Tutorial1(0211)

Tutorial1(0211) - n ( B ) ? Find A ∪ B and A ∩ B . 4....

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
T1/MATH0211/2009-10 THE UNIVERSITY OF HONG KONG DEPARTMENT OF MATHEMATICS MATH0211 Basic Applicable Mathematics Tutorial 1 1. Let A = { α R : x 2 + αx + 4 = 0 has two distinct solutions } , B = { α R : x 2 + αx + 4 = 0 has exactly one solution } , C = { α R : x 2 + αx + 4 = 0 has no solutions } . (a) Express A and C in interval notation. (b) Represent B by the listing method. 2. Let S 1 = { ( x, 0) R 2 : 0 x 1 } , S 2 = { (1 ,y ) R 2 : 0 y 1 } , S 3 = { ( x, 1) R 2 : 0 x 1 } , S 4 = { (0 ,y ) R 2 : 0 y 1 } . (a) What is the geometric figure the set S 1 S 2 S 3 S 4 represents? (b) Use a similar method, represent the boundary of the right-angled triangle with vertices (0 , 0) , (3 , 0) and (3 , 2) . 3. Let A = { 1 , 3 , 5 , 7 } and B = {{ 1 , 3 } , { 5 } , 7 } . (a) List out all possible subsets of A that contains the element 1 . (b) List out all possible subsets of A that does not contain the element 3 . (c) What is
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: n ( B ) ? Find A ∪ B and A ∩ B . 4. Let A = [0 , 4] and B = (2 , 6] . Find (a) A ∪ B (b) A ∩ B (c) R \ A (d) ( R \ A ) ∪ ( R \ B ) 5. How many different letter arrangement can be formed using the letters O E M AGA when (a) the two A ’s occupying end places; (b) E being always in the second place? 1 Discussion I. Let R = { ( x,y ) ∈ R 2 : y = x 2 } , S = { ( x,y ) ∈ R 2 : y = x 4 } . (a) Represent R and S in the same coordinate plane R 2 . (b) Find R ∩ S . What is its cardinality? II. Can you apply the first formula in Theorem 1.37 (Chapter 1) to show that the second formula is true? 2...
View Full Document

This note was uploaded on 01/02/2012 for the course MATH 0211 taught by Professor Chan during the Spring '10 term at HKU.

Page1 / 2

Tutorial1(0211) - n ( B ) ? Find A ∪ B and A ∩ B . 4....

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online