Solving this rate of decay problem -- Mass loss calculation

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The discussion centers on a specific question regarding mass loss calculations and a perceived error in the mark scheme. One participant believes the mark scheme's precision is incorrect and suggests a different value. Another participant argues that the mark scheme is accurate and proposes using 1.68 to three significant figures as a suitable answer. The conversation highlights the importance of precision in scientific calculations and the interpretation of mark schemes. Ultimately, the participants agree on the need for clarity in presenting numerical answers.
chwala
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Homework Statement
Kindly see attached.
Relevant Equations
exponential function and its derivatives
My interest is on question ##11.ii## only. I think there is a mistake on the markscheme...i just need a second opinion on this...find attached the question and markscheme...
1626379781217.png


markscheme here:
1626379870057.png


it ought to be,
##e^{0.0277t}=1.6797##
 
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Given the precision in the previous step, quoting anything more precise 1.7 is probably pushing it.
 
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Orodruin said:
Given the precision in the previous step, quoting anything more precise 1.7 is probably pushing it.
I think mark scheme is just fine...you are also correct...i would probably say ##1.68## to 3 significant figures...
 
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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