Page 172 - ADVANCED MATH F.5

Form Five Form Five

)
2; Turning point
k =
(1, 3 and−
6. k = 2; Turning points (1, –3) and ⎛ ⎜ 1 ,− 77 ⎞ ⎟
⎝ 3 27 ⎠
7. (0, 9− ) 10. y = x − 3 3x + 5
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Real life problems on maximum and minimum values

Teaching steps
1. Guide students through discussion to follow steps 1 to 5 in the
Student’s Book for classifying stationary points. Assist them in
determining the nature of the stationary points.

2. Use Examples 8.66 to 8.70 in the Student’s Book to guide
students to use the conditions for maximum and minimum
values to find solutions of the given examples.
3. Assign students to attempt Exercise 8.17 in the Student’s
Book. Advise them to submit their work; check the correctness
of their answers, and provide them constructive feedback.

Answers to Exercise 8.17

3 243
2
3
1. 48m 2. x = ;v = cm 3. 20
2 4
⎛ 2 ⎞
4. Maximum point ⎜ ,5 13
⎟
⎝ 3 ⎠
⎛ 74 ⎞
5. Maximum point ⎜ , ⎟ , Minimum point (3,0 )
⎝ 3 27 ⎠

 4 4 
6. (a) Maximum point  ,  minimum point (2, 0) ; x-intercepts
 3 27 
= 1 and 2, y-intercept = − 4

166
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:42
ADVANCED MATH F.5 TG CHAPTERS.indd 166
ADVANCED MATH F.5 TG CHAPTERS.indd 166 30/06/2024 18:02:42