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Department
Mathematics
Course
MATA30H3
Professor
Sophie Chrysostomou
Semester
Winter

Description
University of Toronto at Scarborough Department of Computer & Mathematical Sciences MAT A30Y 2013-2014 Assignment #3 You are expected to work on this assignment prior to your tutorial in the week of Septem- ber 30th. You may ask questions about this assignment in that tutorial. In your tutorial in the week of October 7th you will be asked to write a quiz based on this assignment and/or related material from the lectures and textbook readings. TEXTBOOK: Single Variable Calculus, Early Transcendentals, 7e, J.Stewart READ: Stewart: Sections: Appendix D, 1.3. PRINCIPLES OF PROBLEM SOLVING p. 76-81. Notes: 1 Functions: pages -20. Calculus Review Manual (CRM): pages 22-23, 24, 26-30, 31-33. PROBLEMS: A. Homework problems from the lectures: 1. Prove the identity: tanx + cotx = secxcscx. 2. For a given function f and for c > 0: (a) Explain the graph of y = f(x) − c in relation to the graph of y = f(x); (b) Explain the graph of y = f(x + c) in relation to the graph of y = f(x). 3. For a given function f and for c > 1: (a) Explain the graph of y = (1/c)f(x) in relation to the graph of y = f(x); (b) Explain the graph of y = f(x/c)
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