QUESTION 1 Find the particular solution for the differential equation dy x2-3 = 2(y + dx dy dx' which satisfies the initial condition y = 0 when x = 3.

Q: Let W be a subspace spanned by the u's, and write y as the sum of a vector in W and a vector…

A: Given W is a subspace spanned by the u's where y=322-1, u1=1101, u2=-120-1 AND u3=-1011   To Write:…

Q: Consider the following model: price = Bo + Bilotsize + B2sqr ft + u Assume that the error variance…

A: The given model is  price =β0+β1 lotsize +β2 sqrft +u. The given error variance is…

Q: Let a (> 1) be an irrational number. Show that the kth convergent of the simple continued fraction…

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Q: Find the values of w, x, y and z in fraction form using (a)Gauss Elimination, (b)Gauss-Jordan…

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Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS: F(t) = for…

A: Fourier series expansion of the function

Q: 3. Let C1 be the circle r = 3 cos 0 and C2 the cardioid r = 1+ cos 0. (a) Find all point(s) of…

A: (a) C1: r = 3cos(θ) and C2 : r= 1+cos(θ)For point of intersection , equating equation of circle and…

Q: ((V x F)(x)) u = 1 lim r-0 Tr2 F. ds, he circle of radius r in R3 centered at x lying in the plane…

A: Sol

Q: Show that f(x) = is uniformly continuous by definition on the interval (-1,1) . 4 - *

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Q: T(E,)n T(E) = {0} and T(E,) + T,(E,) = F. %3D Show that T(E,) and T2(E2) are closed subspaces, i.e.…

A: Sol

Q: Use the method of Lagrange multipliers to optimize the function f(x, y) = xy subject to the…

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Q: =- 2)? – In x = 0, [1,2]

A: Sol

Q: Verify each equation, and express each left member in terms of t: 9. T. p +3 ((p+3)² +1] +1 =T P+2]…

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Q: 2y+y = x²e 3x. d?y thod - dx2 2. Solve by method of variation of parameter - 2 = ex sin x. %3D dx?…

A: Solution by a variation parameter method

Q: Solve the following equation in the complex number system. Express solutions in both polar and…

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Q: 3. Solve the Cauchy-Euler equation x + 4x+ 2y = e*. ax dy 4. Evaluate L (sin t- cos t)?. dx2 dx

A: Cauchy differential equation and it's solution

Q: A triangle is inscribed in a parabola such that the first vertex (point A) is at the origin and the…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: > ||X(jw)||, where ||x(s)||1 s)[ds and ||x(s)|| = sup|x(s)|. SER

A: Sol

Q: Slhow that for n > 2, 1 n+1 2n k=2 Here, we write II=m ak to denote the product amam+1… an.

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Q: A zero coupon bond is a bond that is sold now at a discount and will pay its face value when it…

A: given face value =$ 23000 year of maturity =19 years rate of return = 3.518% claim- what should be…

Q: with inner product product space Il x" =! Show that Let E be an inner Il Xx- x Il →0 nd ly, -yll->o…

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Q: Find aw/ar and əw/əs when r = n and s = 0 if w = sin(2x – y), x = r + sin s, y = rs. %3D

A: We have to apply the partial derivatives.

Q: What is the region of the solid generated by the graphs of a = y – 4y and a = -y ?

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Q: (iv) Let be an odd prime number and let r be the rational number 1 r = 1+ 2 1 1 + +... 3 Prove that…

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Q: the following: ve that for all k EN and x > 0, g(k)(x) = PkC e-1/x, for some polynomials på 9k(x)…

A: Sol

Q: Refer to the following theorem: If A is an mxn matrix with linearly independent columns, then A can…

A: Solution

Q: of both individuals be given by log(ci)+log(c2). Suppose that the ors are wA = (5, 10) and wB = (10,…

A: Sol

Q: * The given matices , verify directly thart (RS)* -5*R* and (E) - p*i* 3 i . R= 3i %3D 1

A: The given matrices are: R=123i4, S=3i70, To prove: (RS)*=S*R*.

Q: Q4) Find plane area inside polar function r 2 and outside polar function %3D r = -2sine in third…

A: If f is continuous and non negative on the interval α≤θ≤β with 0<β−α≤2π. Then area of the region…

Q: 2. - q + (q Ap) ~q (q p) T F F T F F 2

A: We have to find the truth table for given statement.

Q: Determine the equation of the circle graphed below.

A: We have to find the equation of given circle.

Q: Consider the normal distribution with mean 68 and standard deviation 10. Find the area under the…

A: We want to find area under the normal curve in the given interval.

Q: Q12. Let R be the region that lies between the curve y = x2/3 and the x-axis on the interval [2, 0).…

A: Given,Graph of the curve y=5x23R: Region between the given curve and x-axis.To find: a) Given…

Q: 1. Solve by D operator method d?y – 2y+y = x²e 3x dy dx2 dx 2. Solve hy method

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Q: istance of magnitude directed oPposite to the velocity, 1325 the velocity v is measured in m/s. Use…

A: Sol

Q: Viyellatex Company's (RMG alue chain in detail and include a (i.e., drawing) of its value chain. get…

A: Sol

Q: I. Solve the following. A. If U = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}, A = {1,2,3,4,5,6,8,10}, B =…

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Q: 26. TI са ke pc po FIGURE 5.1.13. The fermentation tanks of Problem 26. ra Three 100-gal brine tanks…

A: Sol

Q: |e*y dx+e* dy; C: r(t) = (t+ 1, ),-1si<3 Exercise 97.

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Q: I REPEAT. TYPEWRITTEN ONLY ANSWERS DO NOT ANSWER IF YOU ALREADY ANSWERED THIS. DO THIS TYPEWRITTEN…

A: This is a problem of tracing areas and counting.

Q: Find the Inverse Laplace Transform of the following functions 1 2) F(s) = s'+4s

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the eigenvalues A1 < A, and associated unit eigenvectors ū1, ū2 of the symmetric matrix 6 A 6…

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Q: Identifying Graph Components Use the graph G below to answer the questions. V2 V1 ei e2 V3 V7 ез ei1…

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Q: In Exercises 1- 4, apply the Jacobi method to the given system of linear equations, using the…

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Q: IExample 6.9. One entry in the following table is incorrect and y is a cubic polynomial in x. Use…

A: The problem can be solved by making difference table.

Q: Which adjacency matrix could represent this graph? Select one: O A. [1 2 1 1 2 0 2 0 1 2 1 1 [ 0 1…

A: We want to find the adjacency matrix of the given graph.

Q: 2. Three different types of computers need varying amounts of four different types of integrated…

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Q: ind the value of x and y given that X. - 24 3 土 %3D 2 -2x 4 -5

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Q: 8. For question, 7, what is the minimum and maximum for the union of the intervals A_n's? min S…

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Q: model of consumption/saving decisions, with house- hold lifetime utility given by U = In(c1) +…

A: Sol

Q: B) Find for the Implicit function: x2 - sin(xy) + y? = 5xy

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