(Steps Shown) A right-angle triangle in quadrant has two sides on the x - and y - axes. Its hypotenuse is tangent to the graph of f(x)=frac28x^4 at the point
Question: A right-angle triangle in quadrant has two sides on the \(x\) - and \(y\) - axes. Its hypotenuse is tangent to the graph of \(f(x)=\frac{28}{x^{4}}\) at the point \(P\), as shown.
- Showing all steps, analytically determine the exact area \(A\) of the triangle given the \(x\) coordinate of \(P\) is \(x=4\).
- Enter your answer rounded to 2 decimal places below.
Deliverable: Word Document 
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