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Assignment 2 - 1051 Assignment 2 Due Thursday 1st April...

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1051 Assignment 2 Due Thursday 1st April 2010, 2 pm ? Write your name, student number, tutor’s name, tutorial group (T1, T2, . . . ) and tutorial time clearly on the top of the front page of your assignment. ? Staple the pages of your assignment. Locate the box on level 3 of building 67 corresponding to your tutorial group. Place your assignment there by the indicated deadline. Late assignments will not be accepted. ? Write your answers clearly. Illegible assignments will not be marked. ? Show all your working. Correct answers without justification will not receive full marks. ? Hand in only the questions marked by boxes : # 2(ii), 3, 4(iv), 6, 7. Question 1. For x > 0 solve 2 ln( x 3 ) - ln(32 x ) = ln 4 . Question 2. Evaluate the following limits: (i) lim x 3 ( x 2 - 3 x + 2) , (ii) lim x 2 x - 2 x - 2 , (iii) lim x →∞ (3 x - 1)(3 x + 3) (5 x - 3)(4 x + 5) , (iv) lim x →∞ 3 x x - 1 - 2 x x + 1 . Question 3. Find the inverses of the following functions: (i) f ( x ) = x x + 2 , (ii) f ( x ) = cos π x + 1 .
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