1. Find these terms of the sequence (a), where a = 2-(-3)" +5". a) do d) as b) a₁ c) a₂

Q: (1) Use the counting formula to determine the orders of the group G of rotational sym- metries of a…

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Q: Problem. Show that S {₁ 【 (s − 2)(s − 3)(s — 6) J L-1 -6)} = 1/2 ²² - e³t + e

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Q: Wa salve the fallowing D.F... OTT CD³ +.6.D³ +11.D+6) ya www

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A: Kindly refer to Step 2 for the solution.

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Q: 00 Σ nsin n=1 31

A: The given problem is to check whether the given series is converges or diverges.

Q: (#12) Show 0 € int(S) implies Sº is bounded.

A: int(S) = interior of the set S S° = polar of S

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Q: (1) Let ƒ(x) = x³₁· (i) Show that f(x): = −3.₁¹, and then use the geometric sum formula to expand…

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Q: First 3 parts are solved. 5-28 Consider the linear program max x1 + x2 s.t. x1 + x2 ≤ 9 -2x1 + x2 ≤…

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Q: 1 2 3 4 5 6 7 8 9 10

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Q: Compute the flux of the vector field (x¹, — xy³), out of the rectangle with vertices (0,0), (4,0),…

A: Given vector field is (x^4,-xy^5). The flux is given by flux=∮CF⋅n…

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Q: Determine whether b is in col(A) and whether w is in row(A). 1 1 -1 1 400-0--- b = 3 W = 5 -1 -7 2 A…

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Q: Determine whether f(x) approaches ∞ or -∞ as x approaches 2 from the left and from the right.

A: We are given  f(x) = tan(πx/4)  We need to find the limit on left hand and right hand side of 2

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Q: Given the vectors A=2a + 5a +7a₂ X y B=-a +6a +3a_ y 2 Evaluate the following Ba-3A O-2.5021a…

A: Given: The given vectors are:                        A→=2ax+5ay+7az…

Q: Problem 12 Let f: A → B be a function. • Prove that f is injective if and only if E = f −1 (f(E))…

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Q: Vith respect to the above inner product, select all the orthonormal bases of R³. (1, 0, 0)¹, (0, 1,…

A: Orthogonal basis and orthonormal basis

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Q: SCS (6.1,51°,111°) to RCS(-4.1,5.2, 1.6) is R=R a +R¸a,+R_a_ ၄င် Evaluate

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A: Given, 98% confidence n=27s=0.24 mg

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Q: 12. Is this statement valid? If gas prices go up, more people will commute. The number of commuters…

A: If the gas prices go up, more people will commute.  The number of commuters went up, therefore gas…

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A: Given, x-5y3-x2y2-4dydx=0

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Q: Find an orthogonal diagonalization for A = U = U -2 - 2 - 3 i.e. find an orthogonal matrix U and a…

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Q: 4. Solve the equation using (a) linear equation and (b) the determination of integrating factors y'…

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Q: Given the three vectors A=-2xyz²a +3za - 2 az y B=4y²₂² a 2xz a – 6yz a - y z Ĉ=x²²a_+2yz²a₁ - 4x²y…

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Q: 10. What interest will be earned if $6300 is invested for 3 years at 12% compounded monthly? TATI

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