A rectangle is bounded by the x-axis and the semicircle y = sqrt(49 - x2). What length and width should the rectangle have so that its area is a maximum?

Aschool allots ? 1500 to spend on a trip to the theatre. theatre tickets have a regular cost of ? 55 each and are on offer for 1 5 off. a train ticket for the day will cost ? 12 each. if 2 teachers and the maximum number of students attend, how much money will the school have left over?