MAC 2283 Study Guide - Final Guide: Joule, Cartesian Coordinate System, Cross Product
Document Summary
For the parametric curve x = cos t, y = cos 2t, 0 < t < write equivalent. Write equation of the tangent line to the curve at the point (0, 1). We have y = cos2t sin2 t = 2 cos2 t 1 = 2x2 1. Next x = cos t runs from 1 to 1 as t runs from 0 to . Thus, the curve is part of parabole y = 2x2 1 from the pont p0(1, 0) correspondint to t = 0 to the point. Tangent at the pont p (0, 1) is horisontal since y (0) = 0; its equation y = 1. Write parametric equations of the segment connecting points p (2, 1, 0) and. Q( 1, 1, 2) and nd coordinates of its midpoint. Parametric equations and midpoint m are x = 2 3t, y = 1 + 2t, z = 2t;
