A farmer plans to fence in a rectangular pasture adjacent to a river (see figure below). The pasture will use 1000 meters of fencing. No fencing is need along the river. Follow the steps below to find the length x and width y of the rectangular pasture that will enclose the greatest area. River Pasture X Part 1: V Part 2: The objective is to maximize the rectangular area enclosed. If we represent the amount of fencing using the variable A, write a formula to compute A using a and y. This is called the primary equation. A ( 1160 - 212) square meters (Primary)A rectangular storage container with an open top is to have a volume of 18 cubic meters. The length of its base is twice the width. Material for the base costs 15 dollars per square meter. Material for the sides costs 6 dollars per square meter. Find the cost of materials for the cheapest such container. Total cost 2| 3363 lRound to the nearest penny and include monetary units. For example if your answer is 1.095. enter $1 10 including the dollar sign and second decimal place.) Research shows that the radioactive isotope Hydrogen-3 has a half-life of 12.32 years Use the following to construct a function that will model the amount of Hydrogen-3 remaining after it years, from an initial amount of to kg. Q[t] = P9" Where Qit] describes the amount of Hydrogen-3 remaining after t years from an initial quantity,r of P Kg. 1. so} = El 2. How long {in years] will it take for the amount of Hydrogen-3 remaining to reach 2 kg? Round to three decimal places. i l A person walking along a straight path has her velocity in miles per hour at time t given by the function v(t) = 0.25ts - 1.5t + 3t + 0.25, for times in the interval 0