MATH 1007 - MATH1007*W Answers to the Midterm Test Winter...

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Unformatted text preview: MATH1007*W Answers to the Midterm Test Winter 2004 Part A. Multiple Choice Questions : 1. (sin α- cos α ) 2 can be rewritten as: (a) sin 2 α- cos 2 α (b) sin 2 α- cos 2 α (c) cos 2 α- 1 (d) 1- cos 2 α (e) 1- sin 2 α . (1.0 mark) Answer : (e) 1- sin 2 α . 2. The natural domain of the function f ( x ) = p x- x 2 is: (a) (-∞ , ∞ ) (b) (0 , 1) (c) [0 , 1] (d) { x : x ≤ 0 or x ≥ 1 } (e) { x : x < 0 or x > 1 } . (1.5) Answer : (c) [0 , 1]. 3. The value of lim x →∞ 6 x 2 + 6 x- 4 3 x 2 + 2 x + 2 is: (a) ∞ (b) 0 (c)- 2 (d) 2 (e) 3. (1.0) Answer : (d) 2. 4. arcsin 1 2 is equal to: (a) π/ 2 (b) π/ 3 (c) π/ 4 (d) π/ 5 (e) π/ 6. (1.0) Answer : (e) π/ 6. 5. The inverse function of u = √ arctan w is: (a) w = √ tan u (b) w = tan √ u (c) w = tan( u 2 ) (d) w = tan 2 u (e) w = tan 2 √ u . (1.0) Answer : (c) w = tan( u 2 ). 6. lim h → tan h h is equal to (a) ∞ (b) 0 (c) 1 (d) 2 (e)- 1. (1.0) Answer : (c) 1....
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This note was uploaded on 03/22/2010 for the course MATH 1007 taught by Professor Unknown during the Fall '07 term at Carleton.

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MATH 1007 - MATH1007*W Answers to the Midterm Test Winter...

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