Question 1 consider the curve C = [(x' y) e R2 I y = 24 + x2, 7 S X S 7} in R2. Evaluate the line integral mes ! = [ch/l +4:ii'2 + sin 3:3 . emf his. remaining: 3 Marked out of I = [:1 V \"3" Check question meationz Evaluate the line integral [C I? - d?, where I? (x,y) = (xyz.x2y) and : Tries remaining: 3 C C ' ' 0 0 2 4 Marked Moi {a} . IS the line segment from( . )to( . ), 10.00 i' \":9 (hi 6 = C2 is the parabolic arc y = x2 from (0,0) to (2,4). ones on NOTE: In blank boxes type ab for a sic b Solution: (3} The line C I joining given points has paramedic equations x = r, y = where _<_ r hence fr d f: ar- where a: t anda="0" finally ff ia the parabolic arc c2 joining given points has paramedic equations .1:="l." y="r2" s i f0: btsdr. e andb="a" ii it _. note: if c is any piecewise-smooth curve . then fc dr : field check>