Use appropriate algebra and Inverse Transform Theorem to find the given inverse Laplace transform. -¹ {3} 1. L-1

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Q: L 25+1 2 5² +2st s

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Q: 5. The figure below is a scale drawing of a garden. If the scale used is inch = 3 feet, then what is…

A: The garden has measures 12in and 134 in. We have to find the perimeter of the garden.

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Q: Show the Complex Fourier Integral Transform (Fourier transform) of the function defined below f(t) =…

A: ft=4for   0<t<10elsewhere

Q: For the given matrix A What is the rref of A. What is the rref of AT A = [1 2 1 1 -1 21 0302 5 1 4 5…

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Q: This question concerns the following exercise. Exercise Consider the linear transformation t: R³ R³…

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Q: The total number of positive integer solution to the equation (x+y+z)(a + b + c + d) = 15 is 02 4 03…

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Q: What are the Karush–Kuhn–Tucker conditions and what are they related to? b. Maximize function…

A: (a) Karush-Kuhn-Tucker Condition: For a convex non linear optimization problem, Karush Kuhn tucker…

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Q: PLEASE RE-DO THIS TASK, BUT WITH CORRECT USE OF MATRICES. Write matrices in matrix form, with pen.…

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Q: -y" - y = f(x) with boundary conditions y(0) = 0 and y(1) = 0. Obtain the Wronskian. Find the…

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Q: Question 3: Let f be a function that is even and continuous on the closed interval [-5,5]. The…

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Q: 7. (x − x² - y²)dx + (y + x² + y²)dy = 0. -

A: As students asked to solve only question 7. So we solve only 7th question.    In this question,  we…

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A: Given: Original equation, x2+y2=25; Shifted parameters, Up:3, Left:4We need to sketch the original…

Q: i Let A = [₁ + i ₁₁ ], B = [₁²; ₁²d- A. 8 B. -8 C. 8i . Then det (AB) = D. -8i E. 4i

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Q: f(x) = x³ - 2x - 6

A: Given that the function fx=x3-2x-6The point -1,-5

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Q: 2. The rectangular similar What are the values of x and y? prism prisms shown below are 12 in

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Q: Suppose that the set of active predictors is unchanged for Ao ≥A≥ ₁. Show that there is a vector o…

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Q: Point 1 (x,y) = (4.50, 9.00) and Point 2 (x,y) = (-6.00, -3.00). Calculate using interpolation…

A: We will use Lagrange's interpolation  formula to find interpolation  between p_1 and p_2.

Q: (e) Let another probabilty density fx,y be given by Sce-(√²+√)²+2√y Fx.x (2, 1) = { ce if x ≥ y ≥0…

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Q: Question 10 Translate the following statement into symbols. Dinner includes soup and salad, or the…

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Q: For the given vectors u and v, find the cross product u x v. *- (₁₁-1-1) u x V = u = (-2, 6, 3), v =

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Q: What is the truth value of following wffs? A(x): < 5 and B(x) : <7 (32)A(z) ) (3r)|A(2) A B(z)|…

A: Given: A(x): x&lt;5 and B(x): x&lt;7. To Determine: the truth values of following statements: (i)…

Q: The order of the element (2,9) in Z₁ × U 10² (Z is the additive group modulo 4 and U₁is Euler group)…

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Q: III. EVALUATION of LOGARITHMIC FUNCTIONS. Solve and evaluate the following Logarithmic Functions. 1.…

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Q: Example II.6. Prove that the linear transformation T: R² → R² whose standard matrix is [10] A = 2 is…

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Q: The system in Fig. 1 can be described by the following differential equation: x(t) + 3x(t) = u(t)…

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Q: PROVE RIGOROUSLY Consider the set A = {p + q√2:p, q€ Z}. (a) Show that for every x, y E R with x < y…

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Q: With the function f(x) = x¹ + 3x³ - x² + 8 in the Cartesian plane below. Calculates the average rate…

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Q: 3. For the function y determine its = 1-x a. MacLaurin Series expansion up to sixth degree. b.…

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Q: The value of the constant a in third order Runge-kutta method U ² / + ₁ = "₁₂ + + +/- ( k ₂ + ½¼-(k₂…

A: Given,             uj+1=uj+h6k1+αk2+k3. To find the value of α .

Q: Consider the linear transformation T: RR represented by T(x)= Ax. Find the nullity and rank of T,…

A: The given matrices a) A=122101 b) A=110211010 c) A=120111132121 d) A=111211000 We have to find the…

Q: ). A snowblower is packaged in a cardboard box that is 2' by 2.5' by 3'. a) Use the grid below to…

A: (a)  Make a 2' x 2.5' x 3' cardboard box.

Q: i) Solve the following system of equations using Gauss (or Gauss-Jordan) elimination: 3x+y =-2 4x…

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Q: 7] A dataset has four data instances given by x₁ = (20,5), x₂ = (8, -2) x, x₂ = (-6, -3), and xy =…

A: Covariance matrix of the set of data points.

Q: 3. The triangular prisms shown below are similar. What are the values of x and y? 8 cm 20 cm X 4 cm…

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Q: The formula for the cross-product of a three-dimensional vector in terms of its components is a…

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Q: skip if you already did this or else downvote

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Q: Let f(t) be a continuous function on (-∞,). Show that the particular solution to the equation U…

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Q: Given a scalar-valued function of multiple variables, f(x) = x₁sin(x₂) + x²x3 + x₁x₂x3 + x3 -]. [X3]…

A: The given scalar- valued function is fx=x1 sinx2+x22 x3+x1x2x3+x3where x=x1x2x3.The quadratic…

Q: A baker will supply 17 jumbo cinnamon rolls to a cafe at a price of $3.91 each. If she is offered…

A: A baker will supply 17 jumbo cinnamon rolls to a cafe at a price of $3.91 each. She is offered…

Q: Determine two linearly independent solutions to x2y′′+xy′−(4+x)y =0, x &gt; 0.

A: Differential equations are used to describe a system. It's state at every different value of time…