Prove that, for any sets A and B, it is true that An(AUB) = A. Hint. You must do lhs = rhs and rhs lhs as in "let x E lhs. Then BLA BLA BLA, so x E rhs is true. Etc."

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A: We have to find surface area.

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Q: What is the LCD of 17/6x, 11/3x+3

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Q: 4. Describe how the graph of f(x) = x² + 5x - 4 translates to g(x) = x² + 5x + 5

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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A: To find the different quotient.

Q: If a = (2, 0, 2), b =(4, 2,-2), and c = ax (bx c) = (a x b) x c = = (0, 2, 5), show that a x (bx c)…

A: The answer is in step2.

Q: T(V₁, V₂) − ( √₂v₁ – V⁄2v₂, v₁ + vž, 2v₁ − v₂), v = (5, 5), w = (-5√2, 2, −14) = (a) the image of v…

A: Using linear transformation we find an image of v  and the preimage of w

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Q: Describe and compare the solution sets of x₁ + 7x₂ - 4x3 = 0 and x₁ + 7x₂ - 4x3 = -2. X₁ Describe…

A: Given:- x1+7x2-4x3=0 and x1+7x2-4x3=-2

Q: (Simplify your answer. Use integers or fractions for any numbers in the equation.)

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Q: Consider the linear system of equations: X=        x1 + x2 = 0               x2 + x3 − 2x4 = 1…

A: The given equations are; x1+x2=0 x2+x3-2x4=1 x1+2x3+x4=0 x1+x2+x4=0.

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Q: Suppose H (x)=3x³ +7. Find two functions f and g such that (fog)(x)=H (x). Neither function can be…

A: Given H( x ) = 3x5+ 7

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Q: 00.9x-0.3(x+4)=-0.15

A: Given: 00.9x-0.3(x+4)=-0.15

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A: We have to determine the unit digit

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Q: -6-5-4-3-2-1 X -4 0 4 -6 654 -5- -4- 321 -1 -2 234 -5- 3 56 -6+ y -5 11 1 2 3 4 5 6 X What is the…

A: It is known that the rate of change of a function is denoted by the slope of the function.

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A: Given equation is y=11sinπ6(x-4)+26

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Q: Which of the following is true for all sets S and T? Select one: O A. SOT SOT B. SOT SUT C. SUT SOT…

A: see below the answer and explanation

Q: For the real-valued functions g(x)=-6 notation. (8 ᵒh)(x) = Domain of g h : and h(x)=4x-7, find the…

A: Given g( x ) = x - 6x - 5h( x ) = 4x - 7

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Q: Determine whether the set is finite or infinite 15,20,25,...,35

A: Given set:- 15,20,25,.....,35

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A: Given functionsf( x ) = x2 + 3g( x ) = x +2

Q: 30. Q=(0, 0, 0), P with equation x - 2y + 2z = 1

A: Let a point ( x1 , y1 , z1 ) & a plane ax + by + cz + d = 0 then distance between them k =   ax1…

Q: Determine whether λ, is an eigenvalue of A with the corresponding eigenvector x;. :] 7 0 0 1 (a) λ₁…

A: Topic = Matrix Correct Option a) Yes b) Yes

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Q: This is the wrong answer！！！

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Q: Sketch the solution to each system of inequalities. 27) 5x+2y2-4 y > 3 4-3-2 X

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Q: Acme Annuities recently offered an annuity that pays 6.0% compounded monthly. What equal monthly…

A: Given, i = 6% compounded monthly  FV = $63000  t = 17 years

Q: 62. (a) Prove that ||u + v||² + ||u − v||² = 2||u||² + 2||v||² for all vectors u and v in R". (b)…

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A: We are asked to find the three vectors.

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Q: Find the radius r of the circle which has center (5,0) and is tangent to the line y = 2x. Or=5…

A: Given :Center 5, 0Tangent to line y=2x