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(Solved): Evaluate the double integral over the given region (a) \int_0^(ln2) \int_1^(ln5) e^(2x+y)dydx (b) \i ...
Evaluate the double integral over the given region
(a) \int_0^(ln2) \int_1^(ln5) e^(2x+y)dydx
(b) \int_0^2 \int_0^1 xye^(xy^(2))dydx
Find the volume of the solid bounded on the front and back by the planes x=+-(\pi )/(3), on the sides by
the cylinders y=+-secx, above by the cylinder z=1+y^(2), and below by the xy-plane
Integrate f(x,y)=24-x^(2) over the smaller sector cut from the disk x^(2)+y^(2)=4 by the rays \theta =(\pi )/(6)
and \theta =(\pi )/(2)
Let u=(\lambda ,1,1),v=(1,\lambda ,1),w=(1,1,\lambda ), For which values of \lambda will u,v,w make a linearly indepen-
dent set?
Let V=R^(2). Which of the following are subspaces of V over R ?
(a) W={((x)/(y))inR^(2)|y=2x};
(b) W={((x)/(y))inR^(2)|x,y>=0}