The triangle in the diagram represents a mold that Anna uses to shape dough before baking. Anna also has a circular mold whose r
im just fits inside the rim of the triangular mold. What is the radius of the circular mold?
2 answers:
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By first principles, the derivative is
Use the binomial theorem to expand the numerator:
where
The first term is eliminated, and the limit is
A power of in every term of the numerator cancels with
in the denominator:
Finally, each term containing approaches 0 as
, and the derivative is