Write a polynomial that fits the given description.
1 answer:
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For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
Given :
Xanthe and Sarah together raised $302 .
If Xanthe raised $102 more than Sarah .
To Find :
The amount raised by Sarah .
Solution :
Let , amount raise by Sarah is x .
So , by the relation given , price raised by Xanthe is 102 + x .
Now , sum of their amount raised is :
Therefore , the amount raised by Sarah is $100 .
Hence , this is the required solution .