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.
konthelion
Aug26-08, 11:00 PM
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:
ab \leq \frac{1}{2} \left( a^2+b^2)
15. Use Cauchy's Inequality to prove that if a \geq 0 and b \geq 0 , then
\sqrt{ab} \leq \frac{1}{2} \left( a + b \right)
16. use Cauchy's Inequality to prove for any numbers a and b and a natural number n
ab \leq \frac{1}{2} \left( na^2 + \frac{1}{n}b^2 \right)
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.
Dick
Aug27-08, 12:05 AM
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.