A water tank contains 75 liters. Water is leaving the tank at an increasing rate given by f(t)=2+0.4t^2 liters per minute.
A) How much water leaves the tank in 10 min?
B) How long will it take for the tank to be empty?
C) What is the average rate of change at which the water left the tank?

Answers

Answer 1

Hi there!

A)

We can evaluate an integral to solve:

[tex]\int\limits^{10}_0 {2 + 0.4t^{2}} \, dt = 2(10) + 4/30(1000) = 153.333 L[/tex]

B)

Use the FTC to solve:

F(0) - ∫(0 to x min)f(t) = F(x) = 0

[tex]75 - \int\limits^{t}_0 {2 + 0.4t^2} \, dt = 0[/tex]

Solve:

[tex]75 = \int\limits^{t}_0 {2 + 0.4t^2} \, dt[/tex]

Evaluate:

[tex]75 = 2t + 4/30t^{3}[/tex]

Use a graphing utility to solve:

t = 7.65 min

C)

Use the slope formula to find the AROC:

f(10) - f(0) / 10 - 0 = 42 - 2 / 10 - 0 = 4 L/m²


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Disease, poor nutrition, and vitamins

Drugs and alcohol, infection, and accidents

Answers

Answer:

Infection, disease, and poor nutrition

Explanation:

Teratogen, quite simply put, is any external agent which creates an abnormality in the foetus due to exposure while a woman is pregnant.

Therefore, the three categories of teratogens are Infection, disease, and poor nutrition.

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B. authoritative

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Answer:

e

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The period of life from about age 13 to the early twenties, during which a young person is no longer physically a child, but is not yet an independent, self-supporting adult, is called

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tweens

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Answers

The period of life from about age 13 to the early twenties, during which a young person is no longer physically a child, but is not yet an independent, self-supporting adult, is called early adulthood. Thus, option D is correct.

What is adulthood?

Adulthood has a very critical period because after half of the century when the person has to transform into the adulthood. Its has been critical period and the psychologically to the changes many things. When the person change in the adulthood everything just goes change such as the physical, or the mental, as well as the social and the psychological perspective of the person.

These days this process has been slower and not uniform just because these days the marriages has been conducted at the age of mid 29 to 32. So it leads a less crisis for the adults. The main incident that happened these days with the adults that they are simply aimless, and irresponsible and emotionally they are not stable. Adults do not committed to their own aim or work, even the relations these days.

Therefore,The period of life from about age 13 to the early twenties, during which a young person is no longer physically a child, but is not yet an independent, self-supporting adult, is called early adulthood. Thus, option D is correct.

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Answers

Answer:

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Explanation:

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Answers

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Explanation:

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Answer:

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Answer:

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