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Assignment1(1804)(v1-19-1-11)

Assignment1(1804)(v1-19-1-11) - A1/MATH1804/2010-11/2nd THE...

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A1/MATH1804/2010-11/2nd THE UNIVERSITY OF HONG KONG DEPARTMENT OF MATHEMATICS MATH1804 University Mathematics A Assignment 1 Due date : Jan 27, 2011 before 17:00. Remember to write down your Name , Uni. number and Tutorial Group number . You are welcome to see the instructor or the demonstrators if you have any difficulties. See “Course information” at http://hkumath.hku.hk/course/MATH1804 for availabilities. Please drop your work in the assignment box marked MATH1804 on the 4th floor of Run Run Shaw Building. No late work will be accepted. 1. Describe the following sets with the set-builder notation: (a) The set of all negative odd integers (b) The set of all squares of even numbers (c) The set of all real numbers whose square roots are less than 10 but greater than 2 . 2. Represent the following sets by listing: (a) A = { x N : 5 x 2 - 12 x + 4 = 0 } (b) B = { x Q : 5 x 2 - 12 x + 4 = 0 } 3. Find the (real) solution sets of the following: (a) x 2 + 3 x - 18 = 0 (b) 3 x 2 - 4 x + 7 = 0 (c) - x 2 - 12 x - 20 > 0 4. Let f ( x ) = x - 2 and g ( x ) = 1 x + 3 . Write down the natural domain and the range of g .

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Assignment1(1804)(v1-19-1-11) - A1/MATH1804/2010-11/2nd THE...

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