Bamboo Forest

Calculus Level 5

You are surveying a rectangular area of a bamboo forest of 2×32 \times 3 square feet. The four bamboos at the corners are each 12,27,56,5912, 27, 56, 59 feet high, and when you analyze the surface area at the top, you find that it is a partial plain of f(x,y)=y2+x32xy+7,f(x,y) = y^2 + x^3 - 2xy +7, as shown below.

Assuming the area is densely packed with bamboos, what is the average height of these bamboos in feet?

×

Problem Loading...

Note Loading...

Set Loading...