Given the unit-speed curve α(s) = ( 4 5Cos s, 1 − Sin s, − 3 5Cos s) (|α˙ | = 1) that is parametrized in terms of arclength s. a) Find the unit Tangent vector T , b) Find the Curvature κ, c) Find the Normal vector N, d) Find the Binormal vector B, e) Find the Torsion τ of this curve.

Samson is going shopping for sugar and butter to make three different kinds of cookies: lemon bars, peanut butter cookies, and sugar cookies. the recipe for lemon bars calls for 2 cups of flour, 2 cups of sugar, and 1 stick of butter. the peanut butter cookie recipe calls for 2 cups of flour, 4 cup of sugar and 2 stick of butter. the sugar cookie recipe calls for 1 cup of flour, 2 cups of sugar, and 2 sticks of butter. sampson has 13 cups of flour at home, and he buys 12 cups (6 pounds) of sugar and 10 sticks of butter. how many batches of each type of cookie can he make? samson can make batches of lemon bars, batches of peanut butter cookies, and batches of 09 cookies submit reset