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daser333 [38]
3 years ago
8

This is similar to a problem in the textbook. After a foreign substance is introduced into the blood, the rate at which antibodi

es are made is modeled by f(t)=19t3t2+7 where f(t) is in thousands of antibodies per minute, and t is measured in minutes with 0≤t≤10. Assuming that there are no antibodies present at time t=0, find the total number of antibodies in the blood at the end of 10 minutes. Round your answer to two decimal places.
Mathematics
1 answer:
BartSMP [9]3 years ago
7 0

Answer:

We will find the number of antibodies by integrating the function:

∫

f

0

f

′

(

t

)

=

∫

60

0

27

t

8

t

2

+

3

d

t

Integrating both sides we get:

f

=

27

16

ln

(

8

t

2

+

3

)

Now let us plug-in the bounds we get:

Step-by-step explanation:

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Afina-wow [57]

Let the year represents x axis and consumption represents y axis.

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taking cube roots on both sides we get

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In the year 2028, x=28

so,

y=8.938(1.05448)^{28}

y= 39.474

Hence oil consumption per day in 2028 will be 39.474 million barrels.

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False- answer hope it helps



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