Find the streamlines and pathlines of the velocity distribution  V = i x(xi+yj+zk) that is the cross product of i and (xi+yj+zk) U =cosat W=sinat

Q: e z + e Calculate: (AxB). (AXB) A- c the magnitude and dire ction of A.C

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Q: dv -vW, dw vw – kw +

A: On solving LHS and RHS separately: LHS: RHS: Thus LHS and RHS are equal only if I=1/at

Q: -6 a lo *10 c/8) Point isl2scm away from a -2o X 10 s (8 et e ト betwern that The MAJr

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Q: (c) The angle that F2 makes with the positive x axis is found from tan0 = F2u/F2z = 21/32 0.656.…

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Q: At a point on the ground 49.9 feet from the foot of the flagpole, the angle of elevation to the top…

A: In a right angle triangle tanθ =Perpendicular Base

Q: find its magnitude and direction (r,θ)

A: The given vector can be represented as, Here, rx and ry represent the vector’s x-component, and the…

Q: Write down the respective equations for ?w and γw

A: Given: To determine the respective equations for ?w and γw as follows,

Q: Let 11 = 16 3 3 = 4-74-44-64-[2] = 3 If possible, express w as a linear combination of the vectors…

A: We will first write the linear combination with some unknown coefficients. We then solve the…

Q: Evaluate 7 1 5lnx X dx.

A: Take  u = ln(x)  Then   du = dx/x  Integral become.  ∫5udu=5uln5  =5lnxln5

Q: prove that n = VE,

A: given data :-

Q: Gmtsing=AHmixing -TASmiring = 2ZAc{xA-xi}+ RT{x,Inx4+x,Inx,}

A: Given, ∆G¯mixing=∆H¯mixing-T∆S¯mixing∆G¯mixing=2Z∆εxA-xA2+RTxAlnxA+xBlnxB…

Q: The position of a moving particle in vortex is expressed as, x(t) = x0 sin(a√t + bt^2) where x0 is…

A: An equation holds correct if the dimensions of the quantities involved in both sides of the equation…

Q:  Find derivative of functions:

A: Given function is in the following format, y = f(x) / g(x) Derivative of y can be written as…

Q: b. A different robot begins pushing a 10kg box that was already moving at 0.5m/s [Right] along a…

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Q: Use v = (2,-7) and w = (-9, 3) to find the quantity. (Give your answer using component form or…

A: The vector is a physical quantity which has both magnitude and direction. It is generally written in…

Q: Find the divergence of D for the following. 4x y2 2x -

A: Given: The vector field is given as

Q: Find the general solution to the differential equation y" = 2– sin 2r.

A: y'''=2-sin2x

Q: Suppose thatP = (x, y) has polar coordinates(r, θ ). Find the polarcoordinates for the points:  (−x,…

A: Given: The point P is (x,y). The polar coordinates are (r,θ). The coordinates of the point are…

Q: Using the given magnitude and direction in standard position, write the vector in component form.…

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Q: (c) The solution to the equations above leads to A(r, y) = 1/cosh°(y) so that ds? (dr²+dy)/ cosh(y).…

A: The Hamiltonian equation of motion in terms of Lagrangian L can be written as H=∑pq˙-L Where p is…

Q: If ay can be written as ua +va + wa at the point P(2.94, 309.46 degrees, -2.75), find u+v+w. P Ф Z

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Q: Y = (x2 +y²+z?)e¬vx²+y²+z² FİND :

A: Solution:   Given that, ψ=(x2+y2+z2)e-x2+y2+z2   To determine the ∇ψ→ value, we should solve in the…

Q: Can you also solve for D and E?

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Q: Let u = (-7,3,-5) and 7 = (-1, 1, 0). Compute the following: ū x v- vx u u xu -9 (u × v) = u x (-97)…

A: The objective of the question is to compute the cross product of the given vectors in different…

Q: Find the arc length parameter along the given curve from the point where t= 0 by evaluating the…

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Q: Calculate the magnitude of when A=2, the angle between A and B is = 35° and Ax=5.736.

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Q: Step 1 Rewrite the original integral Therefore, Set دارد) + 16 t (12)2 + 42 (2) ot = (- dt as Step 2…

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Q: Make g the subject in Ep=mxgxh

A: Given equation : Ep = m × g × h to make g as subject:

Q: nd the local and globel stabilty for ht de %3D dt m, n and t ace constants

A: Given: dxdt=m-nμe-μt

Q: Determine the value/s of x using complex number conversions and operations. Express answers in…

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Q: J= , (r2 + 2)V () dr. find the value of J. Note that the divergence relation in spherical…

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Q: Question 4A. Application of Faraday's law and Lenz's law given each sub figune you are asked to…

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