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

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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

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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

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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

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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

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Question 9