The area of triangles enclosed by the axis and the tangent to is always constant, no matter what you pick. Find the value of this area.
Above is the graph of the equation Let the area of the cute little pillowed diamond in the middle be . What is the value of ?
Find the area bounded by the curve and its inverse function between the values and .
A square has vertices at
Let be the region of all points inside the square which are nearer to the origin than to any edge. What is the area of ?
is constructed such that , , and . Point is chosen inside , and points and are drawn such that they form line segments with that are perpendicular to sides and , respectively. If is the locus of all points such that , then find the value of
means the area of the locus , and means the area of . is the floor function.