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QUESTION 1 3x— A4 — X 5 dx can be determined using the partial fractions 1 + 2 1—x I+x 1—x The indefinite integral f The value of 4 1s (A) 3 (B) 1 <€) 1 (D) 3
Simple Familiar

Technology Free

2020
QUESTION 2 When using proof by mathematical induction to show that n(2n—1)(2n +1) is divisible by 3V ne Z™ the inductive step requires proving () (k+1) (B) (k+1) (k+1) (k+1) k +1)(2k)(2k +2) is divisible by 3. ( (2k)(2k +3) is divisible by 3. k +1)(2k +1)(2k +2) s divisible by 3. ( (D) (k+1)(2k +1)(2k+3) is divisible by 3.
Simple Familiar

Technology Free

2020
QUESTION 3 According to a recent census the mean hours worked per week by all Australian workers is 35.6 hours. A mean of 36.1 hours worked per week is calculated from a random selection of 500 Australian workers. Based on this data which of the following is correct? (A) x=35.6 u=36.1 (B) X =35.6 X=36.1 (C) x=36.1 u=35.6 (D) x=36.1 X =356
QUESTION 4 Consider points A and B as shown. NP e e e e o o  10 . X The position vector representing the midpoint of AB is 5 (A) 85 10 5 10 8.5  : o[ ; (B) 5 10 5 8.5 (D)
Simple Familiar

Technology Free

2020
QUESTION 5§ Determine f 4x(3x2 +5)3 dx (A) %(3x2+5)4+c (B) %(3x2——5)4——c ©) 2(3x2——5)2——c (D) 72x> (3x2 + 5)2 te
Simple Familiar

Technology Free

2020
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