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I have posted a link there to this topic so the OP can see my work.Need help on calc 2 question?

I need a good explanation on how to solve this question

a) find at least two continuous functions F that satisfy each condition

i) F(x) ≥ 0 on [0,1]

ii) F(0)=0 and F(1)=0

iii) the area bounded by the graph of F and the x-axis for 0≤x≤1 equals 1

B) for each function in part (a) approximate the arc length of the graph of the function on the interval[0,1]

C) Can you find a function F that satisfies each condition on part (a) and whose graph has an arc-length of less than 3 on the interval [0,1]