# a4 - 4. Section 11.1, Pages 488 - 489 # 4, 5, 11, 12, 15,...

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University of Toronto at Scarborough MATA32 Assignment 4 Fall 2009 Work on the course material and problems below. You should be prepared to ask questions and receive instruction about this assignment in the 4th tutorial, which takes place during Thursday, October 8 - Wednesday, October 14. Remember: there is a quiz on assignment 3 in the 4th tutorial. Quiz 4 on this assignment 4 is written in your 5th tutorial, which is during the week of Thursday, October 15 - Wednesday, October 21. Study: Sections 5.5, 10.1 - 10.3 and 11.1 - 11.3 for this assignment. Read ahead in sections 11.4, 11.5 and 12.1 - 12.3 for upcoming lectures and future assignments. Problems: 1. Section 10.1, Pages 457 - 458 # 48 (You should try to sketch the graph without a graphing calculator). 2. Section 10.2, Pages 465 - 466 # 53, 54, 56, 62, 64. 3. Section 10.3, Pages 471 - 472 # 28, 32.
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Unformatted text preview: 4. Section 11.1, Pages 488 - 489 # 4, 5, 11, 12, 15, 17, 18, 22, 25, 28, 29, 34. 5. Section 11.2, Pages 496 - 497 # 2, 5, 6, 9 - 12, 21, 30 - 36, 40, 57, 58, 65, 66, 73, 74, 81, 82, 85, 86, 90. 6. Evaluate the following limits: (a) lim x → 1 x 3-1 √ x-1 (b) lim h → √ 1 + h-1 h (c) lim x →-( 1 x + 1 | x | ) (d) lim x →-∞ √ ax 2 + 1 bx + 5 a,b > 0 are constants. 7. Find the set on which the function g ( x ) = √ x + 1 + x + 1 x-1 + x + 2 x 2-2 is continuous. Express your answer using interval notation and suﬃciently justify your work. 8. Find the equation of every tangent line through the point (2 ,-3) that is tangent to the parabola y = x 2 + x . 9. Section 5.5, Page 221 # 1 - 6. Reminder: The Midterm Test is on Saturday, October 24, 9:00am - 11:00am. The room assign-ments for the test will soon be posted at the home page....
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## This note was uploaded on 06/11/2011 for the course MATHEMATIC a32 taught by Professor Grinnell during the Spring '11 term at University of Toronto- Toronto.

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