3 years ago

PLEASE HELP ME!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

swat323 years ago

4 0

The answer will be 14^12

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3 years ago

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An oil tanker breaks apart and starts leaking. As time goes on, the rate at which the oil is leaking out will diminish. Suppose

Alborosie

Answer:

62.77 million gallons

Step-by-step explanation:

Given,

The function that shows rate of leaking oil per minute in after t hours,

$R(t) = \frac{0.7}{1+t^2}$

∵ 1 hour = 60 minutes ⇒ 3 hours = 180 minutes,

Hence, the quantity of oil leaked out in the first 3 hours,

$V(t) = \int_{0}^{180} R(t) dt$

$=\int_{0}^{180} \frac{0.7}{1+t^2} dt$

$=0.7 \int_{0}^{180} \frac{dt}{1+t^2}$

$=0.7[tan^{-1}(t)]_{0}^{180}$

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$=0.7(89.68)$

= 62.77 million gallons

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3 years ago