What is the Correct Approach for Calculating Connected Rates of Change?

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SUMMARY

The discussion centers on the calculation of connected rates of change, specifically addressing a homework problem related to the rate of change of depth. A participant expresses confusion regarding their solution for part ii) and seeks clarification. Another participant identifies an arithmetic error in the calculation, specifically pointing out the multiplication of 4 and 14. This highlights the importance of careful arithmetic in solving problems related to rates of change.

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  • Experience with solving homework problems in calculus.
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  • Review the principles of connected rates of change in calculus.
  • Practice arithmetic operations within the context of calculus problems.
  • Explore common pitfalls in solving rates of change problems.
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Students studying calculus, educators teaching rates of change, and anyone seeking to improve their problem-solving skills in mathematical contexts.

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Homework Statement



CRoC.jpg

Homework Equations

The Attempt at a Solution


CRoC Solution.jpg
My problem is with part ii)
To me, my logic seems sound for the rate of change of depth but apparently it's wrong.
Does anyone see what I'm missing?
Thanks
 
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AntSC said:

Homework Statement



View attachment 93778

Homework Equations

The Attempt at a Solution


View attachment 93779My problem is with part ii)
To me, my logic seems sound for the rate of change of depth but apparently it's wrong.
Does anyone see what I'm missing?
Thanks

In part ii) check your arithmetic. What is 4 ⋅ 14?
 
Oops! Thanks. Working too fast.
 

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