exercise_problems(0211)

exercise_problems(0211) - SE1/MATH0211/2009-10 THE...

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Unformatted text preview: SE1/MATH0211/2009-10 THE UNIVERSITY OF HONG KONG DEPARTMENT OF MATHEMATICS MATH0211 Basic Applicable Mathematics Supplementary Exercise 1 (Chapter 1–4) (NOT to be handed in) 1. Let A = [- 2 , 3) ,B = { x ∈ R : | 3 x- 2 | ≤ 4 } , C = (1 , 4) ∩ Z . Find the following sets: (1) R \ C (2) A ∩ B , A ∪ B (3) B \ A (4) C ∩ ( R \ B ) 2. Jim wants to buy roses for his girlfriend. There are three colors to choose: white , red and pink. For each color, the big one costs 2 HKD and the small one costs 1 HKD. (i) Assume Jim wants to use up all the money he has. Compute the number of ways to buy roses when he has (a) 1 HKD and (b) 7 HKD. (ii) Assume Jim wants to maximize the number of roses he can buy. Compute the number of ways to buy roses under the same money constraints as in (i). 3. Determine the domain and range of each of the following functions, try to sketch the graph of (a), (b), (d) (a) y = √ x 2- 5 (b) y = x x + 3 (c) y = 5 x ( x- 4)( x + 1) (d) y = 1 √ 9- x 2 (e) y = x 2...
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exercise_problems(0211) - SE1/MATH0211/2009-10 THE...

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