as i am new to calculus & probability,pls show how to do these problems(may be very trivial)
problem 1:show that the height of a right circular cylinder of the greatest volume that can be inscribed in a right circular cone is one-third of that of the cone.
(using derivatives and limits....)
problem 2:using integration,find the area enclosed by the curves and
problem 3: out of 21 tickets marked with numbers from 1 to 21, three are drawn at random.Find the probability that the numbers on them are in A.P.
please help!!!thanks in advance