Gradient fields on curves For the potential function φ and points A, B, C, and D on the level curve φ(x, y) = 0, complete the following steps.
a. Find the gradient field F =∇φ.
b. Evaluate F at the points A, B, C, and D.
c. Plot the level curve φ(x, y) = 0 and the
45. φ(x, y) = −y + sin x; A(π/2, 1), B(π, 0), C(3π/2, −1), and D(2π, 0)
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