Find the coordinates of the centroid of the solid generated by revolving the region bounded by y x, y=0, and x=9 about the X-axis. The coordinates of the centroid are (Simplify your answer. Type an ordered pair.)

Q: Find a parametrization of the portion of the plane x + y + z = 7 that is contained inside the…

A: According to the given data, find a parametrization of the portion of the plane

Q: y- 1 Find the centroid and moment of interia woth respext to the axes and the centriod

A: From the diagram  R={x,yx2≤y2-1,0≤x≤1} Area of R = ∫01∫x21dydx = ∫011-x2dx = x-x3301 = 23 So, A = 23…

Q: y= x²- 20 y= x a) Determine the coordinates of the centroid of the plane region. b) Determine Ix and…

A: Given : plane region R (say)  We start by finding the points of intersection of the parabola and…

Q: 2.) At an amusement park, rides cost $3. There is also a $5 entrance fee to get in the park. If…

A:

Q: y 2 2 2 4

A:

Q: Let E be the region in the plane between the two ellipses 4x² +9y? = 1 and 4x2 + 9y2 = 4. Evaluate…

A: Given that two ellipse 4x2+9y2=1 and 4x2+9y2=4 Ans given E be the region in the plane between these…

Q: Find the centroid of the polyhedron with four triangular faces in the first octant that is bounded…

A: The region is bounded by the three coordinate planes and the plane x+y+z=1. Thus, the region can be…

Q: Q– Fin the surface area of the portion of the paraboloid z= 6-2x - y that is above the x-y plane…

A:

Q: Calculate the y coordinate of the center of gravity of the shaded area given in the figure.

A: The y coordinate is given by  y¯ = a2+c=62+76=3+76=79