Answer Happy

Posted: **Tue May 10, 2022 8:33 pm**

: 4 Using The Green S Theorem Evaluate The Line Integral F X 2 Dx 36 2ry Dly Where Is The Circler Y 4 Oriented 1 (31.15 KiB) Viewed 46 times

: 4 Using The Green S Theorem Evaluate The Line Integral F X 2 Dx 36 2ry Dly Where Is The Circler Y 4 Oriented 2 (9.42 KiB) Viewed 46 times

: 4 Using The Green S Theorem Evaluate The Line Integral F X 2 Dx 36 2ry Dly Where Is The Circler Y 4 Oriented 3 (9.42 KiB) Viewed 46 times

: 4 Using The Green S Theorem Evaluate The Line Integral F X 2 Dx 36 2ry Dly Where Is The Circler Y 4 Oriented 4 (9.15 KiB) Viewed 46 times

: 4 Using The Green S Theorem Evaluate The Line Integral F X 2 Dx 36 2ry Dly Where Is The Circler Y 4 Oriented 5 (8.67 KiB) Viewed 46 times

: 4 Using The Green S Theorem Evaluate The Line Integral F X 2 Dx 36 2ry Dly Where Is The Circler Y 4 Oriented 6 (9.44 KiB) Viewed 46 times

4. Using the Green's Theorem evaluate the line integral f(x + 2)dx + (36 + 2ry)dly, where is the circler+ y = 4 oriented clockwise. 5. Consider the vector field F(1.y:) = (-y, 3r - y, 2 - ) and compute the divergence, of F.V.F. and the curl of F, VXF. 6. Let Q be the solid bounded by the paraboloid : = x2 + y and the plane : = 4, use the Divergence Theorem find the flux of the vector field F(r.y, =) = (,y - Ty?) over the surface a 7. Use the Stokes Theorem to evaluate the surface integral [S(V x F).nds, where S is the portion of the paraboloid y = 4-1 - with y > 0, and Fis the veetor field F(1.7.2) = (yrº, cosy. 8r).

4. Using the Green's Theorem evaluate the line integral fix** + x)dx +(3+ + 2ru)dly, where is the circle r + y = 4 oriented clockwise

5. Consider the vector field F(x, y, z) = ( ry, 3.r-y, 2 - ) and compute the ( divergence of F, V. F, and the curl of F, VXF

6. Let Q be the solid bounded by the paraboloid = = * + y2 and the plane z = 4, use the Divergence Theorem find the flux of the vector field F(r.y.

= (x,y* - 5.xy?)

7. Use the Stokes Theorem to evaluate the surface integral [/(F).nds, where S is the portion of the paraboloid y = 4 -1. with y>0, and F is the vector F(x,y) == (yr, r?cos y. &r). field