1. Let F-yi(xr +6g) j + 2z k and (a) Which of these two fields (if any) are conservative on R3? Give detailed (b) Find potential functions for the fields that are conservative (c) Calculate the line...
Let F-_y i + (z + 6y) j+2z k and 1. (a) Which of these two fields (if any) are conservative on R3? Give detailed reasoning. (b) Find potential functions for the fields that are conservative (c) Calculate the line integralsF dr and G dr where C is the arc of the curve formed by the intersection of the plane4 and the surface+ in the first octant, oriented anti-clockwise when view from above. Let F-_y i + (z + 6y)...
Full answers please (a) Which of these two fields (if any) are conservative on R3? Give detailed reasoning (b) Find potential functions for the fields that are conservative. (c) Calculate the line integrals |F - dr and G dr where C is the arc of the 2 2 curve formed by the intersection of the plane z = 4 and the surface z =-+9 4 in the first octant, oriented anti-clockwise when view from above (a) Which of these two...
Let F-_y i + (z + 6y) j+2z k and 1. (a) Which of these two fields (if any) are conservative on R3? Give detailed reasoning. (b) Find potential functions for the fields that are conservative (c) Calculate the line integralsF dr and G dr where C is the arc of the curve formed by the intersection of the plane4 and the surface+ in the first octant, oriented anti-clockwise when view from above.
G-ly~2 _ cos(x + y2z)ļi + [xz2-2yz cos(x + y2z)| j + 12.ryz-v2 cos(x + y%)| k. (a) Which of these two fields (if any) are conservative on R? Give detailed (b) Find potential functions for the fields that are conservative. (c) Calculate the line integralsF - dr and / G dr where C is the arc of the reasoning 2 2 curve formed by the intersection of the plane 4 and the surface zy in the first octant, oriented...
1. One of the two vector fields listed below is conservative. The other one is not conservative. (a) Determine which one of these fields is conservative. Label the conservative field F and and find a potential function f for it. Label the other field G and prove that G is NOT conservative. (b) Use the fundamental theorem of line integrals to compute SCF . dr, where C is the curve parameterized by (c) Compute Jc G-dr, where C is the...