Proposition: There exist rational numbers a and b such that ab is rational. Proof: Let a = b = 2. Then a and b are rational numbers and ab = 4 is also rational. O Non-constructive existence proof Constructive existence proof Exhaustive proof O Reductio ad absurdum.

Q: 200)** = 700

A: 20032x+2=700

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A: Given the differential equation is y"" + 4y"' + 4y" = 0. Here the auxiliary equation is m4 + 4m3 +…

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A: Given 162, we have to rewrite in simplest form.

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A: given number of people probability 1 0.25 2 0.32 3 ? 4 ? 5 0.07 6 0.03 7+ 0.01…

Q: Solve the system +8 +t 4x1 -5x2 -I1 +2₂ +4x3 +2x4 +2x3 +2x4 = 3x₁4x₂ +6x3 +4x4 = -2x1 0550 +2x₂ +4x3…

A:

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A: We need to define absolute system of linear equations.

Q: x*Arcsinxe

A: we have to find

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A:

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A: One of the mostly used Direct-Sol7tion Method is the Gaussian Elimination method, used for the LU…

Q: How do I solve this ?

A: GIVEN: 6 - x - x2  if x ≤ 32x - 5         if x > 3

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A:

Q: Explain the concept of extraneous solutions.

A: Extraneous solution

Q: - 2 4 X-4 1- x

A:

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A:

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A:

Q: Solve and Graph the solution set of the system.

A: The given inequalities are  x+y≤4y>2x-3

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A: We have to evaluate the value of

Q: Solve the system: X- X, +2x3 + x4 = 0 2x - 3x, +4x3 = 5 X + x, + x3 = 2 4x, - 4x, +8x, +4x, = 3

A: The system of the linear equation can be solved using the gauss jorden method. The augmented matrix…

Q: how do i solve this?

A: Given that: The table ,

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A: Let us consider the given system of the equation Ax=B. Solve the equation using an augmented matrix,…

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A: Topic - Linear Equations We are given Shipping company A*Charges a one time $450 membership…

Q: Make a question with a complete solution Solving linear systems having infinitely many solutions

A: We make a question & solution for   Solving linear systems having infinitely many solutions.

Q: 1. 2xーリ-Z=/ ーX++2z= +%=D9 4メー平+2=9

A: Solve the system of equations in the following way:-

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A: Solve the system with substitutions

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A:

Q: How do I solve this?

A: 1,2,3....,23,24,25 are called element of set S.  Hence, set S has 25 element which mean n(S) = 25…