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Need help with some multivariable calc problems! Thanks!
(1) Find an equation of the tangent plane to the parametric surface x=2u+5v,y=3u^2,z=6uâ2v at the point (29,12,2).
(2) Find an equation of the tangent plane to the parametric surface r(s,t)=2scos(t)i+2ssin(t)j+3tk at when s=1 and t=3Ï/4
(3) Find the area of the part of the surface z=4xy that lies within the cylinder x2+y2â¤9
(4) Find the area of the part of the paraboloid x=y^2+z^2 that lies inside the cylinder y^2+z^2=4.
(5) Find the area of the surface with parametric equations:
Consider the surface with parametric equations r(s,t)=â©st,s+t,sâtâª
A) Find the equation of the tangent plane at (2,3,1)