Given a horizontal velocity vector V~ = 3xy^4 − 3x^5 y^3 , a temperature function of...
Given a horizontal velocity vector V~ = 3xy^4 − 3x^5 y^3 , a temperature function of ~T = 1x^3 y^2 z^2 , and a pressure function of ~p = -3x^2yz^2 , please complete the following: (a) Determine the geostrophic wind vector Vg (b) Determine the temperature advection (c) Determine the velocity divergence
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Given a horizontal velocity vector V~ = 3xy^4 − 3x^5 y^3 , a
temperature function of...
1.) (12 pts.) Consider the vector field F(x, y, z) = (3x” 2 + 3 +...
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,
Test the divergence theorem for the function as your volume the cube as shown. v =...
Test the divergence theorem for the function as your volume the cube as shown. v = (xy)x + (2yz)y +3x), Take 3. Compute the line integral of v=6x + yz2j) + (3), + z)2 Along the triangular path shown
given the quadratic form h(x,y,z) = 3x^2 +3xy - 2y^2 + 3xz -4z^2 if a function...
given the quadratic form h(x,y,z) = 3x^2 +3xy - 2y^2 + 3xz -4z^2 if a function g(x,y,z) is = h(x+3,y+2,z-5) and has an origin that is a critical point for h(x,y,z) find a critical point for g(x,y,z) while not calculating one, also is it a minimum or a maximum and is it unique?
In a certain region of the atmosphere, the pressure is given as a function of x,...
In a certain region of the atmosphere, the pressure is given as
a function of x, y and z
Consider a fluid moving in this pressure field. The position of
the fluid particle is a function of time and given by
The symbols a, b, H, P and U represent constants.
-Find the wind components u, v, and w ?
-Find the total derivative dp dt according to x, y, z and t. ?
-----
- Find Local acceleration ?...
5. Let F (y”, 2xy + €35, 3yes-). Find the curl V F. Is the vector...
5. Let F (y”, 2xy + €35, 3yes-). Find the curl V F. Is the vector field F conservative? If so, find a potential function, and use the Fundamental Theorem of Line Integrals (FTLI) to evaluate the vector line integral ScF. dr along any path from (0,0,0) to (1,1,1). 6. Compute the Curl x F = Q. - P, of the vector field F = (x4, xy), and use Green's theorem to evaluate the circulation (flow, work) $ex* dx +...
1.) (8 pts.) Consider the vector field F(t, y, z) = (3cʻz + 3 + yzbi...
1.) (8 pts.) Consider the vector field F(t, y, z) = (3cʻz + 3 + yzbi – (22 - 12)ī + (23 – 2yz +2 + xy)k Find a scalar function f, which has a gradient vector equal to F, or determine that this is impossible.
Please provide step by step solution and i will give you a positive rating. Thank you. The temperature of a material is given by: T = e −2t−x^ 2−y^ 2 The velocity field is given by v = (x^2 − y, −2x,...
Please provide step by step solution and i will give you a positive rating. Thank you. The temperature of a material is given by: T = e −2t−x^ 2−y^ 2 The velocity field is given by v = (x^2 − y, −2x, 2y − z^2 ) Determine the material time derivative of the temperature.
H08.2 (2 points) Given the vector velocity field V(x, y, z, t) = 4t i +...
H08.2 (2 points) Given the vector velocity field V(x, y, z, t) = 4t i + xz j + 2ty3 k a) Is this a valid incompressible flow field? b) Is this flow field irrotational?
Question 4 An object has the velocity vector function v(t) (5, 4e4t, 6t + 2) and...
Question 4 An object has the velocity vector function v(t) (5, 4e4t, 6t + 2) and initial position 7(0) = (5,4, – 4) A) Find the vector equation for the object's position. F(t) B) Find the vector equation for the object's acceleration. alt) > Add Work Submit Question
Please answer without using previously posted answers. Thanks Let F(x, y) be a two-dimensional vector field. Spose further that there exists a scalar function, o, such that Then, F(x,y) is called a g...
Please answer without using previously posted answers.
Thanks
Let F(x, y) be a two-dimensional vector field. Spose further that there exists a scalar function, o, such that Then, F(x,y) is called a gradient field, and φ s called a potential function. Ideal Fluid Flow Let F represent the two-dimensional velocity field of an inviscid fluid that is incompressible, ie. . F-0 (or divergence-free). F can be represented by (1), where ф is called the velocity potential-show that o is harmonic....
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,
Test the divergence theorem for the function as your volume the cube as shown. v = (xy)x + (2yz)y +3x), Take 3. Compute the line integral of v=6x + yz2j) + (3), + z)2 Along the triangular path shown
In a certain region of the atmosphere, the pressure is given as
a function of x, y and z
Consider a fluid moving in this pressure field. The position of
the fluid particle is a function of time and given by
The symbols a, b, H, P and U represent constants.
-Find the wind components u, v, and w ?
-Find the total derivative dp dt according to x, y, z and t. ?
-----
- Find Local acceleration ?...
5. Let F (y”, 2xy + €35, 3yes-). Find the curl V F. Is the vector field F conservative? If so, find a potential function, and use the Fundamental Theorem of Line Integrals (FTLI) to evaluate the vector line integral ScF. dr along any path from (0,0,0) to (1,1,1). 6. Compute the Curl x F = Q. - P, of the vector field F = (x4, xy), and use Green's theorem to evaluate the circulation (flow, work) $ex* dx +...
1.) (8 pts.) Consider the vector field F(t, y, z) = (3cʻz + 3 + yzbi – (22 - 12)ī + (23 – 2yz +2 + xy)k Find a scalar function f, which has a gradient vector equal to F, or determine that this is impossible.
H08.2 (2 points) Given the vector velocity field V(x, y, z, t) = 4t i + xz j + 2ty3 k a) Is this a valid incompressible flow field? b) Is this flow field irrotational?
Question 4 An object has the velocity vector function v(t) (5, 4e4t, 6t + 2) and initial position 7(0) = (5,4, – 4) A) Find the vector equation for the object's position. F(t) B) Find the vector equation for the object's acceleration. alt) > Add Work Submit Question
Please answer without using previously posted answers.
Thanks
Let F(x, y) be a two-dimensional vector field. Spose further that there exists a scalar function, o, such that Then, F(x,y) is called a gradient field, and φ s called a potential function. Ideal Fluid Flow Let F represent the two-dimensional velocity field of an inviscid fluid that is incompressible, ie. . F-0 (or divergence-free). F can be represented by (1), where ф is called the velocity potential-show that o is harmonic....
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