In each of 9, 10, and 11, (a) write the position vector and tangent vector for the curve whose parametric equations are given, (b) find the length function s(t) for the curve, (c) write the position vector as a function of s, and (d) verify by differentiation that this position vector in terms of s is a unit tangent to the curve.x = sin(t), y = cos(t),z = 45t; 0 t 2

Calculus notes for week of 9/19/16 3.6 Derivatives as Rates of Change Velocity is measured as: V ave(t+∆t) or s(b) – s(a) ∆t b – a (Change in position over change in time.) S’’(t) = V’(t) = A(t) (From left to right: S=Position, V= Velocity, and A=Acceleration) Average and Marginal Cost Suppose C(x) gives the total cost to produce x units of a good cost. Sometimes,...