PROBLEM 1. Consider [( p A (~r)) V (r^(-a))] V (~p V q), to answer the following questions: 1. Construct the truth table for the given compound proposition. 2. Prove that [(p ^ (~r)) V (r^ (~q))] V (~p V q) = F using the direct proof approach (axiomatic method).

Q: 7.) 1-) An= 6n +-4 i give the first sterms. 27) An = 4886 ; insert 5 terms. 3.) an = {-13, -6,₁ 1,…

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Q: 1. Find lim 12/13 - 12/1/20 x3 8 x→2- x² - 4x + 4

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Q: 0.1x₁0.4x2 +0.6x3-11-0 -0.2x₁ +0.5x₂ -0.1x3 = 6 0.3x₁ +0.7x₂ -0.8x3 + 9 = 19

A: 1st we will simplify  equations given and then use  cramers rule to solve it

Q: The representation of an even integer is 2k; and that for odd is 2k+1 or 2k-1 for some integer k.

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Q: 10. Construct the truth table for [(pq) v (p →r)] → (-q ^ p).

A: We want to construct the truth table as follows.

Q: 15 · (5), N = 9,₁ã · d = || -0.1961161351 -0.9805806757

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Q: FREE RESPONSE Use the table to answer the questions below. x 0 2 5 -10 -4 20 f'(x) 1 5 11 f"(x) 2 2…

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Q: If their positions are po = -3 (-²³). Ã₁ = (6).. 4 do they collide?

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Q: Use the Secant iteration method with in 10-6 a. x³ 2x² - 5 = 0,[1,4]

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Q: Linearize the following nonlinear systems. 1.- y = cos(5x³ - 2); 2.- y = 2x+3x1x2 5xỉ xả x = 10° X₁…

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Q: Find the volume of the parallelepiped with adjacent edges PQ, PR, and PS. P(-2, 1, 0), Q(5, 4, 5),…

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Q: 4. What is the type of the equation Uxx - 4U xy +4Uyy = 0? Show by direct substitution that u(x, y)…

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Q: give 5 ordered pairs of a one to many correspondents(5 examples) - give 5 ordered pairs of a many to…

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Q: g(t) = 4e13 (t+1) cos (6π fot)

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Q: 2. Show that if vER is a vector and that a ER is a real number, then v^ (av) = 0

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Q: give 5 examples of ordered pairs of a one to many correspondents

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Q: Q3) Plot a discrete graph using the equation below y[n]u[-1-n] -2.08 [n 1] +2.08[n - 2]

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Q: b) -4 ;= (-₁) ₁P₁ = ( 8 ), d -(-3). 6 If their positions are po = ,do they collide?

A: Given that two circles of radii r1=7 and r2=7. And three positions are p0→=−4−3 and p1→=−86. We have…