MAT2322 IMAGE

Consider the vector-field F - (x + ye" + siny)i + (e" + x cosy)j. (a) Show that is conservative. (b) Find a potential function f for F . (c) Let C be oriented curve consisting of the arc of the parabola y = 1 + x from the point (0, 7) to the point (VT, 27) . Evaluate the line integral F . dr