F(u,v)=(uv)e, +(2uv)e, a) Is conservative?

Q: When body is an equilibrium ,the net force is vanish

A: We have to check whether the given statement, "When body is an equilibrium, the net force is vanish"…

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A: In this question, we have to prove z is in real R.  here we use the property of the hyperbolic…

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A:

Q: f (u, v) = (u? + v?) is not homogeneous O homogeneous 3rd degree O homogeneous 2nd degree O…

A: The solution is given as

Q: Evaluate the line integral x'z ds, where C is the line segment from (0, 5, 2) to (4, 6, 5).

A:

Q: 2)Evaluate || dA ,Ris bounded by y = x2 ,y = 1 et2 R. 3)Evaluate | Vy2 + 1dA, Ris bounded by x = 4-…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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A: Find the distribution function of u and then pdf

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Q: UNIVERSIT b) Given z = f (x – y, 2x – 2y, 3x – 3y). Show that - dz dz + = 0. dy

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Q: Determine la derivada direccional de f (x, y) = y In z en el punto P (1, 4) en la dirección de v = i…

A: Topic:- calculus

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A: Given equation is

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Q: bounded by Y=x3, V=1x i rotare about X=1

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Q: find a potential function for F or determine that F is not conservative. F=(z,x,y)

A: F is conservative when curl F = 0 Given that f=(z, x, y)=zi+xj+yk

Q: nto v. t of u orthogonal to v.

A:

Q: What would be the resultant force F of the triangular distributed load and its location 'd' measured…

A: Given,

Q: f(r, y, z) = byz In(4ry) %3D fz = fy = た=

A: Given:

Q: Integrate G(x, y, z) = z2, over the hemisphere x2 + y2 + z2 = a2, z>=0.

A:

Q: Line WY bisects Line UV at Y. If UY = 2x + 1 and YV = x +7, find UV.

A: Meaning of biscsts is dividing into 2 parts .

Q: b) Use chain rule 1 - arctan u, where u = e* y =

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Q: If f(x, y, z) = In(x7 + y +2)+V + y + z), then find fr, fy and fz at (1, 1, 1). %3D

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Q: When body is an equilibrium ,the net force is vanish ulgn O İhi O

A: when body is an equilibrium the net force is vanish

Q: af Calculate at point (-1,2) where f (x, y) = 8+ x² + 3y? dv and v = i+j. 10 2 5/2 V2

A: fx, y=8+x2+3y2  &  v=i+j Partially differentiating with respect to x, we get fxx, y=0+2x+0=2x…

Q: Find the symmetric equations for the normal line LN to the surface S:f (x,y) = 5VT +y? at the point…

A: Given function is S:fx,y=5x2+y2. We have to find the symmetric equation for the normal line LN to…

Q: If y and z are functions of u and v, then the Jacobian of the function transforming (x, Y, z) → (x,…

A:

Q: find fsub(x), fsub(y), and fsub(z): f(x,y,z)=e^yz+sinx)

A: Given,          fx,y,z=eyz+sinx

Q: azu azu (a) Verify that u satisfies ax2 = = 0 , if u = e* sin y. ay?

A: NOTE:Kindly repost the other question as a separate question.

Q: f(x, y, z) = xe z2, piecewise linear path from (0, 0, 1) to (0, 2, 0) to (1, 1, 1)

A: To Determine: calculate ∫cxez2dx Given: we have piecewise linear path from (0, 0, 1) to (0, 2, 0) to…

Q: Find up +Uy given that u (x,Y)s. (x,x)s

A: Given that ux, y=tanx3+mx2y2+my4m-x2-y2 To find ux+uy we follow the following steps calculate…

Q: Find aw in terms u and v if du w= In(x2+y2 +z²), x = ue" sin u, y = ue' cos u, z = ue"; (u, v) =…

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Q: find the distance d(u, v) between u and v in the given exercise.

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Q: f(~iy)= ve 1, fund warginal olistribution for 2. Fud conditimal pdf tos, s) o. Estmato (osyei / xo)…

A:

Q: Use Chain Rule to find ds given w = Vr² – 2y + z² and r = cos (st), y = -2s Int and z = s –

A:

Q: Uzz + Uyy = u %3D tt u(г, у, 0) — 0 и (х, у, t) — 2? -у?

A: In this question, we have find the velocity of the membrane at given time and point.

Q: u:(x, t) = и (т, Urz(T, t) u,(0, t) = uz(1, t) = 0 u(x,0) = f(x)

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Q: Let f(x, y) = xcosy-y e*y. fry at (1,0)is equal to:

A:

Q: d) Find for w = xy + yz + xz , x = u + v , y = u – v , z = uv dv %3D at the point (u, v) = (-2,3).…

A: Given, The  functions  W=xy + yz + xzx=u+v,y=u-v,z=uv and the point is (u, v) = (-2, 3).

Q: Evaluate the line integral ∫Cx^3z ds, where C is the line segment from (0,3,8) to (8,4,6).

A:

Q: F(x, y, z) = xyzi+ (2ry+2) j+y°z°k conservative?

A:

Q: find the local extrema with (binding) g = 0.

A: To determine the extrema of the function f(x, y, z) subjected to the constraints g(x,y,z)=0 Write…

Q: Evaluate f(x, y, z) ds. Js f(x, y, z) = x2 + y2 + z2 S: x + y = 36, 0 SxS 6, OszS X %3D !3!

A: To evaluate:

Q: 2)Evaluate er dA , Ris bounded by y = x2,y 1 3)Evaluate I| Vy2 + 1dA , Ris bounded by x = 4 - y? ,x…

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Q: The gradient vector of g(x, y) = at (√√2,-1) is Vg(√2, -1) is equal to Select one: O True O False -

A: Given: The gradient vector of g(x,y)=x22-y22 at (2,1) is ∇g(2,1) is equal to <2,1>

Q: Determine where the resultant force acts measured from point O.

A:

Q: Find fr and fy- f(x, y) = ets dt %3D f (x, y) = %3D fy(r, y) =

A:

Q: Find the work done by the force F(x, y, z) = (x, —z, 2y) in moving straight from (0,0,0) to (1,1,0),…

A: