UOIT MATH1010 Midterm 1 solutions (Purple Cover) 2011

UOIT MATH1010 Midterm 1 solutions (Purple Cover) 2011 -...

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Calculus I Midterm 1 October, 2011 2 1. (10 marks total) Answer each of the following. a) (2 marks) If 1 ) ( x x f and 1 1 ) ( x x g , find )) ( ( x g f and )) ( ( x f g . b) (2 marks) What is the domain of 2 4 ) ( z z g ? c) (3 marks) If 2 2 ) ( sin x x f x can you determine ? ) ( lim 2 x f x If so, find the limit, if not, why not? d) (3 marks) Consider the function 3 1 2 ) ( x x x f . Find ) ( 1 x f .
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Calculus I Midterm 1 October, 2011 3 2. (3 marks) Find )) ( tan(arcsin x 3. (5 marks) Sketch a function satisfying ALL of the following properties: i) 0 ) ( lim x f x ii)  ) ( lim x f x iii) 0 ) 1 ( f iv)  ) ( lim 0 x f x and  ) ( lim 0 x f x v) 0 ) 2 ( f
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Calculus I Midterm 1 October, 2011 4 4. (4 marks) Determine the interval in which the equation 0 6 1 2 1 1 3 2 x x x has a solution (root). 5. (3 marks)
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UOIT MATH1010 Midterm 1 solutions (Purple Cover) 2011 -...

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