31. Show that p→q and (p →q) ^ (q→p) are logically equivalent.

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Q: consider the function f(X) = -2x4 - 5x2 + 2x + 8 Using the false position method, after 5…

A: Sol:- Here  f(x)=-2x4-5x2+2x+8Here f(1)=3>0 and f(2)=-40<0∴ Root lies between 1 and 21st…

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Q: AUISIT SOSOM Student No.: FIDERPOOL. Name: Question 3 A hole that is 6m in diameter and 18m deep…

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Q: Prove that for all positive integers k and n, with k≤n, k k (2) - (2-1) = (²₁) + k k-1, k-1) •+ ..…

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Q: following statements: (a.) "There exists a natural number that is larger than some odd natural…

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Q: 2) Convert the following spherical equation in cartesian system. 3sin (g) + 2cos (p) = 0

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Q: (d) Find formulas for f and g such that lim f(x)g(x) is a 0. ∞o form that has a limit of 13.72. →∞…

A: To Find formulas for f and g such that  limx→∞fxgx is a 0 ·∞ form that has a limit of 13.72 .

Q: [b~ v (b^d)]~

A: See next step for truth table

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Q: 1 Math in the Modern World class in Velez College has 44 students. 20 are members of the Vital…

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Q: Problem 4. Let A 1 (³32) 5 and B = 1 2 3 4 (i) find a 2 x 2 matrix X such that AX = B, (ii) find a 2…

A: Given,        A=3152, and B=1234.

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A: Given that E is the splitting field of some polynomial over a field F of characteristic 0 and E:F is…

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Q: (p^~q) v r

A: Sol:- To write the Truth Table of given Tautology , we will consider three variables p , q and r

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Q: For any positive integer n, prove that 6|n(7n² + 5).

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Q: 5. find the steady periodic current. R = 25 S2, L= 0.2 H, C = 5 x 10-4 F; E(t) = = 120 cos 377t V

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Q: If p, q are prime elements in an integral domain R I with unity such that plq, then show that p and…

A: By definition, p and q are non-zero and non-units. Since p|q, q = ap , for some a ∈ R. Since q =q.1,…

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Q: 6. de || sin0+ersine Bertercos20 ;r=0 where 0 = EIN 2

A: The given equation is             drdθ=sinθ + e2rsinθ3er +er cos2θ

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Q: 7. A business firm contemplating the installation of labor saving machinery has a choice between two…

A: 7.Given that:- Cost of capital = 7%