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Question 3: (4 points) Consider the surface What is the equation of the tangent plane to the surface at the point P(4,-1,-3)? (a)-7z+32y+24z = -132 (b)-7x +32y +24-0 (c) 42-y-32-132 (d)

4z-y-32=0 (e) x-ry+ry2²-0 What is the equation of the line normal to the surface at the point P(4,-1,-3)? -0-0-0 32 24 -7 (b) =t 32 24 4 () -0-0-0 -0-0 -3 4 =t (d) (e) x-xy+zyz² = -28. 2 2 y =8 -3 +t 32 24 -7 32 24

Fig: 1