1103068304 Level: BFind the volume of the solid obtained by the rotation of the yellow area about the x-axis (see the picture).56π76ππ⋅ln63536π
1103068303 Level: BWhich of the following formulas will not give the volume of the solid created by the rotation of the red area about the x-axis (see the picture)?π⋅∫π43π4sinxdxπ⋅∫π43π4sin2xdx2π⋅∫π23π4sin2xdxπ⋅∫9π411π4sin2xdx
1103068302 Level: BWhich of these formulas can be used to find the volume of the cylinder in the picture? Points [0;0;0] and [4;0;0] are located in the centers of the cylinder bases.π⋅∫0432dxπ⋅∫0342dxπ⋅∫043dxπ⋅∫−449dx
1103068301 Level: BWhich of these formulas can be used to find the volume of the cone in the picture?π⋅∫04(−14x+1)2dxπ⋅∫01(−4x+4)2dx2π⋅∫04(−14x+1)2dx2π⋅∫01(−4x+4)2dx
1103067902 Level: AFind the area of the region bounded by the curves y=x3−5x2+3x+5, x=0, x=1, y=−x+5 as indicated in the picture.71241124712512
1103068102 Level: AFind the area of the yellow triangle ABC indicated in the picture. Read all the needed values from the picture.10119.510.5
1103068101 Level: AFind the area of the yellow region that is bounded by the parabola and the line as is indicated in the picture. Read all the needed values from the picture.4.522.53.7510.25