In class, we proved that 2 is irrational. Now, verify that (i) /3, (ii) /6, and (iii) 2+ v3 are all irrational too.

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Q: Question 12 -9 6. The eigenvalues of 1 are 6. and

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A: A = 201331,  b = 2600,  x^ = 5-3 Least square error (e^) = ||b-Ax^||  Now, first find the value of…

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: Find whether the shown expression below diverges or converges Show your solution and how you came up…

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Q: x²y" + x(1+x)y' – (1 – 2.x)y = 0. II

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Q: [AAN3] Find the equation of a hyperbola that has foci at (-3, 9) , (-3, – 7and vertices (-3, –4) ,…

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Q: 2 3 1 , V2 = 1 1 Let V1 = , V3 1 > V4 1 -1 [o] 9. t For what value of t is the set {v1, V2, V3, V4}…

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Q: = the power series ) 22n (2.x – 1)". Vn? +1 ermine the radius and interval of convergen ce of the…

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A: Given: A function g(t)=e-t2. To find: (a) Find the Maclaurin series for g(t), stating your answer…

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A: Using Leibniz alternating series test.

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A: We know that Two vectors u and v in Rn are A-Conjugate for a matrix A of size n×n if  uTAv = 0…

Q: Find the solution of the following IVP using the characteristic method : u + uu= y у , и(1,у) %3D Зу

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Q: Given de - and dy = . Then do and dq are not G- conjugate if G is Non of these 12 O A 0.5 0.25] [18…

A: We want to find matrix for which vectors are G conjugate

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Q: Question 30 Consider the linear transformation T: M22 → P2 given by a T = (a +6 +c+ 5d) + (a + b +…

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Q: EVALUATE THE LAPLACE TRANSFORM OF THE GIVEN FUNCTION USING APPROPRIATE THEOREMS. 1. f(t) = et+1 cos…

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Q: QI) Evaluate the integral dy dx using polar coordinate

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Q: If AT = ul v. A and if the vectors U and V satisfy Au 5u and Av = 7v, then True False

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Q: Question 12 -9 The eigenvalues of 1 are and

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Q: too Consider the power series > 22n (2.r- 1)". Vn? +1 n=1 3. Determine the radius and interval of…

A: A series will be  conditionally convergent if and only if the series  is convergent, but the series…

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Q: Let T : P2 –→ P2 be defined by T(p(x)) = p(2x + 3) and let B = {1, x, ²}. a If [T]3 = |d f, what is…

A: The solution is given below. Hope this helps.

Q: Question 2 3 Cansider the arthagonal basis B: of R 5 Let U = -64 15 If [v]B = 6|. what is the value…

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Q: (x+1)+-y² Suppose g(x, y) = {(x+1)++y² ' (-1, if (x, y) + (0,1) if (x, y) = (0,1) Find g,(0,1) and…

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Q: 3. 1 2 Let S = 3. 8. Which of the following statements describes the set S? The set is linearly…

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Q: Given do = and di = . Then do and d, are not G – conjugate if G is %3D 18 9 Non of these 9. 36. Ос O…

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Q: 9. Find all the solutions of 3x² + 2x + 1 8 (mod 63).

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Q: 17 37 Consider the orthogonal basis B = -3 10 of R³. -3 1 -9 11] Let V = -16 7 а If vB= |b|, what is…

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Q: Q4) Find plane area inside the polar functionr = 2 and outside the polar function sin -0) +1 in…

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