please answer below questions with all work shown, thanks. 1. Sketch the graph of????(????) = 2 csc(????) ? 1, for the interval ? 2pi< theta < 2pi. List the domain and range of the function. 2. Engineers use banked highway curves so that cars can safely turn. To determine an appropriate angle to keep the car safe engineers consider the speed of the car v, the radius of the turn r, along with the angle of the bank all in the equation of ???????????????? = ????^2/????????. A new ramp is designed to have a radius of 200m.If the speed limit on the curve is to be 50km/hr at what angle should the curve banked be if g is the acceleration due to gravity and its value is 9.8 ????/????2? 3. Find the remainder and the quotient from the division of ????(????) = {6????^5+4????^4+????^3 }/ (????^3?2)4. simplify log7 0.2+log7 5