Science:Math Exam Resources/Courses/MATH100/December 2012/Question 07/Statement

Full-Solution Problems. In questions 5-11, justify your answers and show all your work. If a box is provided, write your final answer there. Unless otherwise indicated, simplification of numerical answers is required in these questions.

Find the coordinates of the point P, which lies on the curve $y={\sqrt {1-x^{2}}}$, in the diagram below for which the area of the right triangle ABP is the maximum. Remember to justify that your answer actually gives the maximum area.