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solve question 20 to 23 SAMSUNG 20. Given that Fx.y =) - r'yi + (3x -...
please help ! Q1-Q6 1. Let F (3x - 4y +22)i+(4x +2y 3z2)j + (2xz moving once around an 4y zk be a vector field. Consider a particle ellipse C given by parametrization r= 4 cos ti +3 sin tj. Find the work done. 3 3 = 3, y=-- and 2 1 2. Let D be the region in the first quadrant bounded by the lines y=-r1, y 4 + 1. Use the transformation u 3 2y, v r +...
1.) (12 pts.) Consider the vector field F(x, y, z) = (3x” 2 + 3 + yzbi – (22 - 1z)] + (23 – 2yz + 2 + xy). Find a scalar function f, which has a gradient vector equal to F, or determine that this is impossible,
good evening. i need help with this calculus question. i will thumbs up your answer. or more conveniently, Given the vector field in space F(x, y, z) = ri+yj + zk (x2 + y2 + 22)3/2 F(r) where r = ri+yj + zk and r= ||1|| = r3 r 22 + y2 + 22 (instead of p) (a) [10 pts] Find the divergence of F, that is, V.F. (b) [10 pts] Directly evaluate the surface integral F. NdS where S...
good evening. i need help with this calculus question. i will thumbs up your answer. or more conveniently, Given the vector field in space F(x, y, z) = ri+yj + zk (x2 + y2 + 22)3/2 F(r) where r = ri+yj + zk and r= ||1|| = r3 r 22 + y2 + 22 (instead of p) (a) [10 pts] Find the divergence of F, that is, V.F. (b) [10 pts] Directly evaluate the surface integral F. NdS where S...
xi+ yj + zk 3. Given the vector field in space F(x, y, z) = or more conveniently, (.x2 + y2 + 22)3/2 1 Fr) where r = xi + yj + zk and r= ||1|| = x2 + y2 + x2 (instead of p) 73 r (a) [10 pts) Find the divergence of F, that is, V.F. (b) (10 pts] Directly evaluate the surface integral [/F F.Nds where S is the unit sphere 22 + y2 + z2 1...
(25 %) Q4. A vector field is given as v=e"’i+e+*+j+evk a) Determine the curl of this vector field b) Determine the divergence of this vector field c) If this vector field shows a flow field, explain if the flow is rotational or irrotational. Also, explain if the flow is compressible or incompressible. d) Compute the rate of change of Q(x, y, z) at Po in the direction of r, where P(x, y,z)=2xy + xe”; Po = (-2,1, 6) and r=-2i+j+6k
can you please give me a detailed explained answer. I'm struggling with this topic. like and comment are rewarded for clear answers. (b) Consider a conical surface S described by r(u, u) = u cos uz + u sin uit (1-u) k with an (i) Sketch the surface in the coordinate system defined by the axes i, j, k and the origin. (ii) Find OuT x o,r (ii) Evaluate the fluxJs F ds where the vector field F ri +...
Let F 10i4u 8zk. Compute the civergence and curl of F. , div F , curl F Show steps (1 point) Let F (8y2)i(7xz)j+(6y) k Compute the following: A div F В. curl F- i+ k C, div curt F= Note: Your answers should be expressions of x, y and/or z; e.g. "3xy" or "z" or 5 (1 polnt) Consider the vector field F(r,y, ) = ( 9y , 0, -3ry) Find the divergence and curl of F div(F) VF=...
zi+yj + zk 3. Given the vector field in space F(x, y, z) or more conveniently, (x2 + y2 + 22)3/2 f where r = ci + yj + zk and r= |||| = V2 + y2 + z2 (instead of p) 1 F(r) = r2 (a) [10 pts] Find the divergence of F, that is, V.F. (b) (10 pts] Directly evaluate the surface integral lle F.NDS where S is the unit sphere x2 + y2 + z2 = 1...
can you please give me a detailed explained answer. I'm struggling with this topic. like and comment are rewarded for clear answers. (b) Consider a conical surface S described by r(u, u) = u cos uz + u sin uit (1-u) k with an (i) Sketch the surface in the coordinate system defined by the axes i, j, k and the origin. (ii) Find OuT x o,r (ii) Evaluate the fluxJs F ds where the vector field F ri +...