3. Given the following function: f(x,y)=sin(xy) a. Find the direction of most rapid increase at the point (1,0). b. Find the direction of most rapid decrease at the point (1,0). c. Find the direction of zero change at the point (1,0). d. Find the equation of the tangent plane at the point Po(3,1, –1) on the surface x = y² + z² + 1.

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