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(Solved): (a) Find the tangent plane to the surface with parametric equations x=u v,y=3u^(2),z=u-v at the poin ...
(a) Find the tangent plane to the surface with parametric equations
x=u v,y=3u^(2),z=u-vat the point
(2,3,0). (b) Evaluate the line integral
\int_C xydx (x-y)dywhere
Cconsists of line segments from
(0,0)to
(2,0)and from
(2,0)to
(3,2). (c) Given that
F(x,y,z)=yzi xzj (xy 2z)kis conservative, find the function
fsuch that
F=gradf. Hence or otherwise, evaluate the line integral
\int_C F*dr, where
Cis the line segment from
(1,0,-2)to
(4,6,3)[8, 8, 9]
