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Simora [160]
3 years ago
7

Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.

Mathematics
1 answer:
blondinia [14]3 years ago
6 0
I hope this helps you

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A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 7 m . If water is being pumped int
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The water level increases by 0.608 meters per minute when the water is 3.5 m deep

<h3>How to determine the rate?</h3>

The given parameters are:

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The relationship between the radius and height is:

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This gives

V = \frac 13\pi (\frac{3h}{7})^2h

Expand

V =  \frac{3h^3}{49}\pi

Differentiate

V' = \frac{9h^2}{49}\pi h'

Make h' the subject

h' = \frac{49}{9\pi h^2}V'

When the water level is 3.5.

We have:

h' = \frac{49}{9\pi * 3.5^2}V'

Also, we have:

V' = 4.3

So, the equation becomes

h' = \frac{49}{9\pi * 3.5^2} * 4.3

Evaluate the products

h' = \frac{210.7}{346.36}

Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute

Read more about volumes at:

brainly.com/question/10373132

#SPJ1

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