Hi Puys,
Doing some question of Maxima and Minima
Don't have answere for some question
I am writitng question and my answere
Please check
Ques.To find the dimension of the cubical box of maximum vol that has one croner at the origin, three sides that contains the corner lying in the 3 cordiante planes and the opposited corner lying on the plane 2x+3y+4z=12 in the first octant ?
My answere 64/81 cubic unit.
Q2.Find The Maximum Value of x^2y if x and y are restricred to positive real number satisfying 6x+5y=45
My Answer 225
Q3.For any +ve constant a, what is the maximum value of x/(x^2 +a) for +ve x ?
My Answer 1/(2 squroot a)
Q4.Find the Least value of xy+2xz+3yz for +ve number x,y,z saisfying xyz=48.
My ANswer 72
Q5.Find the minimum value of the product (x+y^2+z^3)( (1/x) +(1/y^2) + (1/z^3)) for +va value of x,y,z
My answer is 9
Q6.Find the smallest value of 5x+(16/x)+21 for +ve value of x
My Answer 8*squrt5+21
Please reply ur answer with explanation.
Thanks and Regards
Another Puy