Question

Find the centroid of the region that is bounded by the line Y = 3X, the line X = 2 and the X axis.

Answer #1

Find the centroid of the region bounded by the graphs of the
functions y=3x^2, y=x^2+7
The centroid is at (¯x,¯y)(x¯,y¯) where

Find the coordinates of the centroid of the region bounded by
y=12x^2 and y=3x^3. The region is covered by a thin flat plate.

A. For the region bounded by y = 4 − x2 and the x-axis, find
the volume of solid of revolution when the area is revolved
about:
(I) the x-axis,
(ii) the y-axis,
(iii) the line y = 4,
(iv) the line 3x + 2y − 10 = 0.
Use Second Theorem of Pappus.
B. Locate the centroid of the area of the region bounded by y
= 4 − x2 and the x-axis.

Find exact coordinates of the centroid of the region bounded by
the given curves.
y = x + 30 and y = x^2

Find the centroid of the region bounded the following curves.
Show a graph of the region.
1. ? = ? ^? , ? = ? ^−? , ? = 0, and ? = ??2.
2. ? = −? ^2 + 4? − 3 and the y-axis

find the centroid of the lamina of occupying the region bounded
by y=x,y=9

Find the centroid of the region bounded by the curves: y = 8 -
x2 , y = x2

1)Find the centroid of the region
(Sketch the region, set up the integral. Locate the centroid in
the region)(Do not answer centroid in decimals. but use decimals to
locate it in the sketch.) y=(e^x)/2 y=0 x=0 x=2
2) Use the centroid to find the volume (leave the answer in
terms of pi) of the region in question 1) when the region is
revolved around
a)the x-axis
b) the y-axis

Find the centroid of the region bounded by the curve y =
x3 and x = y2
A. (3/25 , 12/7)
B. (3/7 , 12/25)
C. (12/7 , 3/25)
D. (12/25 , 3/7)

find the centroid of the arra bounded by y=lnx, x=2 and the x
axis

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