6. Find a prime number p for which the equation x² = -1 mod p has no solution.

Q: 1.5 (3-x Q1) Evaluate the integral dy dx using polar coordinate

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Q: Question 18 Let B = {1+x, 1 – x2, x + 2x} and p(a) = 7+ 10x + 11a?. You are given that B is a basis…

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Q: Question 35 Let B = {b1, b2} and C = {C1, c2} be two bases for a vector space V. You are given that…

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A: Solution :  Given that  1 + 4 = 5  2 + 5 = 10  3 + 6 = 21  8 + 11 = ?

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Q: 1.5 (3-x Q1) Evaluate the integral * dy dx using polar coordinate

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Q: Question 13 Let T : R? → R*be defined by 1. 8 T X2] x2] .2 If B = is a basis for R´such that T B is…

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Q: 3. 37 Consider the orthogonal basis B = -3 10 of R3. 3 1 5 Let v = -64 15 a If vB =|b|, what is the…

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Q: Using polor Codirote to Sad ared bourded buu ブニ4 1ノ=ル /

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Q: Q1) Evaluate the integral dy dx using polar coordinate

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Q: Question 10 Consider the linear transformation T : P2 → M22 given by [4a + c T(a + bx + ca2) : You…

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Q: +x (-1)" Given cos(x) = (-1)". n=0 (2n)! -x2n for all x E R, %3D 1. Express the integral cos x dx as…

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Q: by (E)- HA (). [6 11 If B = is a basis for R such that T|B is a diagonal ma %3D then the value of a…

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Q: Question 10 Consider the linear transformation T : P2 → M22 given by [4a + c T(a + bx + ca2) : You…

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