r = 1 - cos 6 x* + y* + 2r?y? + 2r³ + 2xy² – y² = 0

Q: Prove kolmogorov's ax

A:

Q: Prove that AAB = (AU B) - (An B),

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Q: Show that both ℝ and ℝ2 may be covered by countably many open balls.

A: The answer provided below has been developed in a clear step by step manner.

Q: Show that Sn is solvable when n ≤ 4.

A: Given: Sn. We have to show that Sn is solvable when n≤4.

Q: . Prove that an→L = Jan] → |L]. (Make cas

A: Given that an is a sequence which converges to L that is, an→L. Then we have to prove that |an|…

Q: Show that the correspondence x --> 5x from Z5 to Z10 does not preserveaddition.

A: Given:Z5 and Z10. We have to show that the correspondence x→5x from Z5 to Z10 does not preserve…

Q: 5. Show that () = () +().

A:

Q: Show that J74) LOSK +Sinn 2. %3D TIX

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Q: prove that :: 2) (1+i) (1-1)² = 64

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Q: 4. If X and Y are independent RVs, then O2+ ,(@) = ¢,(@) × ¢,(@)

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Q: Prove that 1lellse TlI

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Q: 1)r =4rsin e

A:

Q: prove thati- Exi 2. (Exi) 2. (xi-X

A: Solution-: We prove that,

Q: CSCSK K-Cot2x

A: Since you have multiple questions, in our policy, i have answering the first  question for you. If…

Q: Show dz 4 In= 는I미페 - for a<0. x <

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Q: Prove that R(5, 5) < 50.

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Q: Given that x, y, and z . Prove that if (x^2)|y and (y^3)|z, then (x^6)|z

A: Solution: The objective is to prove that the given statement

Q: ind 5(s+2)(5+2)

A: Using method of Partial Fraction.

Q: State Green’s Theorem

A:

Q: Find gcd(1000, 34) and lcm(1000, 34) and verify that gcd(1000, 34) · lcm(1000, 34) = 1000 · 34

A: 1000 can be written in the form of prime factors as 1000=2×2×2×5×5×5 34 can be written in the form…

Q: let s be positive integer, then (2) + (;) = %3D

A: sC5 = s!/5!*(s-5!) And sC6 = s!/6!*(s-6)!

Q: for ne J, x is a (1-x)(1+x+x²+.. + x^²) = 1=x^²+₁ variable, prove that

A:

Q: 1 의( (eat – ebt)} = %3D la-b (s-a)(s-b)

A: Here we have to prove that,  L1a-beat-ebt=1s-as-b

Q: Find A*. 8i 1- i A = 16 3+i 2+i x - (; ; ) ? ? ? A* = ? ? ?

A:

Q: flx da

A: For a bounded function fx, there exists a positive number k such that fx≤k, x∈a, b So, the function…

Q: How would I prove this?

A: To prove: The statement

Q: Prove that if ACB, then A-B=0.

A: This question can be solved using the concept of set theory.

Q: 1 2 13 4 A =

A: This is a simple question based on inverse of the matrix which could be solved using the basic…

Q: Show that both R and R² may be covered by countably many open balls.

A: To show :  Both ℝ and ℝ2 may be covered by countably many open balls.