the pythagoras tree is a fractal generated by squares. for each square, two new smaller squares are constructed and connected by their corners to the original square. how do i create an exponential function to find out how many squares will be in the next sequence? since every iteration, the previous amount of squares added is doubled, how can i phrase this in function form? for example: iteration 1: 0 + 1 = 1 square, iteration 2: 1 + 1(2) = 3 squares, iteration 3: 3 + 2(2) = 7 squares

Find the local maximum and minimum values and saddle points of the function. If you have three-dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function
$f(x,y)=x^3-6xy+8y^3$

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