1. This question concerns the field F(x, y) = (2, -I). [4] a) Plot field F in the window [-3,3] x[-2, 2]. Draw a field arrow at each grid point. Draw each arrow about 0.5 units in length. The arrows at (0,0) and (1, 0) have already been drawn. [4] b) On your field plot, draw in the curve C, which starts at (-3, -7) and "follows the field", meaning that at every point (r, y) on C, the vector F(x, y) is tangent to C. [6] c) Note that at any point (z,y) on curve C, the slope dy/da of C must equal the "slope" of the vector F(x, y), which is -z/2, or -2. Therefore, if the equation for curve C is written in the form y = f(x), then f(x) must satisfy S'(x) = -7r. Find the equation for curve C