Suppose f (1, y) = , P = (2, -2) and v = -3i + 2j....

 

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Suppose f (1, y) = , P = (2, -2) and v = -3i + 2j. A. Find the gradient of f. Vf = i+ j Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (Vf) (P) = i+ Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v. D„f = Note: Your answer should be a number D. Find the maximum rate of change of f at P. Note: Your answer should be a number E. Find the (unit) direction vector in which the maximum rate of change occurs at P. i+ j Note: Your answers should be numbers Suppose f (1, y) = , P = (2, -2) and v = -3i + 2j. A. Find the gradient of f. Vf = i+ j Note: Your answers should be expressions of x and y; e.g. "3x - 4y" B. Find the gradient of f at the point P. (Vf) (P) = i+ Note: Your answers should be numbers C. Find the directional derivative of f at P in the direction of v. D„f = Note: Your answer should be a number D. Find the maximum rate of change of f at P. Note: Your answer should be a number E. Find the (unit) direction vector in which the maximum rate of change occurs at P. i+ j Note: Your answers should be numbers

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