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  • 12-04-2017
  • Mathematics
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find f f'(x)=1+3sqrt(x) f(4)=25

Respuesta :

irspow
irspow irspow
  • 12-04-2017
It appears that you have a derivative and want to integrate...

dy/dx=1+3√x 

y(x)=x+(2/3)x^(3/2)+C  you are given that f(4)=25 so we can solve for the constant of integration...

y(4)=25=4+16/3+C

21=16/3+C

(63-16)/3=C

47/3=C so

f(x)=x+(2/3)x^(3/2)+47/3

f(x)=(3x+2x^(3/2)+47)/3


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