query: Find the rectangle with the maximum area inside the ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$
positive_passages.docid: 55491
positive_passages.text: Find the area of largest rectangle that can be inscribed in an ellipse
negative_passages.docid: 103190
negative_passages.text: Algorithm to get the maximum size of n squares that fit into a rectangle with a given width and height
negative_passages.docid: 41550
negative_passages.text: Find the Area of the ellipse
negative_passages.docid: 25053
negative_passages.text: How do I find the area of this region?
negative_passages.docid: 88580
negative_passages.text: Finding the maximum value of $\int_0^1 f^3(x)dx$
negative_passages.docid: 146266
negative_passages.text: Find the maximum value of the expression ${\frac {x}{1+x^2}} + {\frac {y}{1+y^2}}+{\frac {z}{1+z^2}}$.
negative_passages.docid: 111603
negative_passages.text: Derive the centroid of an area from a limiting procedure
negative_passages.docid: 34888
negative_passages.text: An MCQ for finding the extremal of the functional $J = \int_{a}^{b} F(x, y, y^{'})$
negative_passages.docid: 5
negative_passages.text: Prove area of a quadrilateral is $\frac14[4m^2n^2-(b^2+d^2-a^2-c^2)^2]^{\frac12}$
negative_passages.docid: 62135
negative_passages.text: Area under the graph of a convex function
negative_passages.docid: 134823
negative_passages.text: How to find the area of any irregular shape?
negative_passages.docid: 28582
negative_passages.text: How to find points of tangency on an ellipse?
negative_passages.docid: 2870
negative_passages.text: what is the area of the region [ (x,y):0<x , y<1 , 3/4<x+y<3/2 ]?
negative_passages.docid: 130639
negative_passages.text: Find the maximum area possible of equilateral triangle that inside the given square
negative_passages.docid: 121362
negative_passages.text: If $A,B>0$ and $A+B = \frac{\pi}{3},$ Then find Maximum value of $\tan A\cdot \tan B$.
negative_passages.docid: 75657
negative_passages.text: Maximizing/Minimizing triangle area
negative_passages.docid: 151000
negative_passages.text: Area of a weird ellipse shape.