Centroid of parabola y=x^2 278572-Centroid of parabola y=x^2
(x0) 2 (yp) 2 = (yp) 2 (xx) 2 x 2 (yp) 2 = (yp) 2 If we expand all the terms and simplify, we obtain x 2 = 4py Although we implied that p was positive in deriving the formula, things work exactly the same if p were negative That is if the focus lies on the negative y axis and the directrix lies above the x axis the equation of theFind the area of the region bounded by the parabola y^2= 16x and its latus rectum Calculus Centers of Mass Find the centroid of the region in the first quadrant bounded by the xaxis, the parabola y^2 = 2x, and the line x y = 4 I've graphed the function, and it looks like a triangle with one side curved (the parabola)Answer and Explanation 1 y(x) = 4−x2 {Parabola with center at (0,4) This parabola opens downwards} y = x2 {Positive slope line} 4−x2 = x2 Interception points between functions x2x−2 Solved Determine The Centroids For The Parabolic Spandrel Shown In Fig 1 Answer Transtutors Centroid of parabola y=x^2
