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loris [4]
3 years ago
10

Using the graph at right, where is the function increasing/decreasing? Where is the function concave up/down? Does this function

have any
maxima or minima? Explain how you know
Mathematics
1 answer:
Burka [1]3 years ago
8 0

Explanation:

Start by calculating the first derivative of f(x) - use the quotient rule

ddx(f(x))=[ddx(x2)]⋅(x2+3)−x2⋅ddx(x2+3)(x2+3)2

f′=2x⋅(x2+3)−x2⋅2x(x2+3)2

f′=2x3+6x−2x3(x2+3)2=6x(x2+3)2❤

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3 years ago
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4 years ago
A pond at a hotel holds 14,274 gallons of water
geniusboy [140]

At a rate of 78 ounce of water per hour, it would take 23,424 hours to drain the pond.

<h3>How long will it take to drain the pond?</h3>

First of all, we would use an appropriate conversion factor to convert the given units of water to the same unit. Thus, we would convert the unit of the pond's volume to ounce as follows:

Conversion factor:

1 gallon = 128 ounce.

14,274 gallons = X ounce

Cross-multiplying, we have:

X = 14,274 × 128

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Now, we can calculate the time:

Rate = volume/time

Time = volume/rate

Time = 1,827,072/78

Time = 23,424 hours.

Read more on rate of change here: brainly.com/question/15648128

#SPJ1

Complete Question:

A pond at a hotel holds 14,274 gallons of water. The groundskeeper drains the pond at a rate of 78 ounce of water per hour. How long will it take to drain the pond?

7 0
2 years ago
Change 3/5 to a percentage and a decimal
AURORKA [14]
A fraction is a short way to write a division problem.

Every fraction means  (the top number) divided by (the bottom number).

When you actually do the division, you get the decimal.

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To change any decimal to a percent, you move
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             0.60  =  60% .
8 0
3 years ago
Read 2 more answers
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