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2. Find or show that it DNE lim (x,y)->(0,0) (x^2y)/(x^2+y^2) 3. Abs max and min for f(x,y) = 2xy - x - y on triangle (0,0), (0,2), (2,0) 4. Find linearization L(x,y) of f(x,y) = x^3y^4 at P(1,1). Use L(x,y) to evaluate f(0.9, 1.1) 5. Evaluate ?_R (y+x)e^(x^2-y^2)dA by variable change, R is the rectangle enclosed by y-x=0, y+x=0, x-y=2, x+y=3 6. Use Green to find ?_C (x^2y+2sinx)dx + (y^2x-2cosy)dy, C is the circle x^2+y^2=4 7. Evaluate ?_S (x+y+z)dS where S is the hemisphere x^2+y^2+z^2=9, x>=0 8. Find an eq. of the tangent plane at (4,2,1) to S: r(u,v) = v^2i - uvj + u^2k, 0<=u<=3, -3<=v<=3 9. Verify Stokes for F = zi + xj + yk where C is intersection x^2+y^2+z^2=1 and z^2=x^2+y^2, z>=0 10. Verify Divergence for F = x^2i + xyj + zk. S is the surface of the solid bounded by paraboloid z=x^2+y^2 and plane z=1

          2. Find or show that it DNE lim (x,y)->(0,0) (x^2*y)/(x^2+y^2)
3. Abs max and min for f(x,y) = 2xy - x - y on triangle (0,0), (0,2), (2,0)
4. Find linearization L(x,y) of f(x,y) = x^3*y^4 at P(1,1). Use L(x,y) to evaluate f(0.9, 1.1)
5. Evaluate ?_R (y+x)e^(x^2-y^2)dA by variable change, R is the rectangle enclosed by y-x=0, y+x=0, x-y=2, x+y=3
6. Use Green to find ?_C (x^2y+2sinx)dx + (y^2x-2cosy)dy, C is the circle x^2+y^2=4
7. Evaluate ?_S (x+y+z)dS where S is the hemisphere x^2+y^2+z^2=9, x>=0
8. Find an eq. of the tangent plane at (4,2,1) to S: r(u,v) = v^2i - uvj + u^2k, 0<=u<=3, -3<=v<=3
9. Verify Stokes for F = zi + xj + yk where C is intersection x^2+y^2+z^2=1 and z^2=x^2+y^2, z>=0
10. Verify Divergence for F = x^2i + xyj + zk. S is the surface of the solid bounded by paraboloid z=x^2+y^2 and plane z=1

2. Find or show that it DNE lim (x,y)->(0,0) (x^2*y)/(x^2+y^2)
3. Abs max and min for f(x,y) = 2xy - x - y on triangle (0,0), (0,2), (2,0)
4. Find linearization L(x,y) of f(x,y) = x^3*y^4 at P(1,1). Use L(x,y) to evaluate f(0.9, 1.1)
5. Evaluate ?R (y+x)e^(x^2-y^2)dA by variable change, R is the rectangle enclosed by y-x=0, y+x=0, x-y=2, x+y=3
6. Use Green to find ?C (x^2y+2sinx)dx + (y^2x-2cosy)dy, C is the circle x^2+y^2=4
7. Evaluate ?S (x+y+z)dS where S is the hemisphere x^2+y^2+z^2=9, x>=0
8. Find an eq. of the tangent plane at (4,2,1) to S: r(u,v) = v^2i - uvj + u^2k, 0<=u<=3, -3<=v<=3
9. Verify Stokes for F = zi + xj + yk where C is intersection x^2+y^2+z^2=1 and z^2=x^2+y^2, z>=0
10. Verify Divergence for F = x^2i + xyj + zk. S is the surface of the solid bounded by paraboloid z=x^2+y^2 and plane z=1

Added by Victor B.

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