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Consider the surface z=3x^2*y+y^3-3x^2-3y^2+2 a. A boy is playing frisbee on this surface standing at (-1,0,-1)....

Consider the surface z=3x^2*y+y^3-3x^2-3y^2+2

a. A boy is playing frisbee on this surface standing at (-1,0,-1). If he walks in the direction <4,-3> is he going uphill or downhill? How steep is the surface in that direction? Explain

b. Find the cosine of the angle of inclination of the tangent plane at the point (1,2,1)

c. At which 4 points is the angle of inclination of the tangent plane equal to 0?

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