If you want just answers, then I'll type them out here. Full worked solutions, you'll have to ask me for those ones.
6. a) i) t = 1 and t = 5.4
ii) t = 3
iii) t = 5
iv) t = 8
b) i) x = 1/2
ii) x < 1/2
iii) pt. of inflection is at x = 1, concave up for x > 1
iv) I'm not drawing the graph out
v) As x approaches +infinity, y approaches 1
7. a) i) discriminant = 4 - 12k
ii) k
< 1/3
b) i) y = -2x + 5pi/3 + 1, or in general form, 6x + 3y - 5pi - 3 = 0
ii) Maxium value = 3, Minimum value = -1
c) Let @ = theta
i) r = 8/(2+@)
ii) A = 32@/(@+2)
2
iii) @ = 2, Area is 3.9422 cm
2
8. a) i) R = 288 kg/s
ii) T = 10
iii) R = 2000rt3/9 kg/s
iv) A = 50t
2 - 1/4 * t
4 + 300
v) Weight = 2176 kg
b) ii) V = 63pi/ln4 units
3
9. a) x = 3, 4
b) Area = 3rt3/4 units
2
10. a) i) P (win) = 7/18
ii) P (win at least once) = 203/824
b) i) 88 660
iii) $1 694 000
iv) The farmer should sell after 7 years