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4 years ago

Find the area between the graph of the given function and the x-axis over the given interval, if possible.

Mathematics

1 answer:

icang [17]4 years ago

7 0

Answer:

Not possible to find out area

Step-by-step explanation:

Given is an exponential function as

$f(x) =e^{-x}$ and we have to find the area to the left of e above x axis under the curve.

Using integrals, we find area =

$\int\limits^e_{-\infty} e^{-x} \, dx\\=-e^{-x}$

substitute limits

When we substitute -infinity we get e^infty which is again infinity

Hence finding out area is not possible.

The integral of area diverges.

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HELP ME PLEASE!!!

zaharov [31]

The correct answer to this question would be answer choice B.

To convert the decimal 0.56 to a fraction, first set it to a fraction over 100 which would be 56/100.

Then, because the question asks for the fraction to be in simplest form, look for the greatest common factor of the numerator and denominator or 56 and 100.

To find it, list out all of their factors:

56: 1, 2, 4, 7, 8 , 14, 28, 56

100: 1, 2, 4, 5, 10,20,25,50,100

Notice that out of all the factors listed, the greatest common factor listed is 4. Because of this, divide both the numerator and denominator by 4 to simplify your fraction to your answer: 14/25

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3 years ago

Circle towns limit form a perfectly circular shape that has a population of 20000 in the population density of 480 people per sq

Alex

Answer:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

Step-by-step explanation:

For this case we know the population size $P = 20000$ and we also know the population density $D = 480 \frac{people}{km^2}$

We can assume that the area is a circle. We also know that the formula for the population density is given by:

$D= \frac{P}{A}$

Where P represent the number of people and A the area. Since we are assuming a circle then the area is given by:

$A = \pi X^2$

With X the radius of the circle

And then the populationd density become:

$D =\frac{P}{\pi X^2}$

And solving for the radius we got:

$X = \sqrt{\frac{P}{\pi D}}$

And replacing the data given we got:

$X = \sqrt{\frac{480 \frac{people}{km^2}}{\pi *20000 people}}= 0.0874Km$

And this value converted to meters is $X = 87.40 m$

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4 years ago

Combine as indicated by the signs. Write variables alphabetically in your answer. 3/x+1/xyz+2/xy

Free_Kalibri [48]

$\frac{3yz+2z+1}{xyz}$ should be your answer

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3 years ago

Read 2 more answers

If Lisa ran 3 miles, how many meters did she run?

jeka57 [31]

This is the answer 4828.03

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3 years ago

Round 299.2131 to the nearest thousands

Digiron [165]

Answer:

Step-by-step explanation:

First find the place that is the thousandth place. That would be the 3 then you will look beside the 3 to see if their is a number bigger than five. If there is then you would add whatever number to make the number 10. In this case their is not so you would instead look at the three and replace all the numbers to the right of three ( don’t change three though) and make them zeros. So that will leave you with 299.2130 rounded to the nearest thousandth.

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3 years ago