Make a 3 x 4 matrix with rank equal to 1. -Make a 3 x 4 matrix with nullity equal to 1.

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Q: Use the graphs below to evaluate the derivative. (((x)) | x = 5 dx = 80 0 f(x) 80 x 80 0 80 g(x)

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Q: Find the general solution of the homogenous differential equation: (x²y - 8xy²)dx = (x³ - 9x²y)dy.

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Q: Solve the Dirichlet problem in the circle of radius 4 using polar coordinates: PDE: V²U = Urr + Ur+…

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A: Let us solve the above problem using Cauchy's integral formula and Cauchy's theorem

Q: 2. Find the position of a particle if its acceleration is (t) = ti+ej + e ²² k and r(0) = -j+ k.…

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Q: Find the general solution of the system x'(t) = Ax(t) for the given matrix A. 7 -3 4 A = - 13 7

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Q: how to derive the equations and show expected returns aggregate additively over a portfolio if…

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Q: Let S be the line segment connecting i to 1, oriented either way. Show that 1 1/2 d S dz ≤ 2√2

A: Sol.    Given that   S is the line segment connecting i to 1.i.e.,    S={(x,y): x+y=1,  0x,y1} .…

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Q: Recall that fn-f in measure if for any e > 0, {\fn(x) = f(x) ≥ €} → 0. - Suppose |fn| ≤ge L¹. Prove…

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Q: 54. Let A, a) UA₁. i=1 -2, -1, 0, 1, ..., i}. Find n b) i=1 A¡.

A: Let .To Find:a) .b) "As per the policy we are allowed to answer only 1st question please repost the…

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Q: 4 State whether the following functions are injective and/or surjective. Let R* denote the…

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Q: Let A = {X € R³ : X and (1, 2, 3), (1, 0, 1) are linearly depedent} Show that A is closed in R³.

A: A={X∈R3:X,(1,2,3),(1,0,−1)are linearly dependent} are same as  A=span{(1,2,3),(1,0,−1)}To show that…

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Q: 3. Let a, b, c be three distinct positive real numbers, and let B be the following subs of R³: B =…

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Q: 26.2 Analysis of multiple variable functions (#differentiation) Let f(x, y) = (a) Find the first and…

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A: Topological Sort: In a directed acyclic graph (DAG), a topological sort is a linear ordering of its…

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Q: dy (5) Find the general solution of the linear differential equation : - + (8x + 1)y = e-82. dx

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Q: Problem 9 Let P1, P2, P3... be a sequence defined recursively as follows. [Pr P²=Pk-1+2-3k k>2 an…

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Q: 3. y' +3y'′-18y=-108 m2+3m-100=0

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