Math Answers

Using double integral fund the area of region enclosed by √x+√y=√a and x+y=a

The steady state temperature of certain medium is given by theta = e power 2x - 3 y. Find the linear approxmiation at (0,0)

A basket contains red ball and 9 white balls. If four balls are taken from the basket one after the other, determine the possible values of the random variable W representing the number of white balls and construct the probability distribution of the random variable W

" In a box containing 4 black balls and and 2 green balls, 3 balls are drawn in succession. Each ball is put back in the box before the next draw is made.Let G be a random variable that a green ball is drawn. Find the values of the random variable G."

Translate the statement into propositional logic using the propositions provided.

You cannot edit a protected Wikipedia entry unless you are an administrator. Express your answer in terms of e: “You can edit a protected Wikipedia entry” and a: “You are an administrator.”

Translate each of these statements into logical expressions using predicates, quantifiers, and logical connectives.

a) No one is perfect.

b) Not everyone is perfect.

c) All your friends are perfect.

d) At least one of your friends is perfect.

e) Everyone is your friend and is perfect.

f) Not everybody is your friend or someone is not perfect.

Determine the points of discontinuity of the function f and the nature of discontinuity at each of those points:

f ={-x², when x ≤ 0.

4-5x , when 0<x≤1

3x-4x², when 1<x≤2

-12x + 2x , when x>2}

Also check whether the function f is derivable at x = 1

Show that (p ∧ q) → (p ∨ q) is a tautology. 

Which of these are propositions? What are the truth values of those that are propositions? Write P and its truth value either True or False if Proposition and NP if not a proposition and write what made it not a proposition.

a) Do not pass go.

b) What time is it?

c) 4 + x = 5.

d) The moon is made of green cheese.

e) 2n≥ 100.

f) 1+2=5

Translate each of these statements into logical expressions using predicates, quantifiers, and logical connectives.

a) No one is perfect.

b) Not everyone is perfect.

c) All your friends are perfect.

d) At least one of your friends is perfect.

e) Everyone is your friend and is perfect.

f) Not everybody is your friend or someone is not perfect. Translate each of these statements into logical expressions using predicates, quantifiers, and logical connectives.

a) No one is perfect.

b) Not everyone is perfect.

c) All your friends are perfect.

d) At least one of your friends is perfect.

e) Everyone is your friend and is perfect.

f) Not everybody is your friend or someone is not perfect.