Question

2. [18 Marks] For the given sketch of y = +2, y = x +2. 1) Find the intersection points A, B and C. (Do not Estimate!) 4 [7 Marks) B 15FMAT127 Assignment 2 Page 2 of 3

Answer 1

two curues gruen y = x + 2 and y=x+ 2 6) yn 4 /y=+2 y=x+2 IC B I x (ii) to to cletermine the area ellosed between the two curves gruan we need to determine the rules action points . / 3 2 +2 =X+2 4 > 3 x 4 20 ΟΥ 3 x x -1)=

=) x=0 2 2-1 = 0 och -I = 0 4 - 2 X 4 Ə 2 C 4 07 i = 12 do the enterocellion points are eu googid when a 2 = (2)+2 = 0 an - A - 62,0) When a = y = 03 + 2 = 2 > B = 0,2) when a = . 3 ४ = 4+2 = 4 C = (2,4) 2 ) ไป

Note: A feu >8 2=9 - y x = 6 f®) – repper. curie ga ja lower curve Arca enclosed between two curies y=f& and y. gec) on the interval [a,b] is given by A = ger)) obe as a In our case area enclosed between the two claues (shown in the figure Shadeel argfons) can be evaluated as the deem Lido Lepenite areas AI and At ie A = AITA I q

upper curue AI AI 402) Clower curve Vì sao L. (Er-regde 3 2-X Sara x) dx 4 0 2. 4 20 4 - 2 2 4)-() upper true 0-1 + 2 = 1 2 oskatzen AL lower curve 2 4 2. S (242) **+ 2) di -122 *&)-() S -x dre x -1.2 2 4 4 0 こ = 2 2 시 >> A = AI+ AI 2-1-0 I area enclosed between the two curus. Hl- 2
Thank you.