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2006Spring20MTI-sol

2006Spring20MTI-sol - Name ID Solutions to Midterm I Math...

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Name: ID#: Solutions to Midterm I Math 20 Introduction to Multivariable Calculus and Linear Algebra March 10, 2006 Rules: This is a one-hour exam. Calculators are not allowed. Unless otherwise stated, show all of your work. Full credit may not be given for an answer alone. You may use the backs of the pages or the extra pages for scratch work. Do not unstaple or remove pages as they can be lost in the grading process. Please do not put your name on any page besides the first page. If you like, you may put your ID number on the top of each page you write on. Hints: Read the entire exam to scan for obvious typos or questions you might have. Budget your time so that you don’t run out. Problems may stretch across several pages. Relax and do well! Students who, for whatever reason, submit work not their own will ordinarily be required to withdraw from the College. —Handbook for Students
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Summary Data Problem 1 2 3 4 5 Total Percent Maximum Possible 9 15 15 11 10 60 100% Maximum Achieved 9 15 15 11 10 60 100% Mean 8.11 14.33 14.06 9.56 7.53 53.58 89.31% Median 9 15 15 10 8 55 92% Mode 9 15 15 10 9 58 97% % full credit 70% 80% 60% 23% 3% 3% 3% % no credit 0% 0% 0% 0% 0% 0% 0% Standard Deviation 1.7123 2.0000 1.4897 1.9213 2.2046 6.8369 11.39% Correlation with Total 0.7561 0.8390 0.7032 0.6097 0.7462 1.0000 100%
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1 1 1. (9 Points) Let v = 0 1 3 w = 2 - 1 0 Find (i) 2 v - w Solution. We have 2 v - w = 2 · 0 - 2 2 · 1 - 1 2 · 3 - 0 = - 2 3 6 (ii) v · w Solution. We have v · w = 0 ·
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