*Problem 3.13 (a) Prove the following commutator identity: [AB, C] = A[B. C]+[A. C]B. [3.64] (b) Show that [x". p] = ihnx"-!. (c) Show more generally that [f(x), p] = ih- dx [3.65] for any function f(x).

Q: to 21. Use the Cauchy-Riemann conditions to find out whether the functions in Problems .1 to 1.21…

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A: The three problems are solved in the steps below.

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Q: 1. Write the general equation for the spherical harmonic Y,'(0, $) and identify Om($), P;" (cos 0),…

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Q: a. b. C. F(x)= F(x) = F(x) = f(x) = 2 + 5x²-x³ f(x) = 9x1/4-7x3/4 f(x) = -1/

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Q: Q3: Simplify the logic function F using Karnaugh map? F= ab + ac + abd + ābd + bcd + bcd + ābcd +…

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Q: Q 4. Apply De'Morgan theorem and simplify: (a) A + BC + AB (b) (A + B) (C + D) (E + F) (G + H)

A: solution: using De morh=gan theorem, simplify the boolean expression

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A: Solution attached in the photo

Q: 1 to 21. Use the Cauchy-Riemann conditions to find out whether the functions in Problems 1.1 to 1.21…

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Q: Find C: -A. Z 140.C 2. 0.015=c[3(1-e]* 2.

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Q: 19. Inz (Use 0 <0 < 2π.)

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