1. A particle is moving on an x-y plane with position given by (sint, sin2t) (6pts each) a) Find the velocity trajectory of the particle at t = . b) Find the acceleration trajectory of the particle when t = it. c) Find the speed of the particle when t = n. d) Find the equation of the tangent line to the trajectory when t = n. 2. (8 points) The rate of change of the average annual fuel consumption of passenger vehicles, busses, and trucks, from 1970 to 2000 can be modeled by the equation g() = 0.8/ - 15.9 gallons per vehicle per year, where / is the number of years since 1970. Find the change in the average annual fuel consumption between 1970 and 1980. Show all work and give units