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3 years ago

3) What is the difference? 7,840 - 4,971* 0 2,769 0 2,869 0 2,879 0 2,969

Mathematics

2 answers:

djyliett [7]3 years ago

6 0

Answer:

0 2,869

hopefully this helped :3

Flura [38]3 years ago

3 0

Answer:

2869

Step-by-step explanation:

7,840 - 4,971

Subtract.

= 2869

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6 times (7+5) plus 3 or 6x(7+5)+3

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For the dilation, DO, K = (10, 0) → (5, 0), the scale factor is equal to _____.

eduard

Scale factor is equal to 1/2, since the point went from 10 to 5

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Calculus 2 Master needed, evaluate the indefinite integral of: <img src="https://tex.z-dn.net/?f=%5Cint%5C%28%20%28lnx%29%5E2%7D

viva [34]

Answer:

$\int (\ln(x))^2dx=x(\ln(x)^2-2\ln(x)+2)+C$

Step-by-step explanation:

So we have the indefinite integral:

$\int (\ln(x))^2dx$

This is the same thing as:

$=\int 1\cdot (\ln(x))^2dx$

So, let's do integration by parts.

Let u be (ln(x))². And let dv be (1)dx. Therefore:

$u=(\ln(x))^2\\\text{Find du. Use the chain rule.}\\\frac{du}{dx}=2(\ln(x))\cdot\frac{1}{x}$

Simplify:

$du=\frac{2\ln(x)}{x}dx$

And:

$dv=(1)dx\\v=x$

Therefore:

$\int (\ln(x))^2dx=x\ln(x)^2-\int(x)(\frac{2\ln(x)}{x})dx$

The x cancel:

$=x\ln(x)^2-\int2\ln(x)dx$

Move the 2 to the front:

$=x\ln(x)^2-2\int\ln(x)dx$

(I'm not exactly sure how you got what you got. Perhaps you differentiated incorrectly?)

Now, let's use integrations by parts again for the integral. Similarly, let's put a 1 in front:

$=x\ln(x)^2-2\int 1\cdot\ln(x)dx$

Let u be ln(x) and let dv be (1)dx. Thus:

$u=\ln(x)\\du=\frac{1}{x}dx$

And:

$dv=(1)dx\\v=x$

So:

$=x\ln(x)^2-2(x\ln(x)-\int (x)\frac{1}{x}dx)$

Simplify the integral:

$=x\ln(x)^2-2(x\ln(x)-\int (1)dx)$

Evaluate:

$=x\ln(x)^2-2(x\ln(x)-x)$

Now, we just have to simplify :)

Distribute the -2:

$=x\ln(x)^2-2x\ln(x)+2x$

And if preferred, we can factor out a x:

$=x(\ln(x)^2-2\ln(x)+2)$

And, of course, don't forget about the constant of integration!

$=x(\ln(x)^2-2\ln(x)+2)+C$

And we are done :)

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3 years ago

Please help me on all 4 or on just numbers 6,7,8

belka [17]

Answer:

5. Not sure

6. Its linear since the first difference is constant.

7. Linear since its a line.

8. Slope/Rate of Change/M = Rise over Run = rise/run.

From the left point to the right, the rise is 3 and run is 10.

M = 3/10.

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Step-by-step explanation:

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