Primitive Roots - (See attached file for full problem description)
Primitive Roots - (See attached file for full problem description with all symbols)
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Suppose that n is odd and a is a primitive root modulo n.
(a) Show that there exists and integer b such that and .
(b) Sh ...
Primitive numbers - Assume that n is odd and a is a primitive root mod n. Let b be an integer with b ≡ a(mod n) and gcd (b, 2n) =1. Show that b is a primitive root mod 2n.
Complex analysis - (See attached file for full problem description with symbols and equations)
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Let for . Prove in the following two ways that f has no primitive:
a) Assume that f has a primitive F (i.e. thes ...
Calculus Questions - (a) The function 1/t is continuous on the given interval, therefore integrable. The primitive is log(t). The primitive of exp(t) is exp(t). Therefore the integrals are:
(b) The primitive of –cos(x) ...