Consider the vector field: F = (ex, In(xy), e xyz) (i) Find div(F) (ii) Find curl(F) (iii) Find div(curl(F))
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- F = (x² - y)i + + (4z)j + (x²)k Find the curl (curl calculation) of the vector field?Plot the vector field F = (y,sinx) using the viewing window (-2pi,2pi)x(-2pi,2pi).The figure shows the vector field F (x,y) = {2xy,x2 } and three curves that start at (1,2) and end at (3,2). (a) Explain why∫c F. dr has the same value for all the three curves. (b) What is this common value?