Consider the function z = f(x, y) = yea, a > 1 is a parameter. i....

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Consider the function z = f(x, y) = yea, a > 1 is a parameter. i. Find the gradient vector to f(x, y) at (x, y) = (0, 1). ii. Plot the gradient vector from (i.) in the (x, y)-plane. In what direction is it pointing and what does this mean? iii. Calculate f(0, 1). iv. Calculate the tangent plane to f(x, y) at (x, y) = (1,0). Consider the function z = f(x, y) = yea, a > 1 is a parameter. i. Find the gradient vector to f(x, y) at (x, y) = (0, 1). ii. Plot the gradient vector from (i.) in the (x, y)-plane. In what direction is it pointing and what does this mean? iii. Calculate f(0, 1). iv. Calculate the tangent plane to f(x, y) at (x, y) = (1,0).