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 minimum value of 3cox + 4 sinx + 8 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 a>0, then minimum value of a+2a^(2)+a^(3)+15+a^(-1)+a^(-3)+a^(-4) is

Find the maximum value and the minimum value and the minimum value of 3x^(4)-8x^(3)+12x^(2)-48x+25 on the interval [0,3].

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