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1. Find q and r if a = 48 and b = 17.
2. Find x in LaTeX: b=ax if a=23 and b=368
3. Find q and r if a = 21931 and b = 14237
4. Find x in LaTeX: b=ax if 10|-112
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- 3 Let A: (-1 -1 -1 +1 +1 -1 +1 +1), B: (-1 -1 +1 -1 +1 +1 +1 -1), C: (-1 +1 -1 +1 +1+1 -1 -1), and D: (-1 +1 -1 -1 -1 -1 +1 -1). S1=0 -4 2 0 2 2; S2=2 -2 -2 4; S3=0 -2 4 -2 2; S4=2 2 0. 2 -4 03; S5=-2 -2 2 -4; S6=2 2 -2 -4 -2 03; S7=0 -2 -2 -4 2 2; S8=-2 2 -4 -2 0; What data do A, B, C and D send in S1 to S8? (64)For (∃ x)(P(x,b)) Would an example of this being true if the domain was all the Avengers and x was green skin, then "b" being the Hulk would make this true. Am example of this being false would be: If the domain was all integers and x was positive, even integers and "b" was integers greater than zero.Limurians live on the planet Lemuria where the passage of time is measured in lims (days), limhas (weeks),limahas (months) and limaals (years), where each limha (week) has 5 lims (days), and each limaha (month) has3 limhas (weeks) and each limaal (year) has 10 limahas (months).Given the name of a Limurian and the number of lims (days) the Limurian has lived on the planet, write aPython program to compute and print the Limurian’s age in limaals (years), limahas (months), limas (weeks)and lims (days).Call the file containing your program limurian_age.py.Sample input (shown in bold blue) and output from the program is as follows:Please enter Limurian's name: LimardPlease enter the number of lims that the Limurian has lived for: 3547Limurian Limard is 23 limaal(s), 6 limaha(s), 1 limha(s), and 2 lim(s)old.
- Let M be the PDA defined by Q = {q, q0 , q1 , q2}, Σ = {a,b}, Γ = {a}, F := {q , q1}.δ(q0 , a , Z0) = {(q, Z0 ) } δ(q , a, Z0) = {(q , aZ0)} δ(q , a, a) = {(q , aa)} δ(q , b , a) = {(q1 ,e)} δ(q1 , b , a) = {(q1 ,e)} δ(q1 , b, Z0 ) = {(q2 , e)} Describe the CFG and the language accepted by MA group of individuals are living on an island when a visitor arrives with an unusual order: all blue-eyed people must leave the island immediately. Every evening at 8:00 p.m., a flight will depart. Everyone can see everyone else's eye colour, but no one knows their own (nor is anyone allowed to tell them). Furthermore, they have no idea how many people have blue eyes, but they do know that at least one person has. How long will it take for the blue-eyed individuals to leave?For all positive numbers aaand bbwith a>ba>b, ln(a−b)=ln(a)/ln(b)ln(a−b)=ln(a)/ln(b) True or false
- Given A = {1,2,3} and B={u,v}, determine. a. A X B b. B X BSuppose you begin with one pair of newborn rabbits. At the end of the third month, and at the end of every month thereafter, they give birth to two pairs of rabbits. Each pair of offspring reproduces according to the same rule. Assume that none of the rabbits dic. Let fn be the number of pairs of rabbits at the end of month n, just after the new pairs have been born. We have f₁ = 1, f2 = 1, and f3 = 3. Which of the following is a recurrence relation for fn? Select one: O A. fn fn_1 + fn_3 O B. fn fn-1 +2fn_2 O C. fn fn-1 +2fn 3 O D. fn = fn-1 + fn_2 + fn_3Let l be a line in the x-y plane. If l is a vertical line, its equation is x 5a for some real number a. Suppose l is not a vertical line and its slope is m. Then the equation of l is y 5mx 1b, where b is the y-intercept. If l passes through the point (x0, y0,), the equation of l can be written as y 2y0 5m(x 2x0 ). If (x1, y1) and (x2, y2) are two points in the x-y plane and x1 ≠ x2, the slope of line passing through these points is m 5(y2 2y1 )/(x2 2x1 ). Write a program that prompts the user two points in the x-y plane. The program outputs the equation of the line and uses if statements to determine and output whether the line is vertical, horizontal, increasing, or decreasing. If l is a non-vertical line, output its equation in the form y 5mx 1b.
- Suppose X|Y=1 is a Uniform(0,4) density, X|Y=0 is a Uniform(2,6) density, and P(Y=1) = 2/3. Calculate the Bayes error, i.e., the error rate of the Bayes classifier (you may leave your answer as a fraction).On an island, a group of people are living until a visitor arrives with an odd directive: everyone with blue eyes must leave the island as quickly as possible. Every evening, a flight will depart at 8:00. Everyone can see the colour of everyone else's eyes, but they are blind to their own (nor is anyone allowed to tell them). They also do not know the number of persons who have blue eyes, but they do know that at least one person has them. How long will it take the folks with blue eyes to leave?If f (x) = 3x + 4 , g(x) = 2x – 1 , h(x) = x² , then (f.goh)(2) = Your answer