Consider the formula
A : ∃x.[(∀y.P(x, y) → R(x)) → ¬∃z.Q(x, z)]
(a) Find a formula equivalent to A that only has negation
symbols in front of basic formulas.
(b) Give an example of an interpretation where A is true. The
domain should be the set N.
(c) Give an example of an interpretation where A is false. The
domain should be the set N.
Equation: f(x)=x^3-6x^2+40
Find two numbers whose product is maximum, but whose sum is
2.
Repeat the previous problem using the product x^2 · y and the
sum 2?
Given:
S = [ 2, 1, 3, 4, 7, 5 ]
Z = 8
Create a function that will return true if numbers X and Y exist within S such that X + Y = Z, return false otherwise.
Code in Java 8.
a)Find two positive numbers such that the sum of the first number
and twice the second number is 108 and the product is a maximum
b)figure out the dimentions of a rectangular solid that has a
square base of maximum volume if its surface area is 216 square
inches