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...
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...
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 integrals F dr and G dr where C is the arc of the reasoning r2 4 curve formed by the intersection of the plane z = 4 and the surface--+92 in the first octant, oriented anti-clockwise when view from above. 1. Let F-yi(xr...
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)...
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.
Hi need help for these Questions: a. Given f = yi + xzk and g = xyz2, determine (∇ x f ) . ∇g at the point (1,0,3) b. Point A lies on the curve r(t) = 2 cos t i + 2 sin t j + t k for the range 0 ≤ t ≤ 2π . At point A, the tangent vector is T = - 21/2i + 21/2j + k. Determine the co-ordinates of point A and...