please help me.... - Prove the following Theorem:
A parallelogram has a circumscribed circle if and only if it is a rectangle ( hint for the "only if" part: Opposite angles must subtend semicircles)
Using induction to prove an equality - I want to use induction to prove this equality:
1 + z + z^2+...+z^n = (1 - z^(n+1))/(1 - z) for every n >= 1
How do I go about this? I started out by letting z = (a + bi), but got confused.
Prove: Set Theory, closed sets and compact sets - I would like to know how to construct a proof of union/and of 2 closed sets and how to prove compact sets.
(See attached file for full problem description)
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a. Let E and F be closed sets in ...
Proof involving integral - (See attached file for full problem description with proper symbols)
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Assume that f is continuous on [a,b], g is differentiable on [c,d], g([c,d]) [a,b] and
F(x) =
For ea ...