a. We're looking for
such that




b. Integrating with respect to
will make things easier.

(where we take the positive square root because we know
)
Now we want to find
such that




Answer:
$95.78
Step-by-step explanation:
f(t) = 300t / (2t² + 8)
t = 0 corresponds to the beginning of August. t = 1 corresponds to the end of August. t = 2 corresponds to the end of September. So on and so forth. So the second semester is from t = 5 to t = 10.
$T₂ = ∫₅¹⁰ 300t / (2t² + 8) dt
$T₂ = ∫₅¹⁰ 150t / (t² + 4) dt
$T₂ = 75 ∫₅¹⁰ 2t / (t² + 4) dt
$T₂ = 75 ln(t² + 4) |₅¹⁰
$T₂ = 75 ln(104) − 75 ln(29)
$T₂ ≈ 95.78
Answer:
y = √{(a - x)/2b}
Step-by-step explanation:
x=a-2by²
2by² = a - x
divide through by 2b
y² = (a - x)/2b
y = √{(a - x)/2b}
Answer:
5,500 rabbits
Step-by-step explanation:
500% of something is 5 times the original amount. 1,100 rabbits times 5 equals 5,500.
March: 240 * 0.4 = 96 used
240 - 96 = 144 remains in the tank
April : 144 * 0.25 = 36 used
144 - 36 = 108 remains in tank
answer: 108 gallons left at the end of April