Find the mass and the moments of inertia 
and 
and the radii of gyration 
and 
for the lamina occupying the region R, where R is the rectangular region with vertices 
and 
, and having uniform density 
Definitions:
Analytic Intelligence
One component of Sternberg's triarchic theory of intelligence, focusing on the ability to solve problems using analysis, logical reasoning, and critical thinking.
Prima Ballerina
The leading female dancer in a ballet company, often playing the principal roles and showcasing exceptional technique and artistry.
Multiple Intelligences
A theory proposed by Howard Gardner, suggesting that intelligence is not a single general ability but a collection of distinct dimensions.
Bodily-Kinesthetic
Intelligence that manifests as physical skill and coordination, according to Gardner's theory of multiple intelligences.
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