Determine if the scalar vector field is Lipschitz Continous on the indicated domain. f(t,x) = SiN (Ex), _√2 = R, I= R X
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- A net is dipped in a river. Determine the flow rate of water across the net if the velocity vector field for the river is given by v=(x-y,z+y+7,z2) and the net is decribed by the equation y=1-x2-z2, y20, and oriented in the positive y- direction. (Use symbolic notation and fractions where needed.)Suppose that r1(t) and r2(t) are vector-valued functions in 2-space. Explain why solving the equation r1(t)=r2(t) may not produce all the points where the graphs of these functions intersect. Please Provide Unique Answer. Thank you!Match the vector fields: ? curl(F)=0 ? curl(F)=2 V 2. div(F)=0, ? curl(F)=0 ? V 3. div(F)=-1, 1. div(F)=4, ? curl(F)=1 V 4. div(F)=-2, V 5. div(F)=-2, curl(F)=-1 ? curl(F)=3 6. div(F)=2, A D B E C F
