At what point on the paraboloid y=x^2+z^2 is the tangent plane parallel to the plane x+2y+3z=1 ?
Tangent plane equation is...
Fx(X,Y,Z,)(x-X)+Fy(X,Y,Z)(y-Y)+Fz(X,Y,Z)(z-Z)=0; for x^2+z^2-y=0
My attempt at the problem...
First I found the unit normal for the plane I'm trying to...
Question:
reparametrize the curve r(t)=<cos(t)-tcos(t), sin(t)-tsin(t)> : t=0
I know I need to integrate the mag from zero to t but it's not working.
got down to the integral of sqrt((t^2)-2t+1) and after a u-sub and a theta sub I got the integral of sec(theta). Then got natural...