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alexandr1967 [171]
3 years ago
11

Select all true statements given the diagram below.

Mathematics
1 answer:
Archy [21]3 years ago
3 0
You need to show the graph, for others to answer
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Please help !!! it's due today!!
alexandr402 [8]

Answer:

C

Step-by-step explanation:

If it is not C it is D, but i am pretty sure its c

7 0
2 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:

brainly.com/question/27805589

brainly.com/question/27983581

brainly.com/question/27759474

5 0
2 years ago
What is the value of the expression when n=3 -2(5+n-8-3n)
Greeley [361]
-2n(5 + n - 8 - 3n)
-10n - 2n² + 16n + 6n²
4n² + 6n
7 0
2 years ago
Read 2 more answers
A certain drug is made from only two ingredients: compound A and compound B. There are 4 millimeters of compound A used for ever
dolphi86 [110]
858 i believe... 
546/7
78 x 4 (compound a)
312 + original compound b (546)

Hope I helped!
Giving me brainliest is much appreciated! =)
4 0
2 years ago
PLEASE HELP. IF YOU DONT KNOW ONE BUT KNOW the otHERS THATS VERY HELPFUL TOO!!!
vredina [299]

Answer:

idk im stuck too

Step-by-step explanation:

6 0
2 years ago
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