30. In the sketch below, ZA is supplementary to LDEC. Prove that BE BL AB BC
Prove the following using appropriate methods. 10) a AC + AB + BC = AB + BC + AC b. AC + BC + AB EBC + AB+ AC
Home work AB tAC t ABC A+BC Prove by truth table (AB)(A+B)C = A BC A+B ABC 2 Prove hy tra teble AAB+BAB + BA AB RB) ABc
2. Prove the logic equations for: a) /ABC + A/BC + AB/C + ABC AB + BC + CA b) AB + /AB + /A/B = /A + B using the truth table approach. The / indicates NOT for the variable immediately following it.
Prove by algebraic method that a ̄ + ab + ac ̄ + a ̄bc ̄ = a ̄ + ̄b + c ̄.
1. (a) Prove by algebraic method that ¯a + ab + ac¯+ a ¯bc¯ = ¯a + ¯b + ¯c. (b) Find the CPOS of f(x, y, z) = (x + ¯y)y + ¯xz + x + y + ¯y(x + z).
(L33*) Verify the following commutation relations (a) [AB,C] A[B,C +IA,CIB (b) [A,|B C]l-IA,BC] [A,CB] The commutator [..] is an important operation in quantum physics. If the elements A.B.C... satisfy the following conditions, they are said to form a Lie-algebra (ab,c are real or complex numbers): ii) [A,Bl -IB.Al iii) The Jacobi identity [AJB CII + [BJCA]] + [CJA,BII :0 - BA Prove the Jacobi identity for [A,B] AB
(L33*) Verify the following commutation relations (a) [AB,C] A[B,C +IA,CIB (b) [A,|B...
Prove the following
- AD is congruent to BC (diagonals are congruent)
- AB is parallel to CD
- angle SUT is less than pi/2
- RS is less than or equal to TU
2 Consider the following quadrilaterals in Neutal acome ky ㄗ 乃
(S.D AB ) = 30 m (S.D BC ) = 40 m (S.D CD ) = 60 m (V.D AB ) = 30 m Ø BC = 30° 45' Slope % CD = %20 Calculate the percent slope between AD.
a. Write the truth table for the following expression A 'BC + AB 'C' + A 'B 'C' + AB 'C + ABC where A' indicates not A. b. Prove that abc' + bc'd' + bc + c'd = b + c'd c. Draw the NAND gate implementation for F = BC + AB + A'B'C'D
8. (2 points) Consider the mechanism below Step 1 (slow) A2 BC AB+AC AB BC B2AC Step 2 (fast) B2+ 2 AC overall A22 BC What is the rate law of the reaction? a. b. What compound is considered an intermediate?