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Advanced Calculus Fitzpatrick 2e

  1. Aug 26, 2008 #1
    If anyone of you got the book Advanced Calculus 2e by Fitzpatrick I would appreciate your posting of the questions 14, 15, 16 on page 20. My order of the book hasn't reached me but I need to turn in the homework tomorrow. I just need the questions.

    Thank you.
  2. jcsd
  3. Aug 26, 2008 #2
    Here are the questions:

    14.(Cauchy’s Inequality) Using the fact that the square of a real number is nonnegative, prove that for any numbers a and b
    Prove that:
    [tex]ab \leq \frac{1}{2} \left( a^2+b^2) [/tex]

    15. Use Cauchy's Inequality to prove that if [tex] a \geq 0 [/tex] and [tex] b \geq 0 [/tex] , then
    [tex] \sqrt{ab} \leq \frac{1}{2} \left( a + b \right) [/tex]

    16. use Cauchy's Inequality to prove for any numbers a and b and a natural number n

    [tex]ab \leq \frac{1}{2} \left( na^2 + \frac{1}{n}b^2 \right) [/tex]

    This is why you should buy your books at the bookstore for the beginning of classes(in case professors assign homework problems), even if you pre-order then online. You can always return them for a refund.
  4. Aug 26, 2008 #3


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    Wow, this is a first. I don't think I've seen anyone ask for a question rather than an answer. Good job rising to the occasion konthelion! And good advice.
  5. Aug 26, 2008 #4
    Thanks konthelion for the reply and advice.
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