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tino4ka555 [31]
2 years ago
14

Find a formula for the inverse of the function f(x)=(1+e^x)/(1-e^x)

Mathematics
1 answer:
Brrunno [24]2 years ago
4 0

Let y = f(x)

y = (1 + e^x)/(1 - e^x)

Exchange places with x and y.

x = (1 + e^y)/(1 - e^y)

Now solve for y.

y = log[(x + 1)/(x - 1)]

Replace y with the inverse notation.

f^(-1) x = log[(x + 1)/(x - 1)]

Done!
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The boys had 5 4 6 gallons of water to share throughout the day. James drank 1 1 3 5 6 1 2 gallons and Simon drank 2 3 gallon. H
dsp73

Answer:

1\frac{1}{3}

Step-by-step explanation:

Total Volume of Water = 5\frac{4}{6}

Volume drunk by James =1\frac{1}{3}

Volume drunk by Simon =\frac{2}{3}

Volume drunk by Matthew = 1\frac{1}{2}

Volume drunk by Gilbert =\frac{5}{6}

Total Volume Drunk (i.e. The Sum) = 1\frac{1}{3} + \frac{2}{3} + 1\frac{1}{2} +\frac{5}{6}=\frac{13}{3}

Volume of water Left = Total Volume of Water-Total Volume Drunk

= 5\frac{4}{6}-\frac{13}{3} =\frac{4}{3}=1\frac{1}{3}

3 0
3 years ago
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a 4.50 g coin of copper absorbed 54 calories of heat. what was the final temperature of the copper if the initial temperature wa
I am Lyosha [343]

The final temperature of copper is 155.43°C.

Step-by-step explanation:

The formula to apply is Q=m*Δt*c where ;

Q=heat energy, m=mass, c=specific heat capacity and Δt= change in temperature

Given that Q=54 calories , m=4.50 g and c=0.092 cal/g°C

In this question find Δt then ,the final temperature.

Δt=Q/m*c

Δt=54/4.50*0.092 =130.43°C

To find final temperature, apply the formula;

Δt=Final temperature - Initial temperature

130.43°C=Final temperature-25°C

130.43°C+25°C=Final temperature

155.43°C

Learn More

Specific Heat Capacity : brainly.com/question/12431744

Keyword : specific heat capacity

#LearnwithBrainly

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3 years ago
What is a square root that lies between 17 and 18
sasho [114]

Answer: 10√3

Step-by-step explanation:

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2 years ago
It snowed 14 cm in 5 hours. what is the unit rate
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Answer:

2.8cm per 5 hours

Step-by-step explanation:

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Whatbis the slope of a line that is perpendicular to the line y= 2x-6? A. -2
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Answer:

D. -1/2

Step-by-step explanation:

When a line is perpendicular to another line the slope will be the exact opposite. For example line A = y = 3x + 5 the line perpendicular to it will be -1/3x.

So -1/2 is the slope of your perpendicular line.

4 0
2 years ago
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