MATH 32A 2018 Final Solutions
Harvard University
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Exam (elaborations)
Exam (elaborations) MATH 32A 2018 Final Solutions
Exam (elaborations) MATH 32A 2018 Final Solutions 
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To get credit for a problem, you must show all of your reasoning and calculations. No 
calculators may be used. Box your final answer. 
Please write only on the front. You may use left-over space on a page as extra space: clearly 
label your work with the problem number. 
If you cannot find a vector that you need for a later part of a problem, you may use the 
vector h1, 2, 3i. 
Circle your section: 
Section: Tuesday: Thu...
Exam (elaborations)
MATH 32A 2018 Final Solutions
PopularExam (elaborations) MATH 32A 2018 Final Solutions 
MATH 32a Final Exam December 12, 2018 
Name: ID: 
Signature: 
To get credit for a problem, you must show all of your reasoning and calculations. No 
calculators may be used. Box your final answer. 
Please write only on the front. You may use left-over space on a page as extra space: clearly 
label your work with the problem number. 
If you cannot find a vector that you need for a later part of a problem, you may use the 
vector h1, 2, 3i. 
Circ...