If `a+b+c=3` and `agt0,bgt0,cgt0` then the greatest value of `a^(2)b^(3)c^(2)` is

If a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greratest value of a^(2)b^(2)c^(2) is

If 2a+b+3c=1 and a gt 0, b gt 0, c gt 0 , then the greatest value of a^(4)b^(2)c^(2)"_____" .

(i) If a + b + c = 5 , (a, b, c gt 0) , find the greatest value of a^(3) b^(2) c^(4) . (ii) Find the greatest value of (5 - x)^(2) (x -2)^(2) , given 2 lt x lt 5 .

If a,bgt0 then the maximum value of (a^(3)b)/((a+b)^(4)), is

If a+b+c=0, then write the value of a^3+b^3+c^3

If ab=2a+3b, agt0, b gt0 , then the minimum value of ab is

If agt0, bgt0, cgt0 and the minimum value of a^2(b+c)+b^2(c+a)+c^2(a+b) is kabc, then k is (A) 1 (B) 3 (C) 6 (D) 4

If a, bgt0,a+b=1 , then the least value of (1+(1)/(a))(1+(1)/(b)) , is

When a=3,b=0, c=-2 find the value of : a^(3)+b^(3)+c^(3)-3abc

If a gt 0,bgt 0,cgt0 and 2a +b+3c=1 , then