amberoyster33

Using the following to answer the parts (b) - (d) below: Let 𝒙 𝒂𝒏𝒅 𝒚 be persons, 𝒋(𝒙, 𝒚) means person 𝒙 knows person 𝒚

(b) Translate the following statement bring using quantifier and logical operators (5 points): If Ken knows all people, then there exists a person who knows Ken

(c) Translate the following statement to English: ∃𝑦∀𝑥(𝑗(𝑥, 𝑦))

(d) Find the negation of ∀𝑦∃𝑥(¬𝑗(𝑥, 𝑦) ∧ 𝑗(𝑦, 𝑥)

Write an algorithm that takes a list of 𝑛 positive integers as input and find the location of the largest integer that is a multiple of 3 or return 0 if there are no integers that is a multiple of 3.

A 50 g block is attached to a vertical spring with spring constant, k = 4 Nm-1. The block is released at the position where the spring is unextended. What is the extension of the spring when the block is in equilibrium?

Give the big-O estimate for the number of operations where an operation is an addition or a multiplication, used in this segment of an algorithm (ignoring comparison used to test the condition in the while loop)

i:=1

t:=0

while i≤n

t:=2t+i

i:=i+2