Find the point of intersection of the tangent lines to the curve
r(t) = 5 sin(πt),...
Find the point of intersection of the tangent lines to the curve
r(t) = 5 sin(πt), 2 sin(πt), 6 cos(πt) at the points where t = 0
and t = 0.5. (x, y, z) =
Find a set of parametric equations for the tangent line to the
curve of intersection of the surfaces at the given point. (Enter
your answers as a comma-separated list of equations.)
z = x2 +
y2, z = 16 −
y, (4, −1, 17)
Find a set of parametric equations for the tangent line to the
curve of intersection of the surfaces at the given point. (Enter
your answers as a comma-separated list of equations.) z = sqrt(x2 +
y2) , 9x − 3y + 5z = 40, (3, 4, 5)
Find all horizontal and vertical tangent lines for the
parametric curve defined by x(t) = t^3 - 3t +1, y(t) = 4t^2 +5.
then write our the equations for the tangent lines
FOR THE PARAMETRIZED PATH r(t)=
e^tcos(πt)i+e^tsin(πt)j+e^tk
a) find the velocity vector, the unit
tangent vector and the arc lenght between t=0 and t=1
b) find a point where the path given by r(t)
intersects the plane x-y=0 and determine the angle of intersection
between the tangent vector to the curve and the normal vector to
the plane.