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# A3-1087 - (a Suppose that f and g are two functions both...

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Assignment 3 Due September 26, 2:30 Instructions: You must attach the Assignment Coverpage that is posted in the Math 151 Webct container in the PAPER ASSIGNMENTS folder. You submit assignments in a box marked with the course number, MATH 151, outside the Calculus Workshop. Marked homework is returned in boxes located inside the workshop. You need to do both the questions from the textbook and Instructor’s Questions. Questions: 1. Questions from the textbook Calculus: Early Transcendentals 6th Edi- tion by James Stewart Section 2.5: 6, 20, 24, 34, 42, 48, 52a Section 2.6: 6, 24, 32, 42, 58 2. Instructor’s Questions:
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Unformatted text preview: (a) Suppose that f and g are two functions both continuous on the interval [ a, b ], and such that f ( a ) = g ( b ) = p and f ( b ) = g ( a ) = q , with p 6 = q . Sketch typical graphs of two such functions. Then apply the intermediate value theorem to the function h ( x ) = f ( x )-g ( x ) to show that f ( c ) = g ( c ) for some point c ∈ ( a, b ). (b) Find an example of a function f such that: i. The line y = 2 is a horizontal asymptote of the curve y = f ( x ) and ii. the curve intersects the line y = 2 at an inﬁnite number of points. 1...
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