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3 years ago

What is the median for the set of data shown below?

Mathematics

2 answers:

JulsSmile [24]3 years ago

8 0

42. This is because you cross out the numbers left from right until theres a number inbetween.

Nezavi [6.7K]3 years ago

6 0

The answer is A because 42 is in the middle.

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Andrei [34K]

Answer:

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3 years ago

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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:

Fundamental Theorem of Calculus

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

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

$\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 indefinite integral:

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

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

Quanto fa 2×2? hsbwhannwn

goldenfox [79]

Answer:

$ok, ma \: quando \: 2+2= 1? $

6 0

2 years ago

Read 2 more answers

Select the number line model that matches the expression 1/4 - 5/4

Yuri [45]

Answer:

The answer would be -5/4

3 0

3 years ago

Give two different methods you could use to put the fractions 1/2, 3/4, 3/8, 5/8, 5/16, 7/16, 9/16, and 11/16 in order

alina1380 [7]

You could give all of the fractions a common denominator. You could also solve each of them (1/2=0.5) to see their value and order them through the value.

6 0

3 years ago