Two balls, each of radius R, equal mass
and density are placed in contact, then
the force of gravitation between them
is proportional to
(1) F ∝ (1/R^2 )
(2) F ∝ R
(3) F ∝ R^4
(4) F ∝ (1/R)
f(x)=x^2 cos((1/x)) when x∈[−(1/π),(1/π)]\{0}
and f(x)=0 when x=0.
a) find the derivative of f(x) on
the interval of [−(1/π),(1/π)].
b) compute minf(x) and maxf(x).
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 )) .