Centroid of a polygon (centroid of a trapezoid, centroid of a rectangle, and others) To calculate a polygon's centroid, G(Cx, Cy), which is defined by its n vertices (x0,y), (x1,y1), ..., (xn-1,yn-1), all you need to do is to use these following three formulas: Cx=16A...
Evaluate \int \int_R e ^ { ( y - x ) ( y + x ) } d A where R is the region in the xy-plane bounded by the trapezoid with vertices (0, 1), (0, 2), (2, 0), and (1, 0). Find the value of the triple integrals \int \int \int_D \; xy \: dV...
Prove that two points that are the midpoints of the diagonals of a trapezoid are also on the mid-segment of the trapezoid.The ___ of a triangle is located 2/3 of the distance from each vertex to the midpoint of the opposite side. (centroid or orthocenter)...
Compute the double integral of f(x,y) = 40x^3y over the trapezoid with vertices at (0,0), (2,2), (4,0) and (4,2) Compute the double integral of f(x,y) = 12x^2y over the trapezoid with vertices at (0,0), (2,2), (4,2) and (4,0) Com...
Five-dimension representation for trapezoid fuzzy numbers is put forward,the definition ofsimilar centroidis proposed,ranking trapezoid fuzzy numbers withsimilar centroidmethod is introduced and detail rangking method is reasenable. 文章在提出梯形模糊数的5维表示及其类质心定义的基础上,引入用类质心对梯形模...