(c) Evaluate the line integral: [xds where C is the piece-wise smooth curve C = C₁₁₁₂ C and C, is the curve from (0, 0) to the point (1, 1) along the graph of: y = x and C₂ is the curve from (1, 1) back to the point (0, 0) along the graph of: y = x 2 1. -1-

Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.

Let f (x, y) = e(2x-3y). Find the equation for the tangent plane to the graph of f at the point (1, 2). (Use symbolic notation and fractions where needed.) Z =

Find the analytic function if the imaginary part is (2xy +5y) where u (0,0) =0