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 v-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. 312. [T] R is the rectangular region with vertices (0, 1), (0, 3), (3. 3), and (3. 1); ρ ( x , y ) = x 2 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 v-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. 312. [T] R is the rectangular region with vertices (0, 1), (0, 3), (3. 3), and (3. 1); ρ ( x , y ) = x 2 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 v-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.
312. [T] R is the rectangular region with vertices (0, 1), (0, 3), (3. 3), and (3. 1);
ρ
(
x
,
y
)
=
x
2
y
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