Obtain the Fourier series of : f%) = cos 2x, weth mter val -IL

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Q: what is the equation of this picewise function? 1000 8.0 40 2 10 -8 4-2 468 10 -2 -10 6. 4,

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Q: 2. Give atleast two examples of each iterative method. Answer the question 2 only.

A: Example 1: Solve the system of equations using the Jacobi Method 26x1 + 2x2 + 2x3 = 12.6 3x1 + 27x2…

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Q: 6. Find the general solution of the linear differential equation (2D² +7D – 15)y = 0. A) y=c,e"²…

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Q: Solver: y(ln(x))dx+(1+2y)dy=0

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Q: Consider the following integer programming problem: xị + 3x2 + 2x3 max s.t. x1 + 2x2 < 5, 4.x1 – 5x2…

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Q: r(t) ti+ 8 sin(t)j + 8 cos(t)k u(t) + 8 sin(t)j + 8 cos(t)k (a) r'(t) = (b) r"(t) = (c) D[r(t) ·…

A: Note: We are allowed to solve three subparts at a time so upload remaining parts as next question.

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Q: . Given x = 22 log3 (9) , what goes in the blank of y

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Q: 9) Find the limit, if it exists, or show that the limit does not exist: lim (x,y)→(0,0) xª + 3y4

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Q: 土

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Q: 3. Let F = (422, 5x, 3y). (A) Compute curl(F). (B) Parameterize each rectangular region and compute…

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Q: 2. Show that the following graph is not planar. USM 1999 083 IVERS

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Q: Find the solution of the given initial value problem in explicit form. Y = (1 – 5z)y",y(0) = - y(x)…

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Q: -4 8 2 Let M 6 -1 9 What is the value of the (1,1) element of the matrix? 12 17 11 -3

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Q: B. Volume of Solids of Revolution 3. Consider the figure below. Using Circular disk method, find the…

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Q: In writing responses to these problems, remember to communicate your mathematics clearly. In Task…

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Q: How many random errors of magnitude plus of minus one would be necessary to have 35 different ways…

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Q: . Find all relative extrema and saddle points of the Punctron. Use Jecond Partials Test where appli…

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Q: QIV2 = {a + bv2| a, b e Q} -le, that is, Q[V2] is a field. Find the degree of the field extension…

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Q: Solve the system of differential equations 31x + 56y y' .16х — 29у - x(0) = 7, y(0) 4 - The lesser…

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Q: Determine the vector field of FF. F(x,y)=8i−4j

A: Solution

Q: Prove that u = e-* sin 2y is harmonic. Find a function vsu f(z) = u + iv is analytic. Also express…

A: The function u=e-xsin2y is harmonic if ∂2u∂x2+∂2u∂y2=0 therefore  ∂u∂x=∂∂xe-xsin2y=-e-xsin2y…

Q: Find the general solution of the given linear differential equations y" - y = cos x - 5 sin(2x) By:…

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Q: 4 (6) Let U = {a, b, c, d, e, f, g, h } A = {a, f, h } B = {b, c, d, f } C = {b, c, d, e, g } %3D…

A: Given U = a, b, c, d, e, f, g, hA = a, f, hB = b, c, d, fC = b, c, d, e, g

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Q: if 6 seamstresses can sew 15 skirts in 16 hours than how many skirts can 4 seamstresses sew in 8 hrs

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Q: L{t(u0 – u1) + t²u1}.

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