| Ch 4. The Mean Value Theorem | Multimedia Engineering Math | ||||||
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Maximum & Minimum |
Rolle's Theorem |
Mean Value Theorem |
Monotonic Functions |
First Derivative Test |
Concavity & Inflection |
Second Derivative Test |
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| Maximum and Minimum | Case Intro | Theory | Case Solution |
| Chapter |
| 1. Limits |
| 2. Derivatives I |
| 3. Derivatives II |
| 4. Mean Value |
| 5. Curve Sketching |
| 6. Integrals |
| 7. Inverse Functions |
| 8. Integration Tech. |
| 9. Integrate App. |
| 10. Parametric Eqs. |
| 11. Polar Coord. |
| 12. Series |
| Appendix |
| Basic Math |
| Units |
| Search |
| eBooks |
| Dynamics |
| Fluids |
| Math |
| Mechanics |
| Statics |
| Thermodynamics |
| Author(s): |
| Hengzhong Wen |
| Chean Chin Ngo |
| Meirong Huang |
| Kurt Gramoll |
©Kurt Gramoll
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| Introduction |
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A group of college students in a chemistry lab are asked to find the maximum mass density of an unknown liquid between 0oC and 40oC. After they performed the experiment multiple times at different temperature, they determined the volume is a function of temperature. They summerized the formula to calculate the volume v of 1 kg at temperature t. It is v = 999.87 - 0.06426T + 0.0085T2 - 0.00006T3 |
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| Questions |
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At what temperature is the density a maximum? |
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| Approach |
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