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Archimedes Notes @UCAiMOiMKQgZfWGXYq-7Jh3A@youtube.com

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Welcome to my new channel. We will be exploring mathematica


08:29
limit at infinity of x-sqrt(x^2-x)
06:07
Find the minimum value of the sum of (x-k)^2 , k between 1 and 5 .k integer.Good to try.
04:16
Finding a first appriximation of Pi.
06:19
limit as n goes to infinity of the sum between 1 and n of k/(sqrt(k^2+n^2).
09:27
Solving Stanford math competition question. Not so easy limit. Try it yourself.
05:35
Finding a second order recursive sequence given its initial conditions.
10:09
The sum of the squares of cos(k×pi/n)
04:45
The norm of the product of 3 complex numbers
05:50
find f(R) by the function arcos((1-x^2)/(1+x^2))
06:23
Write Z=(1+ i tan(alpha))/(1-itan(alpha)) in exponential form.
04:57
limit as n goes to infinity of u(n+1)=u(n)/2 +3 with u(0)=a. Recursive defined sequence limit
05:38
limit of arcos((1-x^2)/(1+x^2)) as x gets to + infinity
03:03
The norm of a complex number. Quick example with exponential form definition
11:49
De Moivre formula for complex numbers. Introduction and example.
11:34
The integral of sin^n(x) between 0 and 2pi.A helpful recursive formula to compute this integral.
09:22
Finding a recursive fornula and proving it by induction.Ap calculus review.
05:10
The algebraic form of a complex number . Working one example in details.
08:52
integral of (sin(x)+cos(x))^6 between 0 and 2pi.
08:39
Berkley math competition calculus question
07:05
Counting the number of handshakes done by a group of N pepple.
05:02
The product of all the roots of the unity
05:28
The mean value theorem and a quick example.Statement of thr mean value theorem
05:55
Solving nested equation of radicals.
07:31
limit as x goes to infinity of 1+sin(x)-x . Ap Calculus review question.
06:45
Praxis Math 5161 question . Find the domain of arcsin(1/(2-x))
05:03
Find f defined everywhere that satisfies the functional equation.: f(xy)=xf(x)+yf(y)
05:59
condition on z to have z+i×zbar is pure imaginary . complex numbers equations
05:58
z+zbar=norm of z in C the set of complex numbers. Find the image of the solution as well.
07:03
a and b positive we have (a+b)(1/a+1/b) greater or equal than 4. Algebra and precalculus . Ap cal
08:10
Solving a radical equation
06:16
|a|=|b| if and only if a=b or a=-b
05:23
The sum of any positive number and its inverse is always bigger or equal than 2. Elementary proof
09:22
(1+x)^n greater than or equal.to 1+nx , x positive real number. n positive integer
04:29
Solve z^2-iz-i×sqrt(3)=0 in the set of complex numbers.
06:35
The principle of mathematical induction applied to a matrix .
07:12
The exponential form of 1/(1+itan(alpha))
05:16
(1+i)^n+(1-i)^n is a real number
05:02
Find the exponential form of i+sqrt(3)
06:56
u=-5+12i, find z such z^2=u. Find the square roots of a complex number.Algebraic form.Stanford test
02:09
f,g,and h are functions. Do we have f○(g+h)=f○g+f○h?
04:32
Three strictly positif real numbers add to 1.Show that the sum of their reciprocals is bigger than 3
04:41
((z-i)/(z+i))^3+((z-i)/(z+i))^2+((z-i)/(z+i))+1=0.Solve for z the complex equation
04:16
limit as x goes to 1 of 1/(x-1)* Int(1/sqrt(1+t^2)dt between 1 and x.
03:45
limit as n goes to 1 of the sum(k,1,25)(n^k-1)/ln(n)).Stanford math competition question
05:02
Find the complex numbers z solution of |z|=|z-1|
06:02
tan(arsin(x))=x/sqrt(1-x^2)). Algebra to show this resut. Ap calculus review.Calculus question.
05:17
If 2n+1 is a perfect square,then n+1 is the sum.of two perfect squares.
03:02
Solve the complex equation iz=z
07:21
Solving Berkley competition question.More later
04:00
Simplify cos(2arcos(x)) and graph it.
03:26
Solving Berkley Math question limit.See the description
04:48
Find the exact value of arctan(tan(-19×pi/20) .Show every step by giving logical reasoning
05:38
Show that |sin(x)-cos(x)| is less than or equal to sqrt (2).
02:33
What do you think of this proof? please comment
04:20
x^2+y^2=1 , does it represent a function?.
07:08
1+3+5+....+2n-1=n^2 using the principle of mathematical induction.
05:31
computing an integral by using a change of variable to make it easier.
04:10
Trying to compute a limit from Stanford math competition.Try it yourself.
06:01
The limit of the difference of 2 radicals.Calculus and Ap calculus review. try it.
06:00
limit of artan(x)/x as x goes to 0. Different ways to find this limit.