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3 years ago

Simply the following expression 2^x - 2^x + 1

Mathematics

1 answer:

Over [174]3 years ago

6 0

Answer:

Step-by-step explanation:

the 2^x - 2^x cancels out

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WILL MARK BRAINLIEST IF YOU GET IT RIGHT GET IT WRONG ON PURPOSE ILL REPORT U!

Amanda [17]

Answer:

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Step-by-step explanation:

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3 years ago

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-54/-9 - (-5)= need help ASAP

Semenov [28]

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3 years ago

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Find the volume of the solid formed by revolving the region bounded by LaTeX: y = \sqrt{x} y = x and the lines LaTeX: y = 1 y =

Strike441 [17]

Answer:

The volume is:

$\displaystyle\frac{37\pi}{10}$

Step-by-step explanation:

See the sketch of the region in the attached graph.

We set the integral using washer method:

$\displaystyle\int_a^b\pi r^2dx$

Notice here the radius of the washer is the difference of the given curves:

$x-\sqrt{x}$

So the integral becomes:

$\displaystyle\int_1^4\pi(x-\sqrt{x})^2dx$

We solve it:

Factor $\pi$ out and distribute the exponent (you can use FOIL):

$\displaystyle\pi\int_1^4x^2-2x\sqrt{x}+x\,dx$

Notice: $x\sqrt{x}=x\cdot x^{1/2}=x^{3/2}$

So the integral becomes:

$\displaystyle\pi\int_1^4x^2-2x^{3/2}+x\,dx$

Then using the basic rule to evaluate the integral:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{2x^{5/2}}{5/2}+\frac{x^2}{2}\right|_1^4$

Simplifying a bit:

$\displaystyle\pi\left[\frac{x^3}{3}-\frac{4x^{5/2}}{5}+\frac{x^2}{2}\right|_1^4$

Then plugging the limits of the integral:

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(4)^{5/2}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Taking the root (rational exponents):

$\displaystyle\pi\left[\frac{4^3}{3}-\frac{4(2)^{5}}{5}+\frac{4^2}{2}-\left(\frac{1}{3}-\frac{4}{5}+\frac{1}{2}\right)\right]$

Then doing those arithmetic computations we get:

$\displaystyle\frac{37\pi}{10}$

6 0

3 years ago

Hi guys could some please help me answer this question???

qaws [65]

Answer: the bottom one

Step-by-step explanation:

i think its the bottom one i did some math

8 0

3 years ago

There were 80 runners to start a race. In the first half of the race, 1/4 of them dropped out. In the second half of the race, 2

IgorLugansk [536]

Answer:

36 runners finished the race.

Step-by-step explanation:

In the first half of the race, 1/4 of them dropped, so we need to calculate 1/4 of 80:

(1/4) * 80 = 80/4 = 20

If 20 runners dropped out, now we have 80 - 20 = 60 runners.

Then, in the second half, 2/5 of the remaining runners dropped out, so:

(2/5) * 60 = 2*60/5 = 120/5 = 24

If 24 runners dropped out, now we have 60 - 24 = 36 runners.

So, 36 runners finished the race.

7 0

3 years ago

Simply the following expression 2^x - 2^x + 1​

Simply the following expression 2^x - 2^x + 1