Partialy attempted questions 3(a) and 4(a)

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The discussion revolves around two individuals seeking help with questions 3 and 4 from an assignment, indicating they are close to completing question 4 but struggling with question 3. They plan to share additional pages in a follow-up thread due to file size limitations. A suggestion is made to write out the questions in text format and use a provided template to facilitate responses. The participants express a collaborative effort in tackling the assignment. Overall, they are looking for guidance on their progress and any potential mistakes made.
terryfields
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hi guys attaches are 5 pages of work and the question page, me and my friend have been attempting Q3 and Q4 think were almost there with Q4 and not very far with Q3, any ideas where to go from here and if we've gone wrong anywhere? thanks ill attatch the other 3 pages in a thread labled part 2 as i am exceeding the file size
 

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Perhaps you should write the questions out in text and use the template provided so that you will get some responses. Good luck!
 
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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