Find the rate at which the concentration is changing after 2 hours

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SUMMARY

The discussion focuses on finding the rate of change of concentration after 2 hours using the chain rule in calculus. The correct approach involves defining the variable, such as letting u = -0.06t, and incorporating it into the chain rule expression. Clarity in notation is emphasized to avoid confusion in calculations. The participants agree on the importance of precise mathematical representation for accurate results.

PREREQUISITES
  • Understanding of calculus concepts, specifically the chain rule.
  • Familiarity with variable substitution in mathematical expressions.
  • Basic knowledge of concentration and its relation to time in chemical reactions.
  • Ability to interpret and manipulate mathematical notation accurately.
NEXT STEPS
  • Study the application of the chain rule in different calculus problems.
  • Explore variable substitution techniques in calculus.
  • Learn about the relationship between concentration and reaction rates in chemistry.
  • Practice solving problems involving rates of change in various contexts.
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Students and professionals in mathematics, chemistry, and engineering who are looking to enhance their understanding of rates of change and calculus applications.

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Is my work right?
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Your answer is correct, but your notation is slightly odd. Either let ##u = -0.06t## etc. and put that in your chain rule expression, or just skip that line entirely.
 

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