Question

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

Answer #1

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

Find the area of the region bounded by the graphs of the given
equations.
y=2x^2-9x+13, y=x^2+3x-7

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.

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

1 a) Find the centroid of the region bounded by the graphs of
the given equations.
y=x^2/3, y=0, x=64.
b)You deposit $1000 in bank to earn interest modeled by dp/dt =
0.05 p . How much will you get after 10 years if it compounded
continuously?
c) The battery of cell phone has an average lifetime of 2000
hours. It is reasonable to the probability modeling with
exponential density function. Use this model to find the
probability that a battery...

Sketch the region bounded by the graphs of the given equations.
y = 2^x, y = 2^-x, y = 0, x = −2, and x = 2 . Find the area of that
region.
EXACT ANSWER ONLY. A DECIMAL ANSWER WILL BE COUNTED INCORRECT.

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

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.

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