MAT131 Fall 2024 Notes

Fri 1O/11	Q4		implicit differentiation, related rates			Notes:	10.11A, 10.11B, 10.11C, 10.11D

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 your class.

 

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.   Click on the image to enlarge it.

 

Reminder to all: School is closed on Monday. There will be no Zoom or on campus classes and all College Offices are closed.

 

Quiz/Test Instructions

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