In the following exercises, consider a lamina occupying the region R and having the density function p given in the preceding group of exercises. Use a computer algebra system (CAS) to answer the following questions. a. Find the moments M and M. about the x-axis and y -ax is, respectively. b. Calculate and plot the center of mass of the lamina. C. [T] Use a CAS to locate the center of mass on the graph of R. 320. [T] R is the region bounded by y = 1 x , y = 2 x , y = 1 and y = 2 ; ρ ( x , y ) = 4 ( x + y ) .
In the following exercises, consider a lamina occupying the region R and having the density function p given in the preceding group of exercises. Use a computer algebra system (CAS) to answer the following questions. a. Find the moments M and M. about the x-axis and y -ax is, respectively. b. Calculate and plot the center of mass of the lamina. C. [T] Use a CAS to locate the center of mass on the graph of R. 320. [T] R is the region bounded by y = 1 x , y = 2 x , y = 1 and y = 2 ; ρ ( x , y ) = 4 ( x + y ) .
In the following exercises, consider a lamina occupying the region R and having the density function p given in the preceding group of exercises. Use a computer algebra system (CAS) to answer the following questions.
a. Find the moments M and M. about the x-axis and y-ax is, respectively.
b. Calculate and plot the center of mass of the lamina.
C. [T] Use a CAS to locate the center of mass on the graph of R.
320. [T] R is the region bounded by
y
=
1
x
,
y
=
2
x
,
y
=
1
and
y
=
2
;
ρ
(
x
,
y
)
=
4
(
x
+
y
)
.
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