15.1 Differential Forms on Rn 1. (a) dydz-3dzdx+2dxdy. (b) x2dydz+xydzdx+yzdxdy. (c) x2cosxdxdydwdydzdw. 2. (a) (2x+2y) dxdy. (b)
Question:
15.1 Differential Forms on Rn 1.
(a) dydz-3dzdx+2dxdy.
(b) x2dydz+xydzdx+yzdxdy.
(c) x2cosxdxdydwdydzdw.
2.
(a) (2x+2y) dxdy.
(b) y cos(xy) dx dz dw+xcos(xy) dydz dw-w sin(zw) dx dy dzz sin(zw) dxdy dw.
(c) ((x + y)/ Jx2 + y2) dx dydz.
(d) (y sin xeYz - ysinxexy + xcosyexy - cosxexy ) dxdydz.
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