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algol13
2 years ago
13

A man buys a jacket birr 300 before VAT what is the VAT and the total cost?​

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
7 0
  • Base price=300
  • Let VAT be x%

Now

  • Total VAT=0.x(300)

Total cost:-

  • 300+300(0.x)
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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:

<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
Which of the following graphs represents the equation below?: -9x – 3y = -8
Mamont248 [21]
It’s C! that’s the answer, hope it helps
7 0
2 years ago
The perimeter of the square below is 36. What is the length of the diagonal, x? A.6 B.9 C.62–√ D.92–√
siniylev [52]

Answer:

9\sqrt{2}

Step-by-step explanation: did it

4 0
3 years ago
HELP! How do you do this!! Need help ASAP!!
raketka [301]

Multiplying binomial and polynomials can be easy as long as you follow the steps for example:

Let's say you were multiplying 3x-3 and x+2

(3x-3)(x+2)

remember FOIL

OR think about it like this(see attatchment)

3x^2 + 3x -6 is what you should get

8 0
3 years ago
Select the correct answer.
Sonja [21]

Answer:

B) 5 + 17i is your answer.

Step-by-step explanation:

In order to write this equation as a complex number in standard form, you must first simplify each term.

<em>Apple the distributive property.</em>

21 - 4i - 1 * 16 - (7i) + 28i

<em>Multiply -1 by 16.</em>

21 - 4i -16 - (7i) + 28i

<em>Multiply 7 by -1.</em>

21 - 4i - 16 - 7i + 28i

<em>Now simplify by adding terms :)</em>

<em>Subtract 16 from 21.</em>

5 - 4i - 7i + 28i

<em>Subtract 7i from -4i.</em>

5 - 11i + 28i

<em>Add -11i and 28i.</em>

= 5 + 17i

5 0
3 years ago
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