The Largest Inscribed Trapezoid
Difficulty: Medium · Topics: Calculus, Derivatives, Optimisation
Ichki chizilgan eng katta trapetsiya
A trapezoid has two vertices at (-1,0) and (1,0) and is inscribed in the region bounded by the curve y=1-x^2 and the x-axis, with its upper side parallel to the x-axis. Find the maximum area of the trapezoid.
Trapetsiyaning ikki uchi (-1,0) va (1,0) da, u y=1-x^2 egri chiziq va x o‘qi bilan chegaralangan sohaga ichki chizilgan, yuqori tomoni esa x o‘qiga parallel. Trapetsiyaning eng katta yuzasini toping.