Assignment on Importance of the Pendulum in Science

Added on - 28 May 2020

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Running head: ASSIGNMENT 51Assignment 5NameInstitution
ASSIGNMENT 52Assignment 5Question 1Part aCFrF=y^i+x^j+xyz^kr=x^i+y^j+z^kdr=dx^i+dy^j+dz^kF.dr=ydx+xdy+xyzdzButC=x2y2=1,z=0,dz=0F.dr=ydx+xdy+xyzdz=ydx+xdy(sincez=0)CFr=C(ydx+xdy)=C0dxdy=0¿0(sincex,ytakesamepointsforthestartingendpoints)Part bS×FnSz=2x2+y2,=x2+y2zThe vector that is normal to the surface,=x^i+y^j+z^k=2x^i+2y^j^k
ASSIGNMENT 53~nds=¿.^k¿dxdy¿¿2x^i+2y^j^k|1|dxdy¿2x^i+2y^j^k1dxdy×F=[^i^j^kxyzyxxyz]=^i(xz0)^j(yz0)+^k(11)¿xz^iyz^jOn the surface,x2+y21,z=0×F=xz^iyz^j=0^i0^j=0S×FnS=S0nds=0Question 2I=SzezdsThe equation of the unit sphere isx2+y2+z2=1,z2=1x2y22zdzdx=2xdzdx=xz2zdzdy=2ydzdy=yz
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