Answers Math test jan2012
1.
2a.
3a.
4a.
5a.
6a.
3x 3  y 3
x3
4
(xy  3)2
1 and 2
x 1  x  0
x (x 2  2)
(x 2  1)  x 2  1
7.
y   25
x  112
8
8.
maximum f ( 0)   13
2b.
1
3b.
2(a  5)2  (a  1)2  (a  3)
4b.
5b.
1 5
x  40
6b.
2e 2x  (x  1)7  (x  5)
4c.
4.45
1c.
n
1n
3c.
1  2 2
4c.
3x 4
6c.
–0.0037
minimum f (9)  16 e 3
Answers Math test april 2012
1a.
1
10
1b.
x 4z
y
2a.
x 2 (x  2)(x  1)
2b.
b(a  2b)(a  2b)
3a.
0 and –1.17
3b.
4a.
x  1 or 0  x  2 4b.
3
4
5.
1  3x
all real x
`
2
(1  x 2 )3
6a.
35
7.
8a.
𝑦 = 4𝑒 4 𝑥 − 7𝑒 4
x  0 or x  1
6b.
–0.185
8b. minimum at (1, –1) and inflection point at (0,1)
6d. 421.875