Question 13 What is the complete set of roots of the auxiliary equation associated with 2y''-y"- 13y'-6y=0

Q: Which statement describes the solution curves of the differential equation xdx - ydy=0? (A) A family…

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Q: Solve the following system by using Gauss-Seidel method when the initial value is X(0) = 0, & = 5 x…

A: Sol:- Total Equations are 35x+y-0z=7  0x+5y+z=13 x-0y+5z=16From the above…

Q: Forces acting on moving objects (cars, airplanes, ships, etc.) require the engineer to know…

A: Given the position vector is rt=t,t2,0 So, r't=1,2t,0r''t=0,2,0 and, r't=12+2t2+02=1+4t2 So, the…

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Q: Identify the coefficient of x5 in the Binomial Theorem expansion of (2x - 5)12 . Group of answer…

A: We have to find the coefficient of x5 in the Binomial theorem expansion of 2x-512 .

Q: Find the eigenvalues and eigenvectors of 0 A = -1 3 2 2 1 0 0 1

A: The given matrix is -100320211. The objective is to calculate the eigenvalue and eigenvectors of the…

Q: = A= putting A = (-1). 5 -2 -5 1 a= 3, 5 -2 -5 1 a b C d 3 5 7 d b= 5, C= 7, d=l -2 7 1 2 12 -3 d 1…

A: We need to determine the steps to transform the matrix: 53-21 -251-2 -57-39 1114 into the matrix:…

Q: Twins graduate from college together and start their careers. Twin 1 invests $2500 at the end of…

A: Given that Twins graduate from college together and start their careers. Twin 1 invests $2500 at the…

Q: A payday loan is made for five weeks, where the amount of interest owed per $⁢100 borrowed is $⁢20.…

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Q: n A pendulum moving in simple harmonic motion is modelled by the function s(t) = -5cos (), where s…

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Q: Q1) Solve the BVP u₁ = Uxx + sin 2x, u(0,t) = 0, u(π, t) = 0 u(x,0) = 0 00

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Q: A 12.5-inch candle is lit and burns at a constant rate of 1.2 inches per hour. Let t represent the…

A: Given:  Candle length = 12.5 inch Candle burn rate=1.2 inches/hr To find: (a) Expression in terms of…

Q: If you want to earn 7% annual simple interest on an investment, how much should you pay for a note…

A: Here in the problem given that              The annual Simple interest rate is r=7%  Rate of the…

Q: /Solve the following system by using Gauss-Seidel method when the initial value is X(0) = 0, & = 5 x…

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Q: Prove that the distance of the roots of the equation sin 0₁ 2³ + sin 0₂2² + sin 031 z + sin 041 = 3…

A: Given equation is  |sinθ1|z3+|sinθ2|z2+|sinθ3|z+|sinθ4|=3 Prove That : The distance of the roots of…

Q: Revenue The revenue (in dollars) from the sale of a infant car seats is given by R(x)=67x -0.02x²,…

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Q: 2. if √o = √₁ = 1 and √4 = 2 estimate √3 Compare by constructing Lagrange polynomial, then with the…

A: Given: 2. 0=0, 1=1, and 4=2 To estimate: The value of 3 by constructing Lagrange polynomial.

Q: Let x₁, x₂ are the roots of the quadratic equation x² + ax + b = 0, where a, b are complex numbers…

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Q: et J be the ideal of R = Cla, b, c, d] generated by a²b, b³c, cd, d5 a. a) Write A = V(J) as a union…

A: Given: The Given Ideal of R=Ca,b,c,d generated by a2b,b2c,c4d,d5a. To write A=VJ as a union of…

Q: Consider a wire with variable density lying along the curve r(t) = (√2t, √2t, 4-t²), 0 ≤ t ≤1 a)…

A: We will draw parametric curve and then by using integral will find mass and length of the wire .

Q: m) 2²+19x +35. o) ³+ 6x² + 5x + 30. n) 3x² - 2r-8. p) ³3x² + 4x - 12.

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Q: What is the general solution of the differential equation 2y"+y'-6y=0?

