06:18
the product of the sum of 3 positive numbers with the sum of their reciprocals always bigger than 9
05:19
Combining algebra and calculus to show the above result.
04:23
We will show that tan(x) is bigger than x for x in (0,pi/2).
07:09
combinatorial computing..first method of finding the sum
03:26
Solving a complex equation.Praxis math 5161
06:33
How to use the intermediate value theorem in proofs. An example of IVT is given.
05:07
Show that x/sqrt(x+1) is injective.
05:03
The integral of x×sqrt(1-x^4) between 0 and 1.
05:18
The square root preserves the order in the set of real numbers. Quick proof.
07:17
Is f(x)=x/sqrt(1+x) surjective? How can we prove it
05:50
Solving MIT INTEGRATION BEE question.
06:07
limit at 0 from right of the integral 1/sqrt(e^t-1) between ln(2) and x. x positive.
06:45
The equation of the tangent line to a circle at one of its point Analytic geometry ; no calculus .
05:41
Solving double absolute value equation.
07:56
sin^2(1°)+sin^2(2°)+...+sin^2(90°). The angles are in degrees. Oxford Math entrance exam question.
06:05
cos(1°)+cos(2°)+cos(3°)+....cos(359°)
04:47
Equation of the circle centered at (-1,1) and tangent to 12x+5y-9=0. Praxis math 5161
07:45
Solving Berkley math competition question. Sum k^2/2^k , k from 1 to infinity.
07:06
Solving Math Praxis 5161 question.You have 2 mn to solve it
08:03
order in R. How to bracket a product of positif and negative values. try it.
08:18
Newton's binomial to compute sums. A quick example.
04:02
MIT integration bee integral. Transformation of the integral into a simpler one.
06:11
the limit of the product of (1-1/k^2) k between 2 and n as n goes to infinity. Try it yourself.
07:44
The product of the cosines of x/2^k with k between 1 and n is sin(x)/(2^n × sin(x/2^n)).
03:03
Nested radicals integral. MIT integration bee.
04:27
Solving MIT composed integral. MIT integration bee qualifying exam.
11:02
2arctan(1/2)-arctan(1/7)=pi/4. The 500 meters hurdles of mathematics.
07:06
Solving MIT integration bee using many different techniques.Try it yourself
06:04
Solve sqrt(1-sqrt(x)) greater than 2..Try it
06:41
Finding the limits using 2 different ways and giving an interpretation to the result.
04:52
Solving an integration question from the MIT BEE
03:06
Solving a double rational function .
05:16
the convergence of a sequence and its subsequences. First introduction example.
06:12
Find the derivative of the inverse function at 0. (f^(-1))'(0)
08:51
The derivative of the cosine is minus the sine. A problem that is done one time in a lifelong.Try it
12:55
The principle of mathematical induction in number theory.
02:26
Finding the maximum area between a circle and a line . Application of algebra.Try it
09:09
Berkley Math competition limit computation. Try it yourself.
05:46
x^2-x+1 is always bigger than 0 for all the values of x real numbers.
08:17
Prove that the derivative of an even function is odd function.
06:28
Concrete example for the smallest distance between 2 circles..
06:40
sqrt(16-x^2)+sqrt(9-x^2)=5. Different approach
07:08
Given a function f , g(x)=f(| x |) . Find the domain of g and graph it along with f.Concrete example
10:06
arsin(x/sqrt(1+x^2)) in a simple form by using x=tan(theta), theta in (-pi/2,pi/2)
07:08
Finding the value of an integral by switching the intgral .
05:26
f(x)=1/sqrt((x-1)(2-x)). How to find the range in this case.
02:26
Ap calculus review limit. How do we solve this limit question.
03:51
limit of sin(x) ln(x) as x goes to 0 .
06:16
Finding the coordinates of the minimum of y=f(x-2).Oxford entrance exam MAT
06:49
Graph g(x)=1/f(x) from the given graph of f.
05:12
Simplify sin(arctan(x)).
03:47
((1-x)/(1-2x))^-x the limit as x goes to minus infinity. Good to try .
04:14
limit of x+sqrt(x^2+1l as x goes to minus infinity. try it yiurself.
07:04
x+sqrt(x^2+1) is always bigger than zero for all reals.
05:15
Integrate 1/x^2 between 0 and infinity. It is not 1. Try it yourself. Berkley math comeptition.
06:23
Solving Berkley math competition calculus question.
04:35
sqrt(9-sqrt(9-x^2))=f(x), find its domain
06:45
Olympiad question from Italy. Bella bella , bon appetit
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.
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Welcome to my new channel.
We will be exploring mathematical problems that arise in all different fields of mathematics. We will focus on simpler and familiar ones.
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