Find the moment of inertia of the region between the parabola y=4-x^2 and the line y=1-2x from x=0 to x=2 with respect to y axis
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Find the moment of inertia of the region between the parabola y=4-x^2 and the line y=1-2x from x=0 to x=2 with respect to y axis
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- integrate the function f(x,y) = x^2 +y^2 over the unit circleA plane area is bounded in the first quadrant by the curves y² = -16 (x-4), the line 8x-15y = 0, and the x- axis. What is the moment of inertia of this area about the line y = -10 ?A plane area is bounded in the first quadrant by the curves y² = -16 (x-4), the line 8x-15y = 0, and the x-axis. What is the moment of inertia of this area about the line y = -10 ?
- Find the centroid of the region cut from the first quadrant by the curve y = 1/sqrt(x + 1) and the line x =3.A thin plate of constant density δ = 1occupies the region enclosed by the curve y = 36/(2x + 3) andthe line x = 3 in the first quadrant. Find the moment of the plateabout the y-axis.Find the area and centroidal distances of the curve that lies between the equations y=4-x^2 and y=x+2
- Find the equation of the plane tangent to the surface of Z = x^2 + y^2 at point P(1, 2, 5).Find an equation of the tangent plane to the surface z=3x^2+3y^2+1x+2y+1at the point with x=5,y=6.z=Find the moment of inertia of the area bounded by the cubic parabola a^2 y = x3, the y –axis and the line y = 8a with respect to y – axis. (A = 12a^2)
- determine the parametric coordinate of the critical point of the curve x=t^2+3t=2 and y=t^2-1.Find the equation of the plane tangent to the surface z = 10 − x^2 − y^2 at the point P0(2,2,2).find the ordinate of the centroid of the region bounded by the parabola y = x^2 and the line y = 2x + 2 in the second quadrant.