01/16/18
True or False
The equation f(x) = 4x4 + 4x2 + 9x – 2 can have at most four distinct real roots.
01/08/18
Define two functions c(x) = max{x - a,0}, p(x) = max{a-x,0}. Prove that c(x) - p(x) = x - a
Define two functions c(x) = max{x - a,0}, p(x) = max{a-x,0}. Prove that c(x) - p(x) = x - a
12/10/17
Can you help me find a counterexample to the following;
For a subset x⊆R: 'X is dense in R implies that x∩Q≠Ø
11/20/17
I need help with writing a proof about cardinality. Please look at description for more detail.
Let N^N(Nautral Numbers)={f:f|N->N}.
a. Give two elements of N^N
b. Prove that Aleph Zero <|N^N|
11/15/17
Is f one-to-one? Is f onto? Prove or give a counterexample.
Define f(x) : P({a,b,c}) →N as follows:
for all A ∈P({a,b,c}), f(A) = the number of elements in A.
( P is a power set.)
Is f one-to-one? Prove or give a counterexample.
Is f onto? Prove or give...
more
10/08/17
if limit of f(x) as x approaches a exists, does the limit of |f(x)|exist as as x approaches a? vice versa?
a) If lim f(x) exists, them lim |f(x)| exists
x>a x>a
b) if lim |f(x)| exists, then lim f(x) exists
x>a ...
more
05/03/17
Find an example of a set A and functions f :A→A and g:A→A such that f◦g=idA but g ◦ f ̸= idA
Find an example of a set A and functions f :A→A and g:A→A such that f◦g=idA but g ◦ f does not equal idA. I am not sure what idA means or an example for this
04/07/16
how many elements are in the set ...
how many elements are in the set {(x,y)∈ AxA|x+y is even} if A={1,2,3,4,5}. Please explain all steps. Thank You!!
03/30/16
Show that if ax + by = p, then gcd(a,b) = 1 or gcd(a,b) = p
Suppose that a,b,x,y are integers and that p is a prime.
Show that if ax + by = p, then gcd(a,b) = 1 or gcd(a,b) = p
12/16/15
The domain of the function f(x)=3x-6/x is {-3, -1, 2, 4, 5}. What is the function's range?
this is a test and i need help
11/17/15
complex analysis
if limn→∞ zn = A ,prove that
limn→∞ (z1+z2+...........zn) = A
please help me sir please
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