let give the polynomial p(x)=(x+1)^n −(x−1)^n with n
from N^∗
1) give the factorisation of p(x) inside C[x]
2) prove that Π_(k=0) ^(n−1) cotan(((kπ)/(2p+1)))=(1/(√(2p+1)))
A boat of mass m, traveling with v of Vo at
t=0. A power is shut off assuming water
resistance is proportioal to Vn^ and V is
instantaneous velocity find V as a function
of the distance travelled
4kg ball falls from rest at time t =0 in a
medium offering a resistance in kg
numerically equal to twice its instantaneous
velocity in m/s.
find;
(a) the velocity and distance travelled at any
time t>0
(b) the limiting velocity