16) Calculate the limits algebraically. Provide an argument justifying the value stated: a) lim(x - vx2 -5x) X->00 3x + 5sin x b) lim x->0 2x - cosx20) Your task is to build a road joining a ranch to a highway that enables the drivers to reach the city in the shortest time. How should this be done if the speed limit is 40mi/h on the road and 65 mi/h on the highway? The perpendicular distance from the ranch to the highway is 20mi, and the city is 30mi down the highway