Question

1. Find for the following curve: x= 1, y = 2/7, for 120. 2. Find the exact area of one petal of r = 2 cos 20.

Answer 1

Solutionil) Cuiven Curre is yo =art for to 22=t Now dne at =1 0 f dy ad th dt =axt t2-1 1. I dy dt the it al written Now coe can dy at Х dy dre dre dt dy X 1 ſt dre de dne NA Aug

Solution: ceiven cume is we tue area de 200820 Kuow that a petal can be determined by Of an Entegral of the form A = * 5 °7103-40 How put googro=0 Cos 20 = 0 cort/ COS20 = olee entire 20 =12 o=114 lelting the interval of entegration go from @=0 to o=74 and doubling integration gives 14 4 cos*190) do A = 2 X 1/2 Jo 60848 = 200810 1 CO8 (20) = (01 40+ A =4 २ A =2 c0840 -do S04 (1+cos 48 )do $444 de + 2 (** A = a[03.114 +2 A = 2174 + { [sin r-sino] 지4 sin 40 4 4 sina = sinozo A = 1/2