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Q: -Use the difinition of error function Prove that: 5 ( 1₂2 ) = 5T let: ere (x) = 2 33 et de

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Q: if √0 =0, √T = 1 and √4 = 2 estimate √3 by constructing Lagrange polynomial, then compare with the…

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Q: Prove that: B (x+1; y ) + B (x,y+1)=B (X,Y) let П (х+1) =ХГ (X)

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Q: This problem deals with a mass m, initially at rest at the origin, that receives an impulse p at…

A: Here we have given that a mass m, initially at rest at the origin, that receives an impulse p at…

Q: Prove that: B(x+1; y ) + B (x,y+1)=B (X,Y) let (x+1)= X(X)

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Q: Consider the circle shown in the figure. H H y (m) 11 10 9 8 7 6 4 3 2 1 0 012 3 4 567 8 9 10 11 x…

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Q: Q2/Solve the following equation from t= 0 to 1 with step size is 0.5 using Euler's Method. y (0) = 1…

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Q: Equation: y" - 2y' + y = 0 y= xe* a. b. y = ex On the interval (-∞0,00)

A: We have the differential equation  y'' - 2y' + y =0 We have to check if the given equations are…

Q: Refer back to the Learning Activity titled “Applications of Volume and Surface Area.” Problem 2…

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Q: ind the general solution for the following ODE. State which rule you are e initial condition is…

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Q: State the logical equivalence that makes the following logical equivalence true, pVg) ^ (p^q) = (p^…

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Q: balue for @ the Inverse Laplace of F (s)- F (0) F (S) 542 5 (8²41) S 3 s(544) 28 +1 (5²+45 +4)

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Q: Le the Kirchott's 100 150 106 -182 -68 68 matra I 82 -82 -168 Find the eigenvectors and eigenvalues…

A: We first find the new matrix by subtracting λ from the diagonal entries of the given matrix…

Q: Find the interpolating polynomial y = ax² + bx+c that passes through all three of the following data…

A: Given: The points are 1,13, 2,15 and 3,19. To find: The interpolating polynomial y=ax2+bx+c. All the…

Q: 1. Use the tables to find the z transforms of the following g. e-2n cos3n h. ensin2n i. 4n

A: To find- Use the tables to find the z transforms of the following g. e-2ncos3n h. e4nsin2n i. 4n…

Q: QI complet the table: X f(x) LOWE 0.5 1 L2(x) = 2.71828 LI(X) = (x-xo) (X-X2) (X1-X 0) (X₁-92)…

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Q: Prove: If AC [0, 1] and m* (A) > 0, then there exist x and y in Problem 1 A such that x - y) is an…

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Q: Find the DE of parabolas with vertex and focus on the x-axis.

A: We know that equation of parabola when vertex and focus on the x-axis is, y2=4ax-h  where a and h…

Q: Find an explicit solution of the given initial-value problem. y²-1 y(7) = 7 2-1 y = x dy dx Submit…

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Q: What is the order of the differential equation (y'*') ²-xy"=1 ? (A) 3 (B) 2 © 1 (D) 4

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Q: Solve: 1. (1+x)dy-yds-0 2. y dr (1+x) (separation of variables)

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Q: 3. Solve for the inverse Laplace Transform of 6(s + 2) (s + 1)(s + 3)(s + 4) g(t) =

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Q: 3.- ] Check that each given function is the solution to the initial value problem. y'(0)=2, y(t) =…

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Q: Find the unit normal vector on the following surface z = √√x² + y²

A: Please find attachment below

Q: Use the tables to find the z transforms of the following g. e-2n cos3n h. ensin2n i. 4n

A: The Z-transform of a discrete-time signal xn is defined as…

Q: Find the general solution for the following ODE. State which rule you are using. If the initial…

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Q: Twins graduate from college together and start their careers. Twin 1 invests $2500 at the end of…

A: Given that Twins graduate from college together and start their careers. Twin 1 invests $2500 at the…

Q: 3.- Check that each given function is the solution to the initial value problem. y(0) = 1, y'(0) =…

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