Mid-Semester Test: Department of Mathematics and Statistics Mathematics
CURTIN UNIVERSITY Department of Mathematics and Statistics Mathematics 103
MID-SEMESTER TEST
Semester 1, 2013
INSTRUCTIONS: Answer all questions in the spaces provided.
To obtain full marks for a question you must clearly show appropriate working.
TIME ALLOWED: TOTAL MARKS: AIDS ALLOWED:
50 minutes. 50 1. 2. Scientific or Graphics Calculator. A4 Sheet of handwritten notes (both sides).
Last Name: _______________________________________________________________ Given Name: ______________________________________________________________ Student Number: ___________________________________________________________ Tutors Name: _____________________________________________________________ Tutorial Day: ________________________ Tutorial Time: _________________________
Mathematics 103, Semester 1 - 2013
MID-SEMESTER TEST
2
Question 1 Determine the equation of the line that passes through the points 2, 12 and 5, 6 . (3 marks)
Question 2 Find the limit, lim
→
2 3 2
(3 marks)
Question 3 is on the next page…
Mathematics 103, Semester 1 - 2013
MID-SEMESTER TEST
3
Question 3 If domain. and √ 3 find the composite ∘ and state its (5 marks)
Question 4 Identify the function cos as being odd, even or neither. (4 marks)
Question 5 is on the next page…
Mathematics 103, Semester 1 - 2013
MID-SEMESTER TEST
4
Question 5 The triangle of side . has side lengths 7, 5 and ∠ 70∘ . Determine the length (4 marks)
Question 6 Solve the following equation for 3 by first completing the square of the quadratic, 6 13 0 (4 marks)
Question 7 is on the next page…
Mathematics 103, Semester 1 - 2013
MID-SEMESTER TEST
5
Question 7 Solve the equation tan tan for ∈ 0, 360° . (5 marks)
Question 8 Determine the Polar Coordinates , 5, √11 . , for the point whose Cartesian Coordinates are (2 marks)
Question 9 is on the next page…
Mathematics 103, Semester 1 - 2013
MID-SEMESTER TEST
6
Question 9
MID-SEMESTER TEST
Semester 1, 2013
INSTRUCTIONS: Answer all questions in the spaces provided.
To obtain full marks for a question you must clearly show appropriate working.
TIME ALLOWED: TOTAL MARKS: AIDS ALLOWED:
50 minutes. 50 1. 2. Scientific or Graphics Calculator. A4 Sheet of handwritten notes (both sides).
Last Name: _______________________________________________________________ Given Name: ______________________________________________________________ Student Number: ___________________________________________________________ Tutors Name: _____________________________________________________________ Tutorial Day: ________________________ Tutorial Time: _________________________
Mathematics 103, Semester 1 - 2013
MID-SEMESTER TEST
2
Question 1 Determine the equation of the line that passes through the points 2, 12 and 5, 6 . (3 marks)
Question 2 Find the limit, lim
→
2 3 2
(3 marks)
Question 3 is on the next page…
Mathematics 103, Semester 1 - 2013
MID-SEMESTER TEST
3
Question 3 If domain. and √ 3 find the composite ∘ and state its (5 marks)
Question 4 Identify the function cos as being odd, even or neither. (4 marks)
Question 5 is on the next page…
Mathematics 103, Semester 1 - 2013
MID-SEMESTER TEST
4
Question 5 The triangle of side . has side lengths 7, 5 and ∠ 70∘ . Determine the length (4 marks)
Question 6 Solve the following equation for 3 by first completing the square of the quadratic, 6 13 0 (4 marks)
Question 7 is on the next page…
Mathematics 103, Semester 1 - 2013
MID-SEMESTER TEST
5
Question 7 Solve the equation tan tan for ∈ 0, 360° . (5 marks)
Question 8 Determine the Polar Coordinates , 5, √11 . , for the point whose Cartesian Coordinates are (2 marks)
Question 9 is on the next page…
Mathematics 103, Semester 1 - 2013
MID-SEMESTER TEST
6
Question 9