UOIT MATH1010 Midterm 1 solutions (Blue Cover) 2011

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

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Unformatted text preview: Calculus I Midterm 1 October, 2011 2 1. (11 marks total) Answer each of the following. a) (2 marks) Given that ݏ݅݊ߠ ൌ ସ √ଷ , find ܿ݋ݏߠ and ݐܽ݊ߠ . b) (3 marks) What is the domain of 2 16 1 ) ( x x g ? c) (3 marks) Given the following information about ݂ሺݔሻ, ݃ሺݔሻ : lim ௫→ିଶ ݂ሺݔሻ ൌ 1, lim ௫→଴ ݂ሺݔሻ ൌ 3, lim ௫→ଵ ݂ሺݔሻ ൌ 1 lim ௫→ିଶ ݃ሺݔሻ ൌ െ1, lim ௫→଴ ݃ሺݔሻ ൌ 3, lim ௫→ଶ ݃ሺݔሻ ൌ 1, what can you conclude about the limit of ݄ሺݔሻ as x approaches each value if ݃ሺݔሻ ൑ ݄ሺݔሻ ൑ ݂ሺݔሻ . (justify your answers) i) x →-2 ii) x → 0 iii) x → 1 d) (3 marks) Consider the function 3 2 1 5 ) ( x x x f . Find ) ( 1 x f . Calculus I Midterm 1 October, 2011 3 2. (3 marks) Find )) ( csc(arctan x 3. (5 marks) Sketch a function satisfying ALL of the following properties: i) 2 ) ( lim x f x and ) ( lim x f...
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This note was uploaded on 12/03/2011 for the course MATH 1010 taught by Professor Mihai during the Spring '08 term at UOIT.

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

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