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2 years ago

(2 1/3 - 1 5/6) divided by ÷ 1 1/3

Mathematics

1 answer:

kenny6666 [7]2 years ago

4 0

Answer:

the answer is 10/22 when i calculated it

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Differentiate x^2 e^x logx

zimovet [89]

Product rule:

$\dfrac{\mathrm d}{\mathrm dx}(x^2e^x\log x)$

$=\dfrac{\mathrm d(x^2)}{\mathrm dx}e^x\log x+x^2\dfrac{\mathrm d(e^x)}{\mathrm dx}\log x+x^2e^x\dfrac{\mathrm d(\log x)}{\mathrm dx}$

Power rule:

$\dfrac{\mathrm d(x^2)}{\mathrm dx}=2x$

The exponential function is its own derivative:

$\dfrac{\mathrm d(e^x)}{\mathrm dx}=e^x$

Assuming the base of $\log x$ is $e$ , its derivative is

$\dfrac{\mathrm d(\log x)}{\mathrm dx}=\dfrac1x$

But if you mean a logarithm of arbitrary base $b$ , we have

$y=\log_bx\implies x=b^y=e^{y\ln b}\implies1=e^{y\ln b}\ln b\dfrac{\mathrm dy}{\mathrm dx}$

$\implies\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{e^{-y\ln b}}{\ln b}=\dfrac1{b^y\ln b}$

$\implies\dfrac{\mathrm d(\log_bx)}{\mathrm dx}=\dfrac1{x\ln b}$

So we end up with

$2xe^x\log x+x^2e^x\log x+\dfrac{x^2e^x}x$

$=xe^x(2\log x+x\log x+1)$

8 0

2 years ago

Simplify the problem

Natasha2012 [34]

$\frac{6}{10x^2} \div \frac{6}{10x^3-60x^2} = \frac{6}{10x^2} \cdot \frac{10x^3-60x^2}{6} =\frac{1}{10x^2} \cdot \frac{10x^2(x-6)}{1} =x-6$

5 0

2 years ago

Braceleftzf y = 8/7 x − 2/3 <br> 8/3 x + y = 5/9

givi [52]

Answer:

(x, y) = (77/240, -3/10)

Step-by-step explanation:

It is convenient to write the equations in standard form.

Multiplying the first equation by 21 gives ...

21y = 24x -14

Multiplying the second equation by 8 gives ...

24x +9y = 5

Then the system of equations in standard form is ...

24x -21y = 14
24x +9y = 5

Subtracting the first from the second, we get ...

(24x +9y) -(24x -21y) = (5) -(14)

30y = -9

y = -9/30 = -3/10

Substituting this into the second equation, we have ...

24x +9(-3/10) = 5

24x = 7.7 . . . . . . . add 27/10

x = 7.7/24 = 77/240

The solution is (x, y) = (77/240, -3/10).

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2 years ago

Calculate the missing angle and give a reason for your answer

Vanyuwa [196]

Step-by-step explanation:

the triangle is an isosceles triangle hence the base angles are equal

sum of angles in a triangle is 180°, therefore, the top angle =180-(62+62)

the top angle =56°

h°= the top angle because alternate angles are equal

hence, h=56°

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2 years ago

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The answers for fall math test 8th grade

lukranit [14]

Answer:

Step-by-step explanation:

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2 years ago

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(2 1/3 - 1 5/6) divided by ÷ 1 1/3​

(2 1/3 - 1 5/6) divided by ÷ 1 1/3