Use implicit differentiation to compute the surface area of revolution about the x-axis of the part of the astroid 
in the first quadrant. 
Definitions:
Tert-butanol
A tertiary alcohol with the chemical formula \(C_4H_{10}O\), used as a solvent and in the manufacture of other chemicals, known for its high reactivity.
Sulfuric Acid
A highly corrosive strong mineral acid with molecular formula H2SO4, widely used in industry and as a laboratory reagent.
Elimination Product
A molecule resulting from the removal of atoms or groups from a reactant, typically involving the loss of a small molecule like water or hydrogen halide.
Major Organic Product
The primary product of a chemical reaction involving organic compounds which is formed in the greatest yield.
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