Basis of the image: { Let 4 -1 0 1 7 A = 13 -11 3 -1 -1 1 -3 13 -1 1 -3] Find orthonormal bases of the kernel and image of A. Basis of the kernel:

Q: H.W:- Prave.that.he.Maclaurinsevi.of.f(x).=-C0JA 3. (い (2n)! 2 i 5... f.(x)..co3.X.1. メ n=0

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Q: iyz(x)= 20 (1) x-by=D0 (2) A) yo= (1 Blyn= C + 20 Cz こ (1 Cz e 2+x-2

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Q: Problem 3. Recall that a" = for all a > 0 and all b. lim (1+ -)" (1) Compute the limit lim (1+ -)"…

A: 1)  We need to find , limn→∞ 1 + 1nn First we will breakdown 1 + 1nn using binomial theorem ,  1 +…

Q: 3. Let C be the code consisting of solutions to AxT = 0, where %3D 1 10 1 0 1 1 1 0 0 0 1 1 1 1 A =…

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Q: Find 4°f(x) if f(x) = (3x + 1)(3x + 4)(3x+7)... (3x+ 19).

A: See answer below

Q: (1) Show that the series n+1 n -1 and n3 +1 n=2 converge. Be very clear about the steps you are…

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Q: Q2) Find the derivative of the function at Po in the direction of A. g(x, y) = x – (y²/x) + V3 sec-'…

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Q: .Using &-8 definition show that x3 – 4 lim x→2 x2 + 1 - 4 4 - + in

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Q: Express the iterated integral as an equivalent integral with the order of integration reversed. r64…

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Q: (2) Compute 2" - 37+2 5n-1 by explaining clearly why the series converges, and then actually…

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Q: discuss uniform continuity.

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A: This is a multi-variable calculus.

Q: 6) f(x) =xcos x 2n(-1)" • sin(nx) (n-1)(n+1)

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Q: Find the arc length of the graph of r(t) = ev2ti + ev2rg + 2tk, 0<t<V2 In 3 %3D NOTE: Enter the…

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Q: Find the solution of the following IVP using Laplace transforms given that f(0)=0 and f'(0)=0.…

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Q: Every continuous map T2 –→ S2 is homotopic to the constant map

A: To prove: Every continuous map from the Torus T2 to the sphere S2 is homotopic to the constant map.

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Q: ound your answer to the nearest hundre

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Q: Problem 22.8 Solve by Laplace transform Utt - 9urr = 0, 0 0 u(0, t) = u(T, t) = 0, %3D u (x,0) = 0,…

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Q: for questions including taxes: PST = 7% and GST = 5% Cassandra Donaldson Steinway purchases a sound…

A: Total tax = 5+7 = 12%

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Q: Give 5 sample problems for Orthogonal Trajectory (Application of Differential Equation). Provide…

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Q: A. Solve the following 1" order, non-homogeneous linear ODE: dy cos? x sin x +y (cos x) = 1 dx

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Q: Which of the following statements is (are) false if all vectors are in R"? O None of the statements…

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Q: 7- 6- (1, 5) e(5,6) 4 3(0, 3) 2- (6, 2) (4, 0) 1 2 3 4 5 6.

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Q: 25.2. Find the Laurent series for the function 1/[z(z-1)] in the follow- ing domains: (a). 0<Iz| <…

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Q: 2. Find the dual to the following standard minimum problem. Find yl , y2 and y3 to minimize yl +…

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Q: Problem 9.1. Harry consumes two lunches: salads and soup. The price of a salad is $12.50. Soup costs…

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Q: 10 3. Prove that the L{10e2} = s-2

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Q: Find the area of the region that is inside the circle r = 6 cos e and outside the cardioid r = 6(1 –…

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