Fall 2016 MA103- All Lab Solutions.pdf - MA103 Lab Report 1...

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MA103 Lab Report 1 - Limits Would you like this assignment Graded? YES or NO Name: Student Number: Fall 2016 1. [6 marks ] Open the °le named Graph.pdf under "Lab Report 1" in MyLearningSpace. Use the graph of f ( x ) to approximate each of the following. Each answer should be a °nite number, 1 ; °1 ; or lastly d.n.e. (does not exist). p
2. [5 marks ] Consider f ( x ) = x 2 ° 9 ° 4 x ° a ; where a is constant.
(b) Determine the vertical asymptotes of f ( x ) when a = 4 : 3. [3 marks ] Consider f ( x ) = x , where a is a constant.
x 2 ° 11 x + 28 (a) Find the value of a such that lim x
(b) Evaluate, if possible, lim x ! 7 f ( x ) using the value determined in part (a) for a .
4. [5 marks ] The Fukushima nuclear disaster in Japan occurred on March 11th, 2011. Over 100 000 people were evacuated due to the release of radioactive material into the earth. Suppose the cost, in billions of dollars, to clean up 100 x % of the radioactive material was given by C ( x ) = 2 p 1 ° x j x ° 1 j . (a) How much did it cost to clean up 75% of the radioactive material? C p 1 ° 0 : 75
(b) Evaluate lim x ! 1 ° C ( x ) and interpret the result.
5. [5 marks ] Consider f ( x ) = cos x and g ( x ) = sin x x : (a) Plot f ( x ) ; 1 f ( x ) ; and g ( x ) for x 2 [ ° 1 ; 1] in Maple.
(c) Considering your answer to part (b), determine lim x

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