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Mathematics 7 Online
OpenStudy (destinyyyy):

Help on last question.. Calculus..

OpenStudy (destinyyyy):

OpenStudy (mathmale):

Could you please be more specific about what kind of "help" you need? If y ou want someone to check your work, please share your own work here.

OpenStudy (destinyyyy):

I need help solving it. Starting at step one. I didnt answer this question. I want to know how to solve it. This was on my quiz but I dont have a question like this in any of the 8 sections of homework ive done in the course so far.

OpenStudy (anonymous):

i think in part you need to simply integrate.

OpenStudy (anonymous):

of function P(t)

OpenStudy (fortytherapper):

I'd suggest taking the derivative via Quotient Rule

OpenStudy (anonymous):

\[Growth rate = \frac{ dP(t) }{ dt } =\frac{ 400*(2t ^{2}+9)-400t*4t }{ {(2t^{2}+9)}^{2} } =\frac{ -800t^{2}+3600 }{ {(2t^{2}+9)}^{2} } \] \[P(11)= \frac{ 400*11 }{ 2*11^{2}+9 } thousands\] \[t=11, \frac{ dP(t) }{ dt }=\frac{ -800*11^{2}+3600 }{ (2*11^{2 }+9)^{2}} \frac{thousands-resident }{year }\]

OpenStudy (destinyyyy):

Im getting 17.530 for B and -1.479 for C.

OpenStudy (destinyyyy):

Is the system incorrect or are my calculations wrong?

OpenStudy (freckles):

the population is in thousands

OpenStudy (freckles):

therefore you need to multiply both by 1000

OpenStudy (freckles):

to get the population and population/year

OpenStudy (freckles):

respectively

OpenStudy (destinyyyy):

Ohhh I see. Thank you.

OpenStudy (freckles):

np

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