Recent content by lifelearner

  1. L

    Escaping from the solar system

    I just had to mention that this reply was really helpful in solving one of my problems as well. Thank You!
  2. L

    Is Division by Zero Defined?

    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.
  3. L

    Is Division by Zero Defined?

    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
  4. L

    Is Division by Zero Defined?

    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.
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    Simple algebra-calculus question

    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?
  6. L

    Simple algebra-calculus question

    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...
  7. L

    Intuition behind this algebraic question

    Should it not mean something as we are dealing with a practical question?
  8. L

    Intuition behind this algebraic question

    What is the 1000 mean in physical meaning? And of what significance is 2.5 times # of students?
  9. L

    Intuition behind this algebraic question

    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...
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    Intuition behind this algebraic question

    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?
  11. L

    Intuition behind this algebraic question

    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...
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