Let a ER and let: 1 -2 2 1 = (1 ) A 1+ a 4+a -2-a a a You may assume without calculation that chÃ(x) = (x − 2)²(x − 3). For which values of a, is A diagonalisable?

Q: Let (x1, y1) = (7, 2) and (x2, y2) = (1, -1). Find √[(x2 - x1)2 + (y2 -y1)2]. Express the answer in…

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Q: .4 dx (x² + 9)2

A: To evaluate the following integral.∫x4 dxx2+92

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Q: The characteristic of Z6 x Z, is 18.

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Q: | (x - i) i=-1

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Q: f(x) = √√x and g(x) = x² − 4x, find the following and their domains:

A: Given function:- fx=x and gx=x2-4x

Q: Let P(x) = ax² + bx³ + x +1 where a and b are real numbers. Find values of a and b such that P(2i) =…

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Q: is f(x) = -3x + 4 a bijection?

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Q: e) Solve [(-x'y)² + (x²y)³]²

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Q: [A(BxC) = -(AxC)xB -(A*B)-C -(AxC)-B

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Q: Find (a) v x w ,(b) w x v ,(c) w xw ,and (d) . v x v .

A: Solution:Given    v=-i+3j+2k              w=3i-2j-kFind:(a)v×w(b)w×v(c)w×w

Q: find anon-Zero let L(Y) = (ax+by), find and b and d Values of a 4 Such that LI

A: We have to find the value of  such that

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Q: B Sin3X 6653X + X3

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Q: ΔEFG,  EG is extended through point G to point H, m∠EFG=(2x+1)∘,  m∠FGH=(6x+2)∘, m∠GEF=(x+19)∘. Find…

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Q: Let a = -27 +53 + 4k. Find a.

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Q: Determine the real root of f(x) = x³ – 9x + 1 using false position method. Use 2 and 3 as a and b,…

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Q: Let z1 = -5 + 14i and z2 = 5 – i. Find z122 and (z1z2). 7122 (2122) ||

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Q: Evaluate dxdy √√3x + 4y over the rectangle [0,3] × [0,4].

A: We find required integral by using Fubinis method.

Q: If fx) = |3x| – 10 and g(x) = 2x³, what is (g ° f(-2)? %3D

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Q: Use Cramer's rule to find only the value of x2 , where a is a positive real number. 2x2 – x3 + x4 =…

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Q: A variable circle passes through the point A(a, b) and touches the x-axis. Show that the locus o the…

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Q: Find In such that: F(x) = x²³-8x²+ 9x +18=0

A: The given polynomial fuction is