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general steps to solve maxima / minima problems.
1. determine variable to be optimized.
2. express variable to be optimized in terms of variable that can change.
3. differentiate & find stationary value.
4. check for maximum / minimum.
note that …
carry maximum amount of water
=> maximum volume
=> maximum cross-section area.
even if the question does not say need to check for nature of stationary point, should still automatically check.
1. determine variable to be optimized.
2. express variable to be optimized in terms of variable that can change.
3. differentiate & find stationary value.
4. check for maximum / minimum.
note that …
carry maximum amount of water
=> maximum volume
=> maximum cross-section area.
even if the question does not say need to check for nature of stationary point, should still automatically check.
Date Posted:
2 years ago