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What is the area bounded by the parabola x^2 = 4ay, its latus rectum and the y-axis?The ratio of interior angles of a triangle is 1:3:5. The shortest side is 10m. Find the perimeter of the triangleThe solution of the differential equation condition y = 1 when t = 0, isFind the area bounded by the curve (y curve) 3x + 3 = 0 and then x = 4.Find the standard deviation of the sample of observations 2, 5, 7, 9, 12.\fThe centroid of the triangle having vertices at A(3, 12), B(7, y) and C(-1, 0) is at (3, 4). The orthocenter of the triangle is at (x, 2). Find the value of x if the line x + 4y - 10 = 0 passes through the orthocenter.Find the centroid of the volume generated by revolving about the y-axis the area bounded by the curve y^2 = 4ax in the first quadrant and the line x = a.1f thrice the number exceeds the larger by 12. Find the larger number if two numbers are consecutive odd integer. L a 2 _ Consider the fourier series of period 10 representing f(x}= 3x - 2x ,-5 s x s 5, f[x+10) = fix) . Which statement below Is true