2.1 Use an e-8 argument to show that 2.2 Consider lim 2-2 QUESTION 2 1²-16 ² + 2x²} = 1 g: RR with g(x)= if r=-1 Determine if the function is bijective and if so, determine the inverse. 2

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Q: (a) (b) Use the quotient-remainder theorem to find the gef{77, 42}. Find ALL integer solutions to…

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Q: 7 Let a and b be vectors in R" such that ||a||=||b||=2 and (a,b) = 1. Then ||ab||= ...

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Q: 2) Use guessing to find particular solutions to the following equations. b) y" - 2y' - 3y = 9t².

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Q: 3 -11 Let A = 7 -5 1. The eigenvalues of matrix A are... 6-62

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Q: Given that V= pz cos o, find VV and V²V.

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Q: 1. Use Newton's method to find solutions accurate to within 105 to the following problems. d. ex…

A: Solution :- Let f(x)=-(ln(2))3+3⋅(ln(2))2(e2x)+e6x-ln(8)e4x∴f'(x)=6ln(2)2e2x+6e6x-4ln(8)e4x Here,…

Q: Solve using De Moivre's Theorem to find the general solution.  y^(8) + 8y^(4) +16y=0

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Q: 2) y' = e²x-1y²

A: Solution to the differential equations by using variable separable form

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Q: Solve the following using Revised Simplex Two Phase Method Max. Z = X₁ + 4X2 +8X3 X₁ + X2 + X3 ≤6…

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Q: Zero is the only vector in an inner product space V that is orthogonal to itself. O True False

A: The statement is true. We give the justification in the next step.

Q: The point (3, 6) is on the graph of y=3f(x-1)-3. What is the original point on y = f(x)?

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Q: Kindly explain what "!" Means. also, provide steps of the equations

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A: Given equation is x2+y2-z2-4x-6y+12=0 ∴x2+y2-z2-4x-6y+12=0⇒x2-4x+4+y2-6y+9-z2=1⇒x-22+y-32-z2=1 We…

Q: 8. Suppose a, b e Z. Prove that a = b (mod 10) if and only if a = b (mod 2) and a = b (mod 5).

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Q: Use the dual simplex algorithm in order to find a solution if the constraint x1 <= 2 is added

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Q: Please see image

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Q: 3. Find the pointwise limit of 12 on S = [1, ∞o). Hint: Define L E R by L = 1/2 (L = 2 but you don't…

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Q: Let S be the set of all symmetric 2 × 2 matriceswith real entries.(a) Show that S is a subspace of…

A: Symmetric matrix: A=AT  Basis is a non-empty set spans the space and linearly independent.