MAT 2322 Lecture 10: oct17

(1 point) The tangent plane to the surface z =-x3 + xy-5xy3 at the point (x, y, z) = (1, 1,-5) contains which of the following lines (a) x = 1-4, y = 1-3, z=_5 + 71t (b) x = 1-3, y-1 + 2t, z =-5-10t (c) x = 1-t, y = 1 + 3t, z=-5-35 (d) x = 1 + t, y = 1-4, z--5 + 481 (e) x = 1+4, y = 1-2, z=-5+8t

Let C be the curve defined by the parametric equations x t and y t3- 6t (see Example 2). Find d'y/dx2. dx Use this result to determine the intervals where C is concave upward. O (o, 0) fort 0 (0, co) for t > 0 O (0, co) for t o 0 (-00, 0) for t 0 0 (0, oo) for t

Calcnals the vale of e (ytan 4) Arom a) t (1.1) In a straigh liues from Co,o to ( then u o) to (I) φ straight lines from (0.0) (Oil) then (o, I to (