Find the centroid of the given region.
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- question 1(b) Find the volume of the solid generated by revolving the triangular region bounded by the lines y=2x, y=0 and x=1 about the line x=-1The figure below is a plot of the equation of the line y = A/x where A = 7.2. Determine the position of the y-centroid of the area between the curve y = 7.2/x and the x-axis from x = 1 to x = 5 then get the volume of the solid of revolution when the area rotated by the x-axis through 237 degrees.8.3 27)Visually estimate the location of the centroid of the region shown. Then find the exact coordinates of the centroid.
- Find the centroid of the given region. [Give exact answer in fraction form.] y=2-x2, y=xhelp me those question 1. Find the centroid (x¯,y¯) of the region bounded by the two curves y=12√x and y=3x. y=4x^2+9x, y=0, x=0, and x=8. 2.Find the centroid (x¯,y¯) of the region bounded by:y=e^2x, y=0, x=0, and x=3.(a) Find the centroid of the area between the x axis and one arch of y = sin x.(b) Find the volume formed if the area in (a) is rotated about the x axis.(c) Find Ix of a mass of constant density occupying the volume in (b).
- Find the centroid of the region R enclosed between the curves y = √ x, y = 1, y = 2, and the y-axis (Figure 6.7.12).Part 1. Evaluate the triple integral ∭E x dV where E is the solid bounded by the paraboloid x=3y2+3z2 and x=3. Part 2. Evaluate the triple integral∭E xy dV where E is the solid tetrahedon with vertices (0,0,0),(7,0,0),(0,7,0),(0,0,7).Solve the problem with complete solution and draw the figure. Determine the ordinate of the centroid of the area bounded by the curve x2 = 8y and the line 2x – y = 0.