3. (10 points} The New River Gorge Bridge is 830 feet above the water below. A bottle rocket is launched upward off the bridge and its height (measured in feet) is described by the function 56) = 161'2 + 96t+ 830 where tis measured in seconds. (a) Find mctions that describe the velocity and acceleration of the bottle rocket. (b) When does the bottle rocket reach its maximum height? Include units in your answer. (c) What is the maximum height of the bottle rocket? Include units in your answer. {d} When does the bottle rocket reach the bottom of the gorge? Include units in your answer. (Hint: dividing by I6 wiii make the computation easier). 1. (lpoints) Find the equation of the tangent line to the curve y =x'xJ' x2 + 5 at the paint (2,6). 2. (10 points} Find the given higher order derivatives. {3) Let x) =cns(3x2}. Find f\"'{x). \"53} (b) Let g(x) = e71\" . Find 3* {x}