1
answer
0
watching
175
views
10 Nov 2019
(1pt)
Consider theparaboloid z=x2+y2.The plane 7x?8y+z?10=0cuts theparaboloid, its intersection being a curve.
Find "thenatural" parametrization of this curve.
Hint:The curve whichis cut lies above a circle in the xy-plane which you shouldparametrize as a function of the variable t so that the circle istraversed counterclockwise exactly once as t goes from 0 to 2*pi,and the paramterization starts at the point on the circle withlargest x coordinate. Using that as your starting point, give theparametrization of the curve on the surface.
c(t)=(x(t),y(t),z(t)),where
x(t)=
y(t)=
z(t)=
(1pt)
Consider theparaboloid z=x2+y2.The plane 7x?8y+z?10=0cuts theparaboloid, its intersection being a curve.
Find "thenatural" parametrization of this curve.
Hint:The curve whichis cut lies above a circle in the xy-plane which you shouldparametrize as a function of the variable t so that the circle istraversed counterclockwise exactly once as t goes from 0 to 2*pi,and the paramterization starts at the point on the circle withlargest x coordinate. Using that as your starting point, give theparametrization of the curve on the surface.
c(t)=(x(t),y(t),z(t)),where
x(t)=
y(t)=
z(t)=
Deanna HettingerLv2
22 Aug 2019
