Vec. calc what methods should I use

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The discussion focuses on evaluating vector calculus problems presented in the linked images. Participants suggest using Gauss' theorem and Green's theorem as potential methods for solving the problems. There is an inquiry about what methods have been attempted and where participants encountered difficulties. The conversation emphasizes the importance of identifying the right theorems to apply for successful evaluation. Overall, the thread seeks to clarify effective strategies for tackling the vector calculus homework.
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What methods have you tried? Did you try to use Gauss' theorem and Green's theorem? If you did, where did you get stuck?
 
Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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