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Do as directed. 1. Determine if the expression is an exact differential, and if it is, find a function for which the expression is a total differential. (a) 3(2x2 + 6xy)dx + 3(3x2 + 8y)dy (b) z tan ydx + xz sec ydy + x tan ydz 2. Evaluate the line integral over the arc C. (a) S(x2 + xy)da + (y? - xy) dy where the arc C is the line y = x from the origin to the point (2, 2). C (b) S(y + 2 ) dac + (x + 2 ) dy + (x + y)dz where the arc C is any arc from (0, 0, 0) to (1, 1, 1)