 0<t<1 }

A: Sol

Q: A furniture manufacturing company makes dining room tables and chairs. The relevant manufacturing…

A: Let x number of table and y number of chairs are made, then given LPP will be Max Z=90x+25ys.t.…

Q: 1. 1 3 2 3 1 6 5 4 5 39785 Given the matrix A= 2 (a) Find a basis each for N(A) and C(A). What is…

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Q: How would we show that H is cyclic?

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Q: Find the volume of the solid that is bounded on the front and back by the planes x = 1 and x = 4, on…

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Q: Q1. Find the equation of the plane determined by the lines : L₁: (x = -2+1, y = 21 +3₁ Z=4-1), L₂:…

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Q: 1. Find the Laplace Transformation of the following function. First express the function in terms of…

A: What is your table? Use the formula and properties of laplace transform we solve the problem.

Q: Consider the following initial value problem: x" 5x14x = sin(8t), x(0) = 2, x' (0) = -1. Using X for…

A: In your answer this will be 696 place of 632

Q: Determine the x-coordinate of the centroid of the shaded area by integration. I 28 16 Answer: X = 25

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Q: 9. The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the…

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Q: b) Find the Fourier Transform for the following function: - {ezu 0 F(t) = -1<t <1 otherwise

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Q: Consider the following initial value problem: x(0) = 2, x' (0) = -1. Using X for the Laplace…

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Q: Find Laplace transform for the following functions 1) f(t) = t cos(ot)

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Q: Given surface A₁: x = 2√√y + 1 1. Sketch surface A₁. Indicate proper rulings.

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Q: I'm

A: Given Solution is totally Wrong. Because there used Q+ with addition. We have to show that Q+ is not…

Q: Quaterback quick release can throw a football in a perfect parabolic arc to receiver 40 yards…

A: Given: Quarterback quick release can throw a football in a perfect parabolic arc to receiver 40…

Q: Two friends are renting a property with a monthly rent of $1,225.00. The total square footage is 975…

A: The total rent is $1225 for 975 square feet Therefore rent for 1 square feet is given by 1225975=…

Q: Jillean contributes a set percentage of her gross pay towards a 401k account and will have a total…

A: The percent increase is 22%.

Q: The estimated marginal profit associated with producing x widgets is given by P'(x) = -0.6x + 24…

A: The estimated marginal profit associated with producing x widgets is given by: P'(x)=-0.6x+24…

Q: Prompt Discuss what makes a function a rational function. Make sure to talk about their graph and…

A: A rational function can be defined as a polynomial which is the ration of two polynomials, in which…

Q: What does linear independence mean with matrices in linear algebra? I don't understand the concept…

A: In this question, we have to give the definition of linear independence of matrices in linear…

Q: 2. Mention the differences between Fourier series and ourier transform also solve two application…

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Q: Find the Fourier series of the following functions 2t 2. f (t) = { 20 for 1>t>0 for 2>t>1

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Q: Problem 2. Let A be a 3 x 3 matrix and b € R³. The solution set of the lin (written as matrix…

A: Given that A is a 3×3 matrix and b∈ℝ3. The solution set of the linear system (written as matrix…

Q: f(x)= 23, X cosx x2 x2월 욀

A: This question is for Laplace transform not for inverse Laplace.

Q: Determine the values of x and y for which the 2x2 matrices A and B are equal. 1 x A y -4 X = y = 1 B…

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Q: If the mean height of bonsai trees is 52 cm with a standard deviation of 10 cm, 95% of the trees are…

A: NOTE : As per our guidelines we have to answer the first question if multiple questions are posted…

Q: 2. Equip C[0, 1] with the inner product (f 19) = f(x) g(x) dr. Define the func- tions fi(x) = 1,…

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Q: The total amount of candy sold at Cassandra's Candy Corner can be represented by the function C(x) =…

A: Amount of candy sold year per type=C(x)/T(x)

Q: Suppose that v1=(2,1,0,3), v2=(3,-1,5,2), and v3=(-1,0,2,1).  Which of the following vectors are in…

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Q: Given two bases C and B of the same size, then PB+C =/= =/= (PC+B)-¹ True False

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