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- Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a orthocenter? b centroid?Find the points on the cone z2 = x2 + y2 that are closest to the point (2, 2, 0). (x, y, z) = (smaller z-value) (x, y, z) = (larger z-value)Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0). smaller z-value (x, y, z)= larger z-value (x, y, z)=
- Find the minimum distance from the cone z = 2x2 + y2 to the point (-6, 4, 0).The diagram shows a small block B, of mass 0.2kg, and a particle P, of mass 0.5kg, which are attached to the ends of a light inextensible string. The string is taut and passes over a small smooth pulley fixed at the intersection of a horizontal surface and an inclined plane.The block can move on the horizontal surface, which is rough. The particle can move on the inclined plane, which is smooth and which makes an angle of θ with the horizontal where tanθ = 3/4The system is released from rest. In the first 0.4 seconds of the motion P moves 0.3m downthe plane and B does not reach the pulley.(a) Find the tension in the string during the first 0.4 seconds of the motion.(b) Calculate the coefficient of friction between B and the horizontal surface.Find the coordinates of the point (x, y, z) on the plane z = 3 x + 3 y + 3 which is closest to the origin. x=-----y=------z=-----
- An angle with its vertex at the origin of an xy-coordinate plane and with initial side on the positive x-axis is in position_________How would I go about solving ∭xzdV, where E is bounded by the planes z = 0, z=y, and the cylinder x2 + y2 = 1 in the half-space y ≥ 0 ? Thanks for you help. :)Find the lateral (side) surface area of the cone generated by revolving the line segment y = x/2, 0 … x … 4, about the x-axis.