11r If F(r) and o is the surface (x – 4)2 + y² + z² = 49 oriented 3 outwards, what is the value of F.n dS? NOTE: Enter the exact answer. F.n dS =

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Q: . Show that the operators T₁,, T4 from R2 into R2 defined by (1, 2) (1, 0) (§1, §2) (0, §₂) (§1, §2)…

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Q: -x Let F(x, y) = (e + 4y)i + 8xj. Evaluate the integral Jo F. dr, where - C is the boundary of the…

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Q: QUESTION 14 Find up to isomorphism all Abelian groups of order 18.

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Q: Determine the Jordan form J of A and the corresponding transformation matrix M.

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Q: completely true. (3. Show a segment that would measure 6 cm to the nearest centimeter but 6.5 cm to…

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Q: VIII. Suppose that X,Y are uniform on x² + y² 0. Find 1. marginal pdfs fx and fy 2. E(X) 3. fy(y|x)

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Q: 1. 2. -2x 1 + 10 xe 2x -хе-2х -xe +

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Q: An orthogonal basis for the column space of matrix A is {V₁, V₂, V3}. Use this orthogonal basis to…

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Q: For each of the following, factor the matrix A into a product QDQ" where Q is orthogonal and D is…

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Q: Theorem 4.1. if r, s ER and r <s. Then there is q € Q with r <q <s (i.c. Q is dense in R)

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Q: Let x, y, A, u E Z. Prove that if 1 = Ax + µy then r, y are relatively prime.

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Q: 16230

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Q: QUESTION 13 Let F(x,y,z)=x²zi+yj-xz²k Find the curl of F. O a-1 Ob.1 Oc_x²-2² Od. x² + z² O ex² - 2²…

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Q: Find the Fourier series for the given function. 9 f(x): = 200 Σ πm=12m-1 2 9 f(x) = 9 - 1¹ 2₁ πm=IM-…

A: Given function is f(x)=9, -L≤x&lt;00,     0≤x&lt;0 with period 2L Let the Fourier series be…

Q: nd the Fourier series for the given function. f(x) = - {% 9 9 - fox) = 2 -² 2₁2²2_sin((2m = 1xx) Σ…

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