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Review Sheet Exam 1

Review Sheet Exam 1 - Math 13 Exam 1 Review Spring 2007...

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Math 13 Exam 1 Review Spring 2007 Since you will not be permitted to use calculators during the exam, you should avoid the use of calculators in working these problems. Practice showing all steps of your work; write neatly and in complete sentences. Model solutions to these problems will be posted on the Math 13 blackboard website. Solving the problems on this review sheet should be useful to your exam preparation, but the exam may contain problems about the material covered in class which are not identical to those found here. 1. Describe in words and sketch the surfaces and regions in space represented by the following equations or inequalities. a) x = z b) x 2 > y 2 + z 2 c) x 2 + y 2 + z 2 = 4 y d) y 2 + z 2 4 e) xy = 0 f) xyz = 0 g) z = 2 h) 1 < x 2 + y 2 + z 2 < 4 i) xy = 1 2. a) Let vectora = ( 1 , 3 , 2 ) and vector b = ( 0 , 2 , 3 ) . Compute the scalar projection comp vectora vector b and the vector projection proj vectora vector b of vector b onto vectora .

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