MAT 2322 Lecture 11: oct20

Find the value of (▽ × F) .ndo 3 cos t, y 2sint, 02T. But you can avoid a line integral altogether Hint:One parametrization of the ellipse at the base of the shell is The value is

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