Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function. f(t)* 1 a 2a 3a 4a square wave

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Q: Use Theorem 7.4.2 to evaluate the given Laplace transform. Do not evaluate the convolution integral…

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Q: Practice problem 10 Consider F and C below. F(x, y, z) = yzeײ i + ex²j + xyexzk, C: r(t) = (t² +…

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Q: systems. x' = Ax Use matrix exponentials to solve the following A = 3 4 -5 -4 - x(0) = = [32]

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A: Introduction: Remainder Theorem is an approach of Euclidean division of polynomials. According to…

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Q: 2) Find the tangent equation for the function f(x) = x² + 5x at the point (1,4). *****: **********

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Q: Use the substitution y=x to find a general solution to the given equation for x > 0. x³y'(x) +…

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Q: don't understand how ba^2b^-1=beb^-1. Why a^2=e. I don't understand that.

A: how ba2b-1=beb-1?And a2=e?

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A: Solution is uploaded below.

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Q: Q4: Using Fourth - Order Runge- Kutta method, Find the time required for (40%) drop of water height…

A: The solution is given by

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A: In this question , we will find the rectangular equation.

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Q: 2. Find the general solution for the following differential equation: d'y dt² Justify your answers.…

A: We have to find the general solution of the differential equation

Q: 1. Consider the linear system −1 1 X₁ 2 2x₂ -1 2x₂ 2 2 a). Find the exact solution of the system.

A: As your question has multiple sub parts according to guidelines I am solving  the first problem…

Q: minimize: subject to: 2x₁ + 3x2 + 4x3 x₁ + x2 + x3 ≤ 1 x₁ + x₂ + 2x3 = 2 3x1 + 2x2 + x3 ≥ 4 x1, x2…

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Q: triathlete on the swimming leg of a triathlon is 130.0 m from the shore (a). The triathlete's bike…

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Q: Question 1 Let y(t) be the solution of y" + y = 46(t-2π), y(0) = 1, y'(0) = 0, then y(k) = .....…

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A: Since f(x) and g(x) are real polynomial. Therefore the composition functions are also real…

Q: 2) Find the limit for the following equations: a) lim (+1) x--1x²-x-2 x²-9 x-43 |x-31 b) lim

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Q: I don't understand why =[0,1,2,............,35]

A: <a> is called the cyclic group generated by a.As the binary operation is addition so for your…

Q: In Problems 21-24, find the volume of the solid bounded by the graphs of the given equations. x=y²,…

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Q: Let T: R³ → R³ be a linear transformation such that 7(1, 0, 0) =(4, -1, 2), 7(0, 1, 0) = (3, 1, -2),…

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Q: Let T: R² R³ be a reflection in the line y-6z. Find the matrix representation of this linear…

A: Solution is uploaded below.

Q: Find the Laplace transform of the function f(t)= cost, if 0 4T

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Q: Find the first three nonzero terms, or as many as exist, in the series expansion about x = 0 for a…

A: Solution:The equation isSinceThenAdd and subtract  to the left-hand side Apply the reverse product…

Q: maximize: 7x1 + 8x2 subject to: 4x1 + x2 ≤ 100 x1 + x2 80 x1 <40

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Q: SS dA, where R is the region bounded by the graphs y = x², X R y = {x²₁ x = y²₁ x = y²;u= X

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Q: (6) s(4) + 4s(³) + 5s(²) + 4s' + 4s = 0.

A: (.) Given differential equation is,     We find the solution by the method of differential operator.…

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

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Q: Use (8), • S* f(1) dt = £^¹{F(5)}, to evaluate the given inverse transform. (Write your answer as a…

A: we know that laplace transform of e^(at) is (1/(s-a)).

Q: Find an orthogonal basis for the column space of the following matrix 0 1 1 1 2 -M = 1 0 0 21

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Q: (1)-(6210 @ L (3) - (X + Xx+4y) = X. (@) L ( 3 ) = ( 3 ) しい روح

A: (i) The given  linear  transformation is  We know  that   be  the  standard basis  of  Thus, the…

Q: Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function. f(1) + F(s) = a…

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Q: Use the substitution y=x to find a general solution to the given equation for x > 0. x²y''(x) +…

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Q: A place of bone in the shape of a right croular cylinder is 7 cm long and has a radius of 19 cm. It…

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