1. Consider the new proposed contour for Coke bottles, which follows the function f(x) = vsin(#x/4) + 1.5 centimeters, from 0 to 20 centimeters shown below. To obtain the bottle from this shape, rotate around the x-axis. In this problem we're going to estimate the cost of producing one of these coke bottles using the following steps. 5 10 15 20 -2 -3 (a) Suppose that it costs roughly .1 cents per milliliter of Coke at the plant. Using your volume computation from last time (the volume is 102.25 milliliters), how much will it cost to fill one bottle. (b) Suppose that glass costs . 15 cents per square centimeter of surface area. Write down a formula for the cost of glass to create one of these bottles. Do not evaluate the integral present and do not forget about the base of the bottle. (c) Suppose that the cap costs 2 cents to create and adhere and that your integral in part (a) evaluates to 278.57 square centimeters. Give an estimate for the production of one of these bottles