## Question

###### The velocity ulx; along wall in horizontal ( x )-direction of an incompressible fluid is given by (with (xy) >0u(r,y)-U -{2x-7) mts] We take U = 2 |m / sJ for the characteristic velocity U_(2a) Determine the function of the contour line for the velocity " = 0(2b) Determine the gradient of in (he point (4,1,2)(2c) What is the Interpretation of the direction of the gradient?(2d) Give the (angent plane for u In Ihe point (4,1,2) and simplify as (ar as possible

The velocity ulx; along wall in horizontal ( x )-direction of an incompressible fluid is given by (with (xy) >0 u(r,y)-U - {2x-7) mts] We take U = 2 |m / sJ for the characteristic velocity U_ (2a) Determine the function of the contour line for the velocity " = 0 (2b) Determine the gradient of in (he point (4,1,2) (2c) What is the Interpretation of the direction of the gradient? (2d) Give the (angent plane for u In Ihe point (4,1,2) and simplify as (ar as possible

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