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Algebra
Question

The mass of the part of a metal rod that lies betw...

The mass of the part of a metal rod that lies between its left end and a point \( x \) meters to the right is \( 3 x ^ { 2 } kg \) . Find the linear density (see Example \( 2 \) ) when \( x \) is (a) \( 1 m \) , (b) \( 2 m \) , and (c) \( 3 m \) . Where is the density the highest? The lowest? 

Answer

(a) \( 6 kg / m \) (b) \( 12 kg / m \) (c) \( 18 kg / m\). At the right end; at the left end. 

Solution
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