The function ...
... g = |x| + 1
will map any integer x into the set of positive integers g.
Most of the square numbers are even.so if we need to find root over we need an even number to convert it to perfect square.
See the example below






Some other triplets are
- (6,8,10)
- (5,12,13)
- (8,15,17)
Factors are: 0, 1, 2, 4, 8, 16
Let the curve C be the intersection of the cylinder
and the plane
The projection of C on to the x-y plane is the ellipse
To see clearly that this is an ellipse, le us divide through by 16, to get
or
,
We can write the following parametric equations,
for
Since C lies on the plane,
it must satisfy its equation.
Let us make z the subject first,
This implies that,
We can now write the vector equation of C, to obtain,
The length of the curve of the intersection of the cylinder and the plane is now given by,
But
Therefore the length of the curve of the intersection intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.
A cylinder is made up of 1 rectangle which is folded into a circular shape. It also has 2 circles, one at the top, and one at the bottom.