1. Find all local extrema of each of the following functions. (a) f(x, y) = x2 -...

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1. Find all local extrema of each of the following functions.

(a) f(x, y) = x2 - xy + y3 - y.

(b) f(x, y) = sinx + cosy.

(c) f(x, y, z) = eX+Y cos z.

(d) f(x, y) = ax2 + bxy + cy2, where a f 0 and b2 - 4ac f O.

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