(a) Calculate the flux of the vector field F(x, y, z) = 3i – 9k through a sphere of radius 2 centered at the origin, oriented outward. Flux = (b) Calculate the flux of the vector field F(x, y, z) = i − 2j + 6k through a cube of side lengt - 2 with sides parallel to the axes, oriented outward. Flux =

Q: Let A = [ -6, 8) U [10, ∞). Find Two subparts: A', the cluster pts of A  A (with a line __ above…

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Q: A solid material has thermal conductivity K in kilowatts per meter-kelvin and temperature given at…

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Q: a) Calculate the flux of the vector field F(x, y, z) = 275k through a sphere of radlus 4 centered at…

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Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

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Q: Fill in the table and then sketch the vector field. z| y F(z, y) = (, %3D 20 0 2 -2 -2 2 -2 -2| -2 2…

A: Here, to fill the table and then plot the vector filed.

Q: Calculate the flux of the vector field F(x, y, z) = (4x+8) through a disk of radius 6 centered at…

A: Given,                    To find the flux of the given vector field through a disk of radius 6…

Q: Find the flux of the constant vector field =-7-j+ k through a square plate of area 25 in the…

A: A constant vector field  and a square plate of area 25 in the xy plane oriented in the positive z…

Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

A:

Q: A solid material has thermal conductivity K in kilowatts per meter-kelvin and temperature given at…

A: A sphere of radius 1 is x2 + y2 + z2 = 1. Parametrize the sphere as follows:Now,calculate the…

Q: Sketch the vector field: F(x, y) = (1, 2y) Carefully draw at least four vectors in each of the four…

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Q: Let S be the closed surface consisting of the part of the cone x2 + y – z2 = 0 that lies between the…

A: The vector field is Fx,y,z=-x i-y j+z3 k and the surface is the part of the cone z2=x2+y2 between…

Q: A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector…

A: Given data net velocity (v) V=x-y, z+y+9, z2 net equation  y=1-x2-z2   , y≥0 find  ∫∫sv.ds= ? in…

Q: Compute the flux of the vector field F = xi + yj through the surface S, which is the part of the…

A: Given: F→=xi→+yj→ z=36-x2+y2 ds=1+∂z∂x2+∂z∂y2dxdy       =1+4x2+4y2dxdy   and…

Q: PART A ] (1) Find a complex potential function g(z) of the given vector field F (x,y). (2) find the…

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Q: Sketch representative vectors for the vector field by sketching it's scalar field. F(x, y) =…

A: Given: Vector field ,Fx,y=-12yi^+15xj^We need to sketch the scalar field using representative…

Q: A solid material has thermal conductivity K in kilowatts per meter-kelvin and temperature given at…

A: A sphere of radius 1 is x2 + y2 + z2 = 1. Parametrize the sphere as follows:Now,Now,calculate the…

Q: A solid material has thermal conductivity K in kilowatts per meter-kelvin and temperature given at…

A:

Q: How do I find the flux of this vector field in the image attached?

A: Consider the provided question,

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Q: Sketch the vector field of F = (-y,0) in the xy-plane. %3D

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Q: Find the flux of the constant vector field i = -4 i – 5j- 2 k through a square plate of area 16 in…

A: The solution is given below

Q: Calculate the flux of the vector field F(x, y, z) = (3x + 5) through a disk of radius 4 centered at…

A: we use the formula Flux=∮F.ndS to calculate the flux.