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let S subset R be nonempty. show that if u= supremum S, then for every number n element N the number (u-1)/n is not an upper bound of S, but the number (u+1)/n is an upper bound of S.
If f(x)<=g(y) for all x,y element D, then we may conclude that the upremum f(D)<=infimum g(D), which we may write as: Sup f(x)<=inf g(y) such that x,y element of D
Integrate ex/( √(ex+1))dx from 0 to ln3
Define a closed set.
Simplify (x^2+x+7)/(x-3)(x+4) - (x^2+3)/(x^2+x-12) I've tried it multiple times but I just can't seem to get it right!
Suppose F is entire and F(z) is real if z is real. Prove that F has at most one zero.
Find the probability of drawing a spade or a face card from a standard deck of cards.
Can I get help to solve this question:
Given the marginal cost function C'(x)= 0.4x-60 and that the cost of producing 100 items is $4350
Find the cost function
ABCDEFGH is a regular octagon.
Then what is the value of a(2n – 1)?
