P is a polynomial havng n roots (x_i )_(1≤i≤n) with x_i ≠ x_j for i≠ j
find the values of Σ_(k1) ^(k=n) (1/(x−x_k )) and Σ_(k=1) ^n (1/((x−x_k )^2 )) .
If one side of a square reduces by
10% and the adjacent side increases
by 30%.Using the application of
differentiationfind the % change
in the area of the square.
With a center on a given circle of
radius r ,an arc has been drawn in order
to divide the circle in two equal
(in area) parts.
What is the radius of the arc in terms
of r (radius of given circle)?