3. Are the products of the following functions even, odd or neither? a) f(x) = x³, g(x) = |x| b) f(x) = cos x, g(x) = x* + 3 c) f(x) = sin x, g(x) = log x + 5

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A: We have to find Derivative using definition and L'Hospital Rule.

Q: 2.1 Given that sinh x = [e" – e=*] - - show that dy cosh a. da

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A: Given,

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A: we have to do as per the question.

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Q: 31. Verify the formulas sinh-x = In |x + Vx² + 1| coshx = In |x +Vx² – 1| (for x > 1)

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A: Our Objective is to find the derivative.

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A: Please rate and feel free to ask any query about any part.

Q: •5 6- Let f(x)dx = 10, f(x)dx = 9, f f(x)dx = 2. Find f(x)dx and (10f(x) – 9)dx =

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Q: Example Let sinh(2)e f(2) Find the residue at z = 0.

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Q: Hw) Prove That:- 0 sinhz = log (z+lz*+) e coshz= Loy (2/23) ® Tanh'z = +2 1-2 Examml

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

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A: Let z=x+iy therefore, iz=ix+i2y=ix-y=-y+ix we know that  coshz=ez+e-z2 therefore, cosh…

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A: We have to proof

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Q: Definite integrals Evaluate the following definite integrals. Use Theorem 7.7 to express your answer…

A: Evaluate: ∫-22dtt2-9