A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y=1−x2. What are the dimensions of such a rectangle with the greatest possible area? What is the width and height?

He ! a group of farmers planned to clean 80 acres of wheat per day to finish the work on schedule. right before the work started, they received a new piece of machinery that them clean 10 more acres per day than originally planned. as a result of increased productivity in the last day before the deadline they only had to clean 30 acres. how many acres of wheat did the group of farmers have to clean?