M408C HW2

M408C HW2 - tong(eyt88 – Homework 2 – knopf –(55420 1...

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Unformatted text preview: tong (eyt88) – Homework 2 – knopf – (55420) 1 This print-out should have 20 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. This assignment covers Sections 2.4, 2.5, 3.1, and 3.2. 001 10.0 points How close to − 3 do we have to take x for the inequality 1 ( x + 3) 2 > 600 to hold? 1. within at least 0 . 06 2. within at least 0 . 12 3. within at least 0 . 04 4. within at least 0 . 1 5. within at least 0 . 08 002 10.0 points Determine which of the following could be the graph of f near the origin when f ( x ) = x 2 − 7 x + 10 2 − x , x negationslash = 2 , 4 , x = 2 . 1. 2. 3. 4. 5. tong (eyt88) – Homework 2 – knopf – (55420) 2 6. 003 10.0 points Determine which (if any) of the following functions is not continuous at x = 3. 1. f ( x ) = 1 | x − 1 | x ≥ 3 1 2 x < 3 2. f ( x ) = braceleftBigg 1 x − 3 x negationslash = 3 3 x = 3 3. all continuous at x = 3 4. f ( x ) = braceleftbigg | x − 3 | x negationslash = 3 x = 3 5. f ( x ) = braceleftBigg 27 2 x − 3 x negationslash = 3 9 x = 3 6. f ( x ) = 1 x − 1 x ≥ 3 1 2 x < 3 004 10.0 points Find all values of x at which f ( x ) = 6 1 + sin x fails to be continuous. 1. x = nπ, all integers n 2. x = 2 nπ, all integers n 3. x = (2 n + 1) π, all integers n 4. x = nπ + π 4 , all integers n 5. x = nπ + 3 π 4 , all integers n 6. x = 2 nπ + π 2 , all integers n 7. x = nπ + π 2 , all integers n 8. x = 2 nπ + 3 π 2 , all integers n 005 10.0 points Find the largest value of...
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This note was uploaded on 01/27/2011 for the course MATH 408C taught by Professor Knopf during the Spring '10 term at University of Texas.

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M408C HW2 - tong(eyt88 – Homework 2 – knopf –(55420 1...

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