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adivvec-a-vec-grad-vec-a-bf-x-2-z-2-sinx-y-x-z-x-0-1-1-vec-j-vec-k-cz-x-y-2x-y-calc-pa887
(Solved): adivvec(A)=vec(grad)*vec(A). bf=x^(2)-z^(2)sinx+(y-x)/(z+x)0,1,-1 vec(j)+vec(k). cz(x,y)=2x-y. Calc ...
adivvec(A)=vec(grad)*vec(A).
bf=x^(2)-z^(2)sinx+(y-x)/(z+x)0,1,-1 vec(j)+vec(k).
cz(x,y)=2x-y. Calculate the area of the surface z(x,y)
over the region D in the xy-plane, given by the Cartesian product [0,1]\times [0,1].
aD of radius 2 , centre at point (2,1), and with counter-clockwise
orientation.
io\int_(delD) xdx+2xdy
iio\int_(delD) Ldx+Mdy=?_(D)((delM)/(delx)-(delL)/(dely))dxdy
to represent the integral in (i) as a double integral and calculate this double
integral.
bz between two functions of x and y. Determine the domains of these
two functions and parametrise this domain. Hence find the volume of the ball
using triple integration.