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Skill check: Optimization

Consider the function  f(x)=9x2 ~f(x)=9-x^2~ for  f(x)0 ~f(x)\ge0~ only.
The shaded region is an isosceles triangle formed by joining the points  (0,0)~(0,0)\,,  (x,f(x))~\big(x,f(x)\big)\,, and  (x,f(x))~\big(-x,f(x)\big), where 0x3~0\le x\le3.
What is the area of the largest triangle that satisfies the stated conditions?
Choose 1 answer:
Choose 1 answer: