A store clerk is stocking the shelves. He places on the shelf a box of cereal that weighs 850 grams, a box of granola bars that
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Let . Then differentiating, we get
We approximate at
with the tangent line,
The -intercept for this approximation will be our next approximation for the root,
Repeat this process. Approximate at
.
Then
Once more. Approximate at
.
Then
Compare this to the actual root of , which is approximately <u>1.76929</u>2354, matching up to the first 5 digits after the decimal place.