Unit 2 Assignment: Derivatives /19 I. [4 points) Determine the equation of the tangent line to the polynomial f[x) = 3x3 + 23:2 )t + 5 at the point [3. 55}. 2. One of Ramsay Bolton's archers res an arrow into the air towards Ion Snow. its height in metres, after t seconds is given by h{t] = 4.9t2 + 27.5t + 1.25 [a] [2 points] Determine the speed of the arrow after 2 seconds. (11) [2 points] How long is the arrow in the air when it hits the ground? [c] [2 points] How fast was the arrow moving when it hit the ground? 3. [-1- points) Determine the equation of the tangent at x = 3 for HI} : -L x" _ 1. 4. Cersei drains Wildre {a flammable liquid] out from under the Red Keep fora nefan'ous deed. The volume of the holding tank can be modelled by the fu nction: a Vtt) 3000(1 ) [a] [2 points] How mam.r litres are in the tank alter 2 hours? (b) [3 points] How fast is the Wildre draining from the tank after 5 hours