2. n a geometrical progression first term and common ratio are both 1/(√3+ i). Then the 2 absolute value of the nth term of the progression IS (b) 4" (a) 2" (c) 1 (d) none of these

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A: Application of Calculus.

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A: Solution:-

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A: some of the properties of integartion and derivative ∫cosec2x dx=-cotx+C∫f(g(x))…

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Q: A⊂B, prove that if B is bounded, then A is also bounded. Is the converse true?(

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A: Given :y'' = f(x),y(0)+y'(0) =0,y(1) =0.First we will solve y'' = 0.y(x) = Ax+By(1) = 0 ⇒ A+B = 0…

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Q: 2. Find all values of z for which the following equations hold. 1 (a) e² = -16e. (b) e = √3-i.

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Q: 11. Let R and R' be two rings. A mapping f: R→R' is called an antihomomorphism, if f(x+y)=f(x) +…

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A: Solution :-

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Q: 3. Use Method of Variation of Parameters: [D² - 8D + 16]y = e4x sec²x

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Q: a) Find all solutions of the recurrence relation an = 2an-1+3⁰ b) Find the solution of the…

A: This is the problem of recurrence and generating function.

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A: ∂2T∂x2+∂2T∂y2=0----------(1) T(L,y)=160∘C T(x,0)=60∘C ∂T∂x(0,y)=0 T(x,h)=60∘C let T=V(x)U(y)

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Q: If f(n) = 2 + sin(2√a) is defined on the in [1₂6], h= 1/2, find the integrat value the numerical…

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A: Newton's cooling law is used

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Q: For 0≤x≤2л, solve the following equations:

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Q: 1. Compute (a) the characteristic polynomial of A, (b) the eigenvalues of A, (c) a basis for each…

A: As per the guideline we could answer the first question. Please repost remaining questions .