Page 173 - ADVANCED MATH F.5

Form Five Form Five

(b) Point inflexion (0, 0) minimum point (3, − 27) ;

x-intercept 0= and 4, y-intercept 0=
(c) Maximum point (2, 44) minimum point ( 3, 81)− − ;
FOR ONLINE READING ONLY
x-intercept 3.6= and 5.1− , y-intercept 0=

 11 
(d) Maximum point  ,  , infexion point (0, 0) ;
 3 81 
5
x-intercept 0= and , y-intercept 0=
12

(e) Maximum point (0, − 4) ; x-intercept 2= , and 2− ;
y-intercept = − 4

 1 49   13 
(f) Maximum point − ,  , minimum point  ,  ;

 6 54   2 2 
x-intercept 1= , y-intercept = − 1

2x + 24
2
8 3 cm
7. cm, 4 12 cm 8. 10.98 m 2
x
200 400 2
9. r = cm, h = 20 cm cm 10. 1250m 2
h =
3π 3 3π

Taylor and Maclaurin series

Teaching steps
1. Introduce to students through discussion Taylor’s series. Assist
them in deducing Taylor’s series by performing successive
differentiation of ()fx about x = . a
2. Use Examples 8.71, 8.72, and 8.73 in the Student’s Book to
guide students to apply Taylor’s series to find solutions for the
given problems.

167
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:43
ADVANCED MATH F.5 TG CHAPTERS.indd 167
ADVANCED MATH F.5 TG CHAPTERS.indd 167 30/06/2024 18:02:43