Find the acceleration u= 2x² + 3y, v=- - 2xy + 3y² + 3zy, Example the following flow field: W =- at a point (1, 1, 1) for 22² +2 z-9y²z + 2xz -

Q: (5) Let V=R2. For (1, 1), (2, 32) EV and c ER, define addition and scalar multiplication operations…

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Q: Assuming that vector fields B (r") and A (r") in the zero infinity, check the correctness of the…

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Q: Use a computer or calculator with Euler's method to approximate the flow line through (1, 2) for the…

A: v→=y2i→+1.3x2j→ Initial point 1,2 ∆t=0.1

Q: 2. Find the gradient of the following scalar functions: a) T = 8/(x+y+2:²) b) V=3x²y³z c) U =…

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Q: 8. Find the flux of F = (2x – 5y², 3y, x) out of the sphcre of radius 2 centered at the origin.

A: The flux of the vector space is given by the formula, ∫S∇.F dS where S is the sphere of radius 2…

Q: a For the function = x²y+yz at the point (1,2,-1), find its rate of change with distance in the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: One of the following vector functions is a gradient Select one: O (xy? + 2y?)7+ (2y³ – x²y+ 2x)j O…

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Q: Choose a correct potential function for the conservative vector fieldF = (3x-y+1, –x-4y-2).

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Q: Compute the flux of the vector field (ï³, — xy³), out of the rectangle with vertices (0,0), (4,0),…

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Q: d) An open surface F is given by F = {(x,y, z) |z = 4 – x² – y² , z > 0} . Compute the flux of V…

A: V(x,y,z) = <2x+3y,2y+3x,-4z>F={ (x,y,z) : z=4-x2-y2 , z≥0}Consider, g(x,y,z) = z+x2+y2-4…

Q: he upward flux of

A: Introduction: Let F be a function and let the region is S, then the flux of the function is given…

Q: Find the values of a, b and c that make F=-5y°z7 (ax + bx6ji - 45,8,7(4x10, 107j+ cy°z64x10, 10x7jk…

A: Given that                          F=-5y9z7ax9+bx6i-45y8z74x10+10x7j+cy9z64x10+10x7k we know that…

Q: An Eulerian flow field is described in Cartesian coordinates by V = 4i+xzj+5y3tk. (a) Is it…

A: According to bartlrby guidelines we have to answer only first three subparts please upload the…

Q: Suppose the vector field v(x, y, z) = (4xy2, -4xz², 5x) represents the velocity field of a fluid.…

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Q: (2) Sketch the direction field associated to the system I'=x²-y-3, y = y + x² - 5. Include the…

A: sketch the direction field associated to the system    x' = x 2 - y - 3 y' = y + x 2 - 5   include…

Q: If the vector K az+Lay+ Ma, shows the maximum increase rate and direction of the scalar V at point…

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Q: (c) Calculate the divergence (V.Ä = div Ã) and curl (V × Ā = rot Á). of the following vector fields.…

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Q: Compute the flux of the vector field (x², - xy³), out of the rectangle with vertices (0,0), (5,0),…

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Q: Find the flux of F = z²k upward through the part of the sphere æ² + y² + z² = a² in the first octant…

A: Given vector field is  F=z2k to find the flux through sphere x2+y2+z2=a2 in the first octant.

Q: Find the matrix for a shear in the x-direction that transforms the triangle with vertices (0,0),…

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Q: Find the linearization L(x, y, z) of the f(x, y, z) = 6(x3 + y3 + z3)1/2 at the point (1, 2, 3).

A: f(x, y, z) = 6(x3 + y3 + z3)1/2We have to find linearization L(x,y,z) of f(x,y,z) at point (1,2,3)

Q: Suppose the vector field v(x, y, z) = (2z − 1) i + (−2y − 3) j+ (3z − 2) k represents the velocity…

A: The given problem is to find the circulation of the given vector field over the path C of triangle…

Q: 3. Let A = (-1 2 and B = 2 0 I. Compute tensor products A®B and B® A: II. Compute Hadamard products…

A: Given A =01-12 & B =1220 1. we have to compute the tensor product A⊗B & B⊗A  A⊗B = 01-12⊗…