MATH 2ZZ3 Lecture Notes - Lecture 4: Scilab, Directional Derivative, Unit Vector

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Math objects made using mathtype; figures taken from advanced engineering math 4th edition (zill); graphs made with winplot. Announcements: test will be july 17th for sure, no formula sheet will be given on the test, as much as french hates our textbook, still use it. Recall: t cosh cosh e t sinh t t e t. 2 e t cosh t sinh t d t d d sinh t cosh t r sinh. 2 sinh t t t v a r r cosh. 2 sinh cosh t t cosh t t. Find the equation of the osculating plane, r t. We need a point and a normal vector. T, n span the osculating plane. t n is to osculating plane. B will suffice as a normal vector. t t r r t. Take an arbitrary point on the osculating plane, ( x y z . x.