Question

please don't write in Cursive as i cant read it. And please write it in a clear handwritting. NO CURSIVE please

1. Find the arc length functions for y = arcsin (1) + V1 – z with starting point (0, 1). (10 points)

Answer 1

(1) Given y = arc SinOC + VI-262 (0,1) Arc length of a function y from a to b is b L = st 1+(4092 dae a Here (a,b) = (0,1) y = arc sin(x) + VI-32 ya dy dre + 2 (-28) 1-002 vince la planine) -02 daten n.xn-') y' = - 1- ✓1-002 (91)2 = (1-06)2 1-302 L = is 1+ (1-2)2 doc 1-22 on So + 11-20)(1-3) dec (-2)(1+0) + 1-2 doc I +2 = 1 + x + 1-2 1 + doc 19 doc 11 1+x V2 (1+x)'doc 2 (0+27" -12+171 = 12 1 (1+x) 12+1 1: Jochdx = an+ ntl . 11 var [+z)'et]. 12 = ava [ety"- (1+0)!2] 11 212 [12-1 Scanned with CamScanner