The minimum value of the sum of real number `a^(-5),a^(-4),3a^(-3),1,a^8,a n da^(10)w i t ha >0` is

The minimum value of the sum of real number a^(-5),a^(-4),3a^(-3),1,a^(8) and a^(10) with a>0 is

The minimum value of the sum of real numbers a^(-5),a^(-4),3a^(-3),1,a^(8)" and "a^(10)" with "agt0 is

The sum of two non-zero numbers is 8 ,the minimum value of the sum of their reciprocals is (1)/(4) (b) (1)/(2) (c) (1)/(8) (d) none of these

If 2x^(3)+ax^(2)+bx+4=0 has three real roots.The minimum value of a^(3) is The minimum value of b^(3) is.The inimum value of (a+b)^(3) is

The value of the integral int_(0)^(1){4t^(3)(1+t)^(8)+8t^(4)(1+t)^(7)}dt is