Thank you all for your input. This question actually appears in Calculus by Varberg, Purcell, and Rigdon and I encountered while I was going through the pages to refresh my calculus.
Is there any way to formulate a proof by contradiction?
EDIT: The following site seems to have an interesting approach to this query:
http://www.friesian.com/zero.htm
Homework Statement
Prove that 0/0 is undefined
Homework Equations
See above
The Attempt at a Solution
Let 0/0 = a
Then 0/a*0 = 1
But a*0 = 0. So 0(1/0) = 1. But 0 times anything is zero, so 0 = 1, which is not true.
What I specifically do not understand is how the exponents, alpha and beta, have been manipulated to be ratios. The only way I think you can do that is by using logarithms, but I do not quite know how.
Anyone have any ideas?
1. Homework Statement , and relevant equations
How is A6 arrived at and *how* did they get the "Q" in A6?
Homework Equations
See above
[b]3. The Attempt at a Solution
Objective: Rid A1 of L. They simply substituted "C" in A2 into A1. But how did they get rid of the L? I don't quite get the...
I understand completely the algebra. However, the physical meaning of 2.5s is what I don't understand. Somehow I feel Venn diagrams might be useful; i.e: 8550 is revenue you get if you charge all persons $9. When you subtract 9s then you effectively "filter" out the students whom you charge $9...
How do you interpret in your words 2.5s = 1000?
That is, within the context of this problem, how do you interpret $2.5 per student times some number of students equals $1000?
Hi PF members!
I'd like some guidance with the intuition behind the following problem. I have provided my intuition as far as I can below but if anyone can help clarify it I'd be very thankful.
Question: Tickets to a concert cost $9.00 for adults and $6.50 for students. A total of 950...