Question 4: Homer has simple altruism, but with the following non-linear form: u' (x1, x2) - In(x +1)+o (In(x2+1)

Q: 26. If z = In(x² +y²), find x- ду Əx A) х с) у в) х-у D) 0

A: If z=ln(x2+y2), We need to find x∂z∂y-y∂z∂x.

Q: nsider the ideals I= (x,y) and J = (x- 2y) in Q[x, y). ad VI, %3D %3D

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Q: Q1/ Solve the differential equation by Undetermined coefficients. d²y dy 1- -3- e3x + 12x %3D dx2 dx

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Q: Find the Laplace transform. T?e2t sin 3(t – t)dt

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Q: The hill has the shape of a cone, which in the XYZ system has the equation z = 4 - sqrt(x^2+y^2) A…

A: Given that hill has the shape of the cone given by z=4-x2+y2 and the tourist moves uphill whose path…

Q: o add into figure 1 by drawing the directional link(s) to/from the variable X7 from/to the relevant…

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Q: 5 (9 9 () 2. Find a reduced residue system modulo 2", where m is a positive integer. in a reduced…

A: To find a reduced residue system modulo 2m, where m is a positive integer.

Q: Let H„(x) = (-1)" -w that h, E L² (R). , x € R, n E No, and let h„(x) dan e H„(x)e¯

A: Sol

Q: 14 Below is the state diagram for an NFA N. B start A 1

A: # as per the guidelines we are entitled to solve one question at a time (maximum three subparts ) ,…

Q: Consider the third order Cauchy-Euler equation at³y" +bl²y/" +cty/ + dy = 0. (a) Use a change of…

A: (a) The given differential equation is at3y'''+bt2y''+cty'+dy=0.........(1)

Q: Evaluate the integral by changing the order of integration in an appropriate way. 18 + z) dx dy dz…

A: Evaluation of triple integrals by Using order of change of integrals

Q: Solve the system of linear equations by graphing Sy=-3z 13x +y = 5 infinite solutions (0, 5) C (1, -…

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Q: what is the spanning fuzzy subgraph ? And give examples

A: Given : Spanning of fuzzy graph is mentioned in given example. We need to tell that what if fuzzy…

Q: d(x) = 5x(t 2d(t) %3D

A: Sol

Q: Forty commuters must decide between taking the GO Train and driving on the QEW. A passenger on the…

A: Sol

Q: .You are designing a spherical tank to hold water for a small village.The volume of liquid it can…

A: According to Newton Raphson method 1st find out two point between which roots lie  If root of…

Q: Find the equation of a polynomial whose graph passes through the points (-1,7), (0,2). (2,4)

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Q: Convert the Partial Diff equation to canonical form and find the general solution a²u a?u a?u +2…

A: Sol

Q: Use the future value formula to find the indicated value. FV = $4512; n= 15; i = 0.08; PMT = ? PMT =…

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Q: Use Laplace transform to solve the initial value problem x" – 9x = e¯3t , x(0) = 1, x'(0) = –1 1,…

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Q: There are 3 states and 20 seats. In 20 years, the number of seats was increased to 21. Suppose the…

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Q: Consider k : D –→C k(2) = %3D (1 – z Show k is 1-to-1 and find k(D).

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Q: 4. Let A = |2 5 2 2 (a) Find the projection matrix P for R(A). (b) Let b = |9. Find the least…

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Q: -1 M = 1 0 -2 L0 1 -3 | Which one of the following expressions evaluates to the matrix (M – I)-1…

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Q: Q5: Prove using the mathematical induction that for all integers n > 1, п(3п — 1) 1+4+7+...+ (3n –…

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Q: Is the conventional kinetic Bohm criterion, given by -> 1 1 -1 1 d. d. -f; dv < dv. dv - M; Vz me Vz…

A: Sol

Q: Q2\ Discrete system has unit sample response h(k), for which the z-transform 1+z-1 H(z) : 1 (1…

A: Sol

Q: 7. Evaluate the upper and lower sums for [(1) - 2 + sin x, 051S 7, with 2, 4, and 8. Illustrate with…

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Q: 3 2 Given Rn 6+ i– 6+ i- express the limit as n → 0 as a definite integral, that is provide a, b and…

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Q: Evaluate the following. Show complete solution and your answer must be in simplified form. Your…

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Q: The following information is provided for a one compartment drug X following first-order elimination…

A: Sol

Q: 5. Use Gauss-Seidel method to solve for the value of x,y and z. 5x + In 2y-4/3z 51.2118 2x- 5 In y +…

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Q: 1. Consider the curve C with parametric equations Sæ(t) = t3 – 3t +1 \u(t) = t(t + 1) defined for t…

A: Given curve C parametric equations are xt=t3-3t+1yt=tt+1

Q: Romberg Integration with 5 and 8 segments e* Sinx dx o 1+ x2

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Q: Both sets below are bases for P,: P = {pj, P2, P3} = {1+r?, 1+2t, t + 2r?} Q = {q,, 42, 93} = {1+3t…

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Q: Brad decides to purchase a $200,000$⁢200,000 house. He wants to finance the entire balance. He has…

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Q: Solve the differential equation below using series methods. %3D (- 8a? – 4)y'" – 8xy = 0, y(0) = –…

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Q: Use a trigonometric solution to find the magnitude of the resultant of the following coplanar…

A: Solution

Q: Suppase thut and such that (x?fH f'x) + 3x F(x) on and It exe If t i frowa Oh frow a

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Q: 1 2 31 -1 1. -2 1 2 -1 -3 -2 -3 0- 8 9. 2 41 \-1 6 -1 3 3 4 0 0 1 -2 | 2.

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Q: Q1: Solve the following recurrence relation an = 4an-1 - 3an-2 for n 2 2, together with the initial…

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Q: Let a, v > 0. Identify an appropriate closed curve in C in the upper half plane to evaluate a² + x²…

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Q: 10. (D² – 2D – 3)y = 0 when x = 0, y = 0, y' = -4

A: To find the solution of the given differential equation .

Q: Question 9 Line 3 results from a valid application of Material Equivalence to lines 1 and 2. 1. (L…

A: Sol

Q: Find the sum of the coefficients of ( 3x + 2y -2)⁸.

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Q: Problem: Solve the following equality-constrained optimiza- tion problem using Newton descent…

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Q: 1 11 1 5 5 3 3 35 5 4 4 4 4 Layout A 4 4 4 4 2.

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Q: 1- Solve the problem P.D.E. Uz = Uxx + sin(nx) + sin(2nx) 0 <x<1 0<t< 00 B.C.s "0,2) 0<t< 00 0 =…

A: Solution

Q: Q4. (*) Let W be a Brownian motion without drift. Find the distribution for the following limits:…

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Q: 2. Sole Laplace's equation for a rectangular region (0<x<1, and 0<y<1) subject to the given boundary…

A: Solution