33BMT2

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University of California, Los Angeles *

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33B

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Mathematics

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Apr 3, 2024

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pdf

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Uploaded by ColonelFlagGrasshopper33

Graded Midterm 2 Student Total Points 40 / 40 pts Question 1 1a 5 / 5 pts  + 5 pts Correct + 2.5 pts Characteristic Equation + 2.5 pts Correct interval for distinct real roots + 1.5 pts Correct interval except it contains p=6. Question 2 1b 5 / 5 pts  − 0 pts Correct − 1 pt Incorrect root − 3 pts Only p value correct − 2 pts No solution − 0.5 pts No p value − 0.5 pts Missing constant − 1 pt Significant `typo' in solution Question 3 2a 5 / 5 pts  − 0 pts Correct − 5 pts Incorrect Question 4 2b 5 / 5 pts  − 0 pts Correct − 2 pts Incorrect computation − 3 pts Incorrect property of a fundamental set of solutions  te −3 t

Question 5 3a 5 / 5 pts  + 5 pts Correct + 3 pts correct approach (characteristic polynomial) calculational error, wrong result + 1 pt attempt + 0 pts no submission Question 6 3b 5 / 5 pts  + 5 pts Correct + 4 pts some confusion + 2 pts attempt + 0 pts no submission Question 7 4 10 / 10 pts  + 10 pts Correct + 8 pts Mostly correct, some calculation errors + 5 pts Correct guess + 2 pts Use of the method of undetermined coeﬃcients but incorrect guess for + 0 pts Missing/incorrect  Nice work! y = p at + 2 bt + c y p

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33BMT2

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