the area bound by, and dealing with graphs

[mr.burger]

y^(2)=4x^(2) - x^(4)

a.)Solve for y and write an expression for the part of the graph that is in the first quadrant and second quadrant.
b.)Tell how you could limit the domain (x-values) so that the graph is in the first quadrant.
c.)Find the area of the graph’s interior (the area bounded by the graph) in quadrant I.
d.)Use your answer in part c.) to find the area bounded by the graph.

 

[Guest]

a.) First solve for y like normal. y is positive in and only in the first and second quadrants, so now get rid of negative solutions for y.

b.) What values of x are in the first quadrant?

c.) Integrate y with respect to x from 0 to the next x-intercept.

d.) Whereabout is this graph symmetric?