2. Consider the following set of linear polynomials with rational coefficients: E = {ar+bla.be Q. a 0} (a). Prove that E₁ is countably infinite. (b). In general, let E, denote the set of polynomials of degree n with rational coefficients. Prove that. En is countably infinite for all n ≥ 0.

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A:

Q: 18 43

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Q: 00 e-2y dy 0.

A:

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Q: 8. 5 912

A:

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Q: 45

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Q: 36 14

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Q: 1805

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Q: 40 10

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Q: 76J 1000

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A: The given number 243 can be written as 35 and the number 0.20 can be written as 1/5:

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A:

Q: 8 13

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Q: 10,308+982

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Q: 318-4*

A: Given:∫4xdx8-4x3

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A: 9 times 8 means adding 8 upto 9 times or multiply 8 by 9.

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A:

Q: 75%1

A:

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A: To find the value of a from the given figure.

Q: 6

A: 15×6This is a multiplication of two numbers 15 and 6.

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A: (6(a):- Given matrix Q is                              6(b) Singular Matrix:- A matrix is called…

Q: 2)148

A: We can solve this as follows: