Given y4) – 9y" – 81y" + 729y' = t² – 10 +t sin t, determine a suitable form for Y(t) if the method of undetermined coefficients is to be used. Do not evaluate the constants.

Q: ind the coordinate vector [x]g of x relative to the basis 1 B = X = -2

A: Coordinate vector of the given vector

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Q: using a horizontal shift between 0 and 27. -2 -1 2. -2 -4 -5 +9+ Amplitude: Preview Period: Preview…

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A: formula perimeter= 2x length +2x width  area = length x width

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A: 24ways

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Q: a;jA = Aô;*, Show that where A is a determinant of order three and A" are cofactors of a.

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Q: The table gives the readings from a laboratory experiment 1 2 3 4 Y 120 90 60 70 b+x A curve of the…

A: Given: Let us consider the table of readings from a laboratory experiments,

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Q: 3. Let f(z) = 1-z and y(t) = t+it for t E-1,1). (a) Sketch the image of the curve y. (b) Evaluate…

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Q: 10 Find the projection of u =-14 onto the -15 -4 -4 subspace W of R' spanned by -6 | and 6.

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Q: Find the volume of a cone with a base diameter of 10 ft and a height of 11 ft. Write the exact…

A: Given that the diameter of the the base of a cone is 10 feet and the height of the cone is 11 feet.…

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Q: 1. Find Solution using Newton's Forward Difference formula f(x) 0.10 0.1003 0.15 0.1511 0.20 0.2027…

A: The value of table for x and y x 0.1 0.15 0.2 0.25 0.3 y 0.1003 0.1511 0.2027 0.2553 0.3073

Q: How.) Find the absolute maximes and minima far the funCtion (4x-x') Cosy an the Pectangular plate…

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Q: Зх — Зу — 6z %3D -3 2х — 2у — 4z 3D 10 2х + Зу + z % 7

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Q: If and i are independent co-ordinates of a point, show that = &

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Q: 4. Use Method of Undetermined Coefficient to solve for the general solution of the given…

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Q: Find the Taylor/Maclaurin series centered at c F(x) = lnx, C=1

A: To find the Taylor series of f(x)=ln(x) centred at c=1.

Q: H.W: Evaluate the integral 1 1 2 y2 || x²e*ydxdy dxdy 1. 2. 0 y 1 y

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Q: Show that the following term β -reduces to 11 : [2, 3, 4] plus 2

A: Church Encoding : In mathematics, Church encoding is a means of representing data and operators in…

Q: i. Look for or create your own linear transformation T: R" → R". where n, and m are both R³, both…

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Q: Formulate equations for these problems to find the solution using Gauss-Jordan Elimination of the…

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Q: Solve u =4UKX ullo,t) =56 uCXro) =100 l00 25 * Sinx+5X

A: The given problem is to find the solution for the given heat equation partial differential equation…

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Q: The area of the region inside the circle r = 6 cos e and outside the cardioid r = 2(1+ cos 0), a > 0…

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Q: 3. This problem is about set addition and subspaces. Let di and d2 = span{di}, %3D 1 U = span{d2}.…

A: Sum of two subspace

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A: Here we have to find the length of the median of the given trapezoid.

Q: In Problems 25–28, express the solution of the given initial- value problem in terms of an…

A: Introduction: A first order linear differential equation is solved through finding the integrating…

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Q: Perform Gauss-Seidel Method to the given system of linear equations. using x, = 0, continue…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Let R be the region inside the curve C:r=1+cos0 and to the right of the line € : r = - sec 0. 2.1.…

A: Since you have posted a question with multiple subparts, we will solve first three sub parts for…

Q: 2. Find the general value of z in the complex number : - jl O A. J[(2/3)nk+ Tt/6] O B. J[(2/3)nk -…

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Q: Find the solution of the following system if (0) = 0 and y(0) = 1. z'(t) = 8x(t) – 3y(t) y (t) =…

A: We have to find the solution of the given system.

Q: If 3 Americans, 4 British people and 2 French people are to be seated in a row, how many seating…

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Q: OA g=0073² - 7 3331 + 724 889 OB. g-0.073-7.7651 + 724 889 OC. g=0434-7333 + 724 889 OD. g=0073 7333…

A: Here is the answer.

Q: O Proof: a Contradiction: V2 is an irrational number O The sum of a rational number and an…

A: Let us assume that √2 is a rational number. So it can be expressed in the form p/q where p, q are…

Q: How many elements are in the Cartesian product U x V? * Let U = {u is odd | 9 < u < 14} and V = {v €…

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Q: What value of x that will make the equation In r + = (r – 2)² true using Newton- Raphson method with…

A: Newton Raphson Method:- Here we consider initial value x0 =e=2.718182 and .

Q: 10. y' -y = x*y%a 3 10. y' – 11. у' + 2ху %3D2х3у3%; у(0) %3D1 12. y' + ху %3D 6х /y 13. y' +y = y-2

A: Multiple :    We have given differential equation ,  y' - 3xy = x4y13 Divide both sides by , y13…

Q: Use Newton s (or Newton-Rapnson) P2 With Po Z+1

A: Given: f(x)=2x+1-xp0=0

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Q: Problem 1. Let x, y, u and v be row vectors in R' obeying: %3 (2, —1,3), у%3 (-3, 2, 2), X = and…

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Q: Find the solution. (D³ + 6D² + 11D + 6)y = 0 - 3x B y = c,xe"+c,e – 3x -3x Dy=c,e-+cze+cze*

A: 21 Given differential equation is D3+6D2+11D+6y=0. We have to find the general solution of the given…

Q: Problem 4. (a) Define a linear operator on R? by performing the following operations in order: • a…

A: Introduction: Through a linear transformation, we can change the coordinate of a point. There are…