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Help with calculus please.?
A population grows continuously at the rate of 1.5%. How long will it take the population to double?
and
∫ (x + 1)5^(x + 1)^2 dx
Thanks!
2 Answers
- 1 decade agoFavorite Answer
Take (x+1)^2 = t
therefore 2(x+1) dx = dt
multiply and divide the integral by 2
1/2 ∫ 2(x + 1)5^(x + 1)^2 dx
1/2 ∫ 5^t dt using the above relation
1/2 .(5^t)/ log(5)
=>{5^(x+1)^2}/2log(5)
- 1 decade ago
y=ce^kt
2=1e^.015t
2= e^.015t
ln 2 = .015t ln e
ln 2/ .015 =t
t= 46.2098 years
combine to
int (x+1)^7
= 1/8 (x+1)^8 +c
