The curve shown below is called an astroid. Lets find the perimeter of the asteroid with equation x + y = = 36. (a) Consider first the part of this curve in red in the following diagram. On this region, 216 < x < 216. √8 and y = The length of this red section is given by the integral cb L₁ = [ where a = , b = a h(x) dx and h(x) = L₁ == (b) To get the perimeter of the full astroid, we use symmetry. Perimeter = units.

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Q: Determine the equation of the tangent to the graph of y = [2~/x - x][1+ /x - x ] at the point (1,…

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