- Create and solve, SHOWING HAND-WRITTEN SOLUTION WORK, one related rate problem and solution with the following constraints.
- 1. Let it be about a right triangle situation. [Other situations are listed on page 969 of the text.]
- 2. The hypotenuse is to remain constant.
- 3. The solution must be the rate of change of one of the legs or answer a question requiring the rate of change of a leg computation to answer the question.
- 4. A labeled diagram is required in your solution.
- 5. Use your own paper. Scan it or take a picture with your phone. Rename the file with ###.First.Last.Q4. Attach it to an email to
calc@mathnstuff.com .
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- You might:
- a. See page 179, chapter 4, section 2, problem # 9, in the text because it provides a sample of what you might write, but be creative. Let a leg shrink.
Ask if the prince can raise the ladder fast enough to reach Princess Rapunzel before her "captor" shows up.
- b. The image at the right of this page is from
Heronian Pythagorean Triangles and it provides some right triangles with natural number sides should you wish to use those dimensions.
- You might with to compute "nice sides" using the spreadsheet or sketchpad:
Pythagorean Triangles & Heronian Triangles
elevation.gsp -- related rates of right triangles using either figure or parameter theta to adjust angle and rates
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Quiz/Test Instructions
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