Prove algebraically that  A+A'B'=A+B'

Q: Solve for X such that 2XT - A = B + (CI)", where 21 3 -1 A =|-1 5, B = 2 2 -3 and C = -2 3 10 1. -7…

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Q: Find A and B such that 2x-1/(x+1)(3x+2) = A/x+1 + B/3x+2

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Q: verify that A(B + C) = AB + AC

A: Now,

Q: Show that 4x2 + 6x + 3 is a unit in Z8[x].

A: We have to show that 4x2+6x+3 is a unit in ℤ8x.

Q: Suppose that x and y are real numbers such that y is 6 greater than x. What is the smallest possible…

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Q: (22) Let A = (-∞, -2] and B = (102, ∞).

A: Given A=(-∞, -2] , B=(102, ∞). Now, the union of two sets consists all those elements that belong to…

Q: Let A = (-0,0), B=(0,0) then AUB=

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Q: (2x) (3y+8) (2x+4) R 5. mZQ = mZO =

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Q: 3. Use the limit definition of the derivative to find the derivative of the functic a) f(x) = 2x² +3

A: The given function is The limit definition of derivative

Q: Expand the expression (1-x)³.

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Q: Let A = 2 0 and 1 -1 2 3. find A+(28)"

A: Given that A= 1201-12        and B=2-11103 find A+2BT

Q: Consider the system below. * = rx + y – x³ jy = -x + ry – 2y Chis system has a fixed point at (0,0).…

A: First we will calculate Jacobian matrix at the origin and then its eigenvalues. Then depending on…

Q: Q3: Prove that i) Intersection is distributive over union for arbitrary number of sets. ii) Union is…

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Q: how that ℝ3 = span( 1 1 2 1 2 1 0 3 -1

A: We want to show that  any vector can be written as linear combination of the three  given vectors…

Q: i want Z( zero) and Za

A: The known values are, x = 224, n = 237 The sample proportion is,

Q: Prove that Σ(;) = 0.

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Q: Consider the matrix B and the reduced row echelon form of B. 1 4 [1 0 0 0 1 B = -4 1 0 2 1 2 9 -7 0…

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Q: Find a number z (except 0) such that Az³ + Bz²+ Cz = D 2 1 3 0 -2 -4 00 ^-[ ] ³-R2 :]-[+]-[1] B= 1 2…

A: Solution

Q: E Show that x'+ 3x+ 2 has 4 zerosin Ze

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Q: Prove this theorem.

A: First Isomorphism theorem for Rings: Let ϕ be a ring homomorphism from R to S. Then the mapping…