HW15 - Calculus 1A Homework Assignments Notes and Hints...

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Unformatted text preview: Calculus 1A: Homework Assignments. Notes and Hints. Revised 1/19/09 Spring 2009, TT 3:30pm - 5:00pm, Room 105 Stanley Hall Instructor: Professor Zvezdelina Stankova HW15. Read § 6.2, § 6.5. Solve and Write Problems: (1) § 6.2: #2,4,10,12,14,16,18,32,34,36,42,44,50,52,51,54,56*,58*,68. Make sure that you draw a picture in each and every problem in this HW! (a) In setting up the integrals to calculate volumes, you can follow the steps below: (i) Decide with respect to which variable you will be integrating: this depends solely on what kind of axis you are rotating about. If it is a horizontal axis (e.g., x-axis or y = c ) then you will be integrating wrt variable x . If it is a vertical axis (e.g., y-axis or x = c ) then you will be integrating wrt variable y . (ii) Find the beginning and the end of your solid measured on the axis you chose above. These will be your bounds of integration....
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