To summarize, here are the steps in doing a related rates problem:
- Decide what the two variables are.
- Find an equation relating them.
- Take d/dt of both sides.
- Plug in all known values at the instant in question.
- Solve for the unknown rate.
14 мар. 2014 г. · 1. Draw a picture of the physical situation. See the figure. When a quantity is decreasing, we have to make the rate negative. |
22 февр. 2021 г. · How To Solve Related Rates Problems · Read the problem carefully and write down all the given information. · Sketch and label a graph or diagram ... |
16 нояб. 2022 г. · Air is being pumped into a spherical balloon at a rate of 5 cm 3 /min. Determine the rate at which the radius of the balloon is increasing when the diameter of ... |
14 апр. 2024 г. · Step 1 Determine the function that relates the variables. · Step 2 Differentiate with respect to time. · Step 3 Substitute the known data. |
3 нояб. 2024 г. · If two related quantities are changing over time, the rates at which the quantities change are related. For example, if a balloon is being ... |
This 4-step related rates problem solving strategy will work to solve every related rates problem you encounter. Access it for free here. |
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Solving Related Rates Problems · 1.) Read the problem slowly and carefully. · 2.) Draw an appropriate sketch. · 3.) Introduce and define appropriate variables. · 4. |
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