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p p i was wrong because i didn t flip the sign however all explanations say i should subtract p but instead i


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1.Show that the following compound propositions are logically equivalent using truth table. ¬p → (q → r) and q → (p ...

q → r) and q → (p ∨ r). Q2. Write the converse, inverse and contrapositive of the statement: “I will score marks whenever I will study”. Q3. Convert the following compound propositions into English sentences for given p: It is below freezing. q: It is snowing. (i) ¬q → ¬p (ii) ¬q ∨ (¬p ∧ q ) (iii) p ↔ ¬q (iv) p ∨ q (v) ¬q ∧ ¬p Q4. Determine whether each of the statements is true or false. (i) If 1 + 1 = 2, then 2 + 2 = 5. (ii) If 1 + 1 = 3, then 2 + 2 = 4. (iii) If 1 + 1 = 3, then dogs can fly. (iv) Monkeys can fly if and only if 1 + 1 = 3. (v) A number is prime if and only if it is divisible by 1 and itself.
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2.I am not quite understanding how to solve a double slit light wave question and would like some help. The two ...

. The two point source interference pattern is set up in a ripple tank such that the wavelength of the waves is 5.0cm. Point P is chosen such that it is on the second nodal line and closer to S1. When waves from S1 and S2 meet at point P, how much further did the waves from S2 travel than the waves from S1
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3.I found this question in a book a while ago and don't know how to solve it. I try to ...

self. "Let A, B, C, D be points in this order on the line g and let P be a point in the plane that is not on g." Show, if the inequality |AP|+|DP|>|BP|+|CP| holds for all points P that do not lie on g, that |AB|=|CD|" I appreciate all ideas or solutions :)
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4.I have a question about this : An electric dipole has a dipole moment p is placed at an angle ...

0° with a uniform electric field E. Calculate the work is required to rotate the dipole from this orientation ( = 30°) to one in which  = 60°.
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6.I have a question about discrete logs, Does the discrete log problem always have a solution (a^k = bmodp with p ...

k = bmodp with p being a prime and a k and b are positive integers), and if it doesn't why?
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8.I am part of a Number Theory course and am quite stumped one question. Heres the question: Suppose that a ...

that a and b are two integers with GCD 1. Prove that if p is any odd prime which divides a^2 + b^2 then p ≡ 1 (mod 4).
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1.AU MAT 120 Systems of Linear Equations and Inequalities Discussion

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