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hwk7 - HOMEWORK ASSIGNMENT#7 due in class on Friday...

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due in class on Friday, November 8 Student No: Name (Print): Note: All homework assignments are due in class one week after being assigned. They must be on standard 8 1 2 × 11 size paper and they must be stapled. Assign- ments which are not stapled will not be accepted. I will not bring a stapler to class. Please enter your student number and name (as it appears on the regis- trar’s list) in the spaces above. SURNAME FIRST IN CAPITALS, and given name second. Please put your answers in the boxes (if provided) and submit these pages for your assignment. 1. Find the linearizations L ( x ) of the following functions f ( x )near x =0 . (a) f ( x )= 25 + x 2 + x . (b) f ( x )=(1 - 2 x ) β , where β is some constant. (c) f ( x )=ln( x + 1 - x 2 ) . 2. Two towns on the trans Canada Hiway are 100 km apart. Two cars leave the ﬁrst town at 1:00 pm and both arrive at the second town one hour later. Show that at sometime between 1:00 pm and 2:00 pm they had the same velocity. 1

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hwk7 - HOMEWORK ASSIGNMENT#7 due in class on Friday...

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