# math

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A factory produces bicycles at a rate of 80+0.3t^2−1.1t bicycles per week (t in weeks). How many bicycles were produced from day 15 to 21?

• math -

Intgerate (.3t^2 - 1.1t + 80) dt from 15 to 21

= .1t^3 - .55t^2 + 80t [12,15]
= 1413 - 1063
= 360

• math -

Very useful thanks!

for mine I had 8 to 28 days, and my rate was different. I just typed: 0 to 3 integral 105+02t^2−09t into wolfram alpha and got 312 bicycles.

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