Notice that the curve given by the parametric equations

x = 81 - t^2

y = t^3 - 25t

is symetric about the x-axis. (If t gives us the point (x,y), then -t will give (x,-y) ).

At which x value is the tangent to this curve horizontal?

The curve makes a loop around the x-axis. What is the total area of this loop?

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Please help!