1. Find a parametric equation for the tangent line to the curve with the given parametric equation at the specified point
x=cost.     ,      y=sint.     ,      z=t^2+1      ;      (1,0,1)

 1=cost - t=0 Check for y and z
(1,0,1) occurs at t=0

R’(0) = <-sin(o), cos(0), 2(0)>
R’(0) = <0, 1, 0>
R’(t) = (1, 0, 1) + t<0, 1, 0>

x(t) = 1
y(t) = t
z(t) = 1

2. Find r(t) given r’(t) and r(0).

r(t) = r(0) + antiderivative of r’(t)
(1, 2, 3) + <t^2/2, 2t, t^2/2 + t>

x = 1 + t^2/2
y = 2 + 2t
z = 3 + t^2/2 + t