Merry-Go-Round.? One December identical twins Jena and Jackie are playing on a large merry-go-round (a disk mounted parallel to the ground, on a vertical axle through its center) in their school playground in northern Minnesota. Each twin has mass 30.0 kg. The icy coaling on the merry-go-round surface makes it frictionless. The merry-go-round revolves at a constant rate as the twins ride on it. Jena, sitting 1.80 m from the center of the merry-go-round, must hold on to one of the metal posts attached to the merry-go-round with a horizontal force of 60.0 N to keep from sliding off. Jackie is sitting at the edge, 3.60 m f rom the center. (a) With what horizontal force must Jackie hold on to keep horn falling off? (b) If Jackie falls off, what will be her horizontal velocity when she becomes airborne?

Math 1225 x2.3 Limit Laws Lect 1 Rules to ▯gure out limits of functions Theorem: Basic Limit Rules ▯ Basic limits: Let k be a and a be Then lim k = lim x = x!a x!a ▯ Properties: Assume that lim f(x) = and lim g(x) = x!a x!a And that c is a .Then 1. x!a[f(x) + g(x)] = 2. lim[cf(x)] = x!a Note: x!a [f(x) ▯ g(x)] = 3. lim [f(x)g(x)] = x!a f(x) 4. x!a g(x) = whenever M ▯ What kind of limits can we compute using the above ▯ 2 ▯ Example 1: lim ▯5x + 1 = x!4