Question

Daerah D dikuadran 1 dibatasi oleh parabola x=1/2ypangkat 2 garis x-y=4 dan sumbu X . hitunglah luas daerah D

Answer 1

2 per 2 - 4 ...............................................................

Answer 2

X - y = 4
y = x - 4

2x = y²
2x = (x - 4)²
2x = x² - 8x + 16
x² - 8x - 2x + 16 = 0
x² - 10x + 16 = 0
(x  - 8)(x - 2) = 0
x = 8    x = 2

y = √2x 
y = x - 4




[1/2(8)² - 4(8) - ] - [ 1/2(2)² - 4(2) -
[32 - 32 - (2√2)/3(16√2)] - [2 - 8 - (2√2/3)(2√2)]
-32/3 + 6 + 16/3
-16/3 + 18/3 = 2/3 satuan luas