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A biologist has found that the number of branches on a certain rare tree in its first few years of life can be modeled by the polynomial b(y)=4y^2+y. The number of leaves on each branch can be modeled by the polynomial l(y)=2y^3+3y^2+y, where y is the number of years after the tree reaches a height of 6 feet. Write a polynomial describing the total number of leaves on the tree.

 Nov 19, 2014

Best Answer 

 #1
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If the number of branches is  4y² + y  and the number of leaves on each branch is  2y³+ 3y² + y,

then the total number of leaves is  4(2y³+ 3y² + y)² + (2y³+ 3y² + y).

As a composite function, it is b(l(y)).

 Nov 20, 2014
 #1
avatar+23252 
+5
Best Answer

If the number of branches is  4y² + y  and the number of leaves on each branch is  2y³+ 3y² + y,

then the total number of leaves is  4(2y³+ 3y² + y)² + (2y³+ 3y² + y).

As a composite function, it is b(l(y)).

geno3141 Nov 20, 2014

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