If the radius of the circle is x, the side of the triangle is y, and the side of the square is z, then we have
2πx+3y+4z = 1
a = πx^2 + √3/4 y^2 + z^2
da/dx = 2πx
da/dy = √3/2 y = √3/2 (1-2πx-4z)
da/dz = 2z
a will have a maximum where all the partial derivatives are zero.
A wire along 1 meter is divided into three parts . The first part is formed into a circle , the second part is formed into an equilateral triangle , and the third part is formed into a square . Determine the size of each section so that the total area of the three wake formed the maximum possible
1 answer
1 answer