2a. The two space curves
and
r1(t) = <?1 + 5t, 3 − t^2, 2 + t − t^3> and? r2(s)=<
?3s−2s^2,s+s^3 +s^4,s−s^2 +2s^3>?
both pass through the point P(1,3,2). Find the values of t and s
at which the curves pass through this point.
2b. Find the tangent vectors to each curve at the point P (1, 3,
2).
2c. Suppose S is a surface which contains the point P (1, 3, 2),
and both r1(t) and r2(s) lie...