Introduction to Calculus by Joan Van Glabek
Author:Joan Van Glabek
Language: eng
Format: epub
Publisher: HarperCollins
Published: 2006-11-06T16:00:00+00:00
SOLUTION 4.6
A sketch will prove useful here.
If we label the lengths as shown,
132 = a2 + b2
Use the Pythagorean theorem with c = 13.
The base slides away at a rate of 0.5 ft/sec.
Identify what you’re looking for.
Find the derivative with respect to time. The derivative of a constant is 0.
Substitute the given rate.
At this point, there are still too many variables to solve for . We can find a when b = 12 feet and c = 13 feet: c2 = a2 + b2.
132 = a2+122
Use the Pythagorean theorem.
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