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3 years ago

10

How does the underlined sentence shaped and refine the key idea that Caesar avoided the wrath of the dictator sulla it indicates

not only did caesar leave after refusing sullas orders but that

1 answer:

galina1969 [7]3 years ago

8 0

Answer:

he avoided going there until he died

Step-by-step explanation:

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HELP!!! you dont have to answer all the questions at least the first one!!!

UkoKoshka [18]

57/19 = 3
x^5 / x^2 = x^(5-2) = <span>x^3

so </span><span>57x^5 / 19x^2 = 3x^3

answer
</span>3x^3

7 0

3 years ago

Find the value of x 2-x7=25

o-na [289]

Answer: 3.285714286

Step-by-step explanation: subtract 2 from both sides then divide by 7

4 0

3 years ago

Find integra of xlnxdx

Mademuasel [1]

Answer:

$\dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}$

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

$\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))$

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a <u>constant of integration</u>.

$\boxed{\begin{minipage}{4 cm}\underline{Integrating $x^n$}\\\\$\displaystyle \int x^n\:\text{d}x=\dfrac{x^{n+1}}{n+1}+\text{C}$\end{minipage}}$

Increase the power by 1, then divide by the new power.

Given <u>indefinite integral</u>:

$\displaystyle \int x \ln x \:\: \text{d}x$

To integrate the given integral, use Integration by Parts:

$\boxed{\begin{minipage}{5 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}$

$\text{Let }u=\ln x \implies \dfrac{\text{d}u}{\text{d}x}=\dfrac{1}{x}$

$\text{Let }\dfrac{\text{d}v}{\text{d}x}=x \implies v=\dfrac{1}{2}x^2$

Therefore:

$\begin{aligned}\displaystyle \int u \dfrac{dv}{dx}\:dx & =uv-\int v\: \dfrac{du}{dx}\:dx\\\\\implies \displaystyle \int x \ln x\:\:\text{d}x & = \ln x \cdot \dfrac{1}{2}x^2-\int \dfrac{1}{2}x^2 \cdot \dfrac{1}{x}\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x -\int \dfrac{1}{2}x\:\:dx\\\\& = \dfrac{1}{2}x^2\ln x - \dfrac{1}{4}x^2+\text{C}\end{aligned}$

Learn more about integration here:

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5 0

2 years ago

You want to solve 11% of what number is 22. Explain how you can solve that by using a proportion

Doss [256]

Write the first ratio as 11/100 and set it equal to 22/n.

since 11 x 2=22 you can multiply 100 x 2 and you'll get 200.

*Check*: 11% of 200=22

3 0

3 years ago

Find the volume of the prism

hichkok12 [17]

Answer:

do you have an image for that?

Step-by-step explanation:

4 0

3 years ago