Sample – Area between curves using Sage lab

1. Plot y=?? x/ sqrt(x^2+1) and y=(x-2)^2 on the same axes,then compute the area between them.

2. Find the area above y =|x| and below y=cos(x).

3. Find the number c between 0 and p/2 where the curves y = sin x and y = tan^2 x intersect.

Find the area between the curves over the interval [0,c].

Review coursework materials for guidelines on how to complete assignment and submit the paper before deadline to avoid penalization.

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