1. Let Ci be the line segment from the origin to (3, 2, 0); C2 be the shorter circular arc of the circlecenter at (3,0, 0) and radius 2 on the plane r = 3 from the point (3,2, 0) to (3, -2,0); and C3 bethe line segment from (3,-2,0) to (3,0, 0).(a) Draw a sketch of the curves C1, C2, and C3 in one 3-dimensional space R'.(b) Give a parametric representations of C1, C2, and C3, and denote it by R, (t), R2(t), and Ra(t),respectively.(c) Evaluate the line integralsx dx + z dy – xy dz,for k = 1,2, 3.(d) Calculate:r dr + z dy – y dz,where C = C1 + C2 + C3.2. Given

The three curves given are as follows: C1: The line segment from 0,0,0 to 3,2,0. C2: The circular…

Let Ci be the line segment from the origin to (3, 2,0); C2 be the shorter circular arc of the circle center at (3,0,0) and radius 2 on the plane r = 3 from the point (3,2,0) to (3,-2, 0); and Ca be the line segment from (3, -2,0) to (3, 0, 0). (a) Draw a sketch of the curves C1, C2, and Cs in one 3-dimensional space R. (b) Give a parametric representations of C1, Ca, and Ca, and denote it by R(t), Ra(t), and Ra(t). respectively. (c) Evaluate the line integrals I dr +z dy - ry dz, for k = 1,2, 3. (d) Calculate: I dr + z dy - ry dz, where C = C1+ C2 + C3.