Chapter(^6)
P1^
(vii)
1
6 square units
(viii)
816 square units
(ix)
11121 square units
(x)
816 square units
2 (i) (^) ddyx
= 20 x^3 − 5 x^4 ; (0, 0)
and (4, 256)
(ii) 52056 square units
(iii) 0. Equal areas above and
below the x axis.
3 (i) (a) 4
(b) −2.5
(ii) 6.5 square units
4 (i) (a) −6.4
(b) 38.8
(ii) 45.2 square units
Exercise 6D (Page 198)
1 (i) A: (−3, 9); B: (3, 9)
2 (i)
(ii) (−1, 4) and (1, 4)
(iii) 223 square units
3 (i)
(ii) (−2, −8), (0, 0) and (2, 8)
(iii) 8 square units
4 (i)
(ii) (0, 0) and (2, 4)
(iii) 223 square units
5 (i)
(ii) 1023 square units
(iii) 1023 square units
(iv) 2113 square units
6 (i)
(ii) (1, −5) and (5, −5)
(iii) 1023 square units
7 (i)
(ii) (−1, −5), (3, 3)
(iii) 1023 square units
8 72 square units
9 113 square units
10 (i)
(ii) 8 square units (4 each)
x
y
– O
y = x – x^3
x
y
–1O
y x^2 –x–2
–2 1 2 3
y
–1O
y = x^3 + x^2 – 2x
–3 –2 1 2 x
y
O
y = x^3 + x^2
–2 –1 1 2 x
y
y = x^2 + 3
y = 5 – x^2
5
3
O x
y y = x
y = x
2 x
y y = x^2
y = 4 x – x^2
O 4 x
y
O x
y = 4
y = x^2
y = 8 – x^2
y
O 6 x
y = x^2 – 6x
y = – 5
y
O 4 x
y = 2x –3
y = x(4 – x)
y
O x
y = x^3 + 1
y = 4x + 1