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melomori [17]
3 years ago
14

Find the equation of the line. Use exact numbers. y=___x+____

Mathematics
1 answer:
skelet666 [1.2K]3 years ago
3 0
The correct answer is
Y= 2x + 4

Because the line lies on the number “4” which is on the Y axis
And the slope is 4 spaces up and 2 spaces to the right
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How do you integrate arctan(x dx? i think that if you simplify the integral you get:?
Temka [501]
Integration by parts will help here. Letting u=\arctan x and \mathrm dv=\mathrm dx, you end up with \mathrm du=\dfrac{\mathrm dx}{1+x^2} and v=x. Now

\displaystyle\int\arctan x\,\mathrm dx=uv-\int v\,\mathrm du
\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\int\frac x{1+x^2}\,\mathrm dx

For the remaining integral, setting y=1+x^2 gives \dfrac{\mathrm dy}2=x\,\mathrm dx, so

\displaystyle\int\frac x{1+x^2}\,\mathrm dx=\frac12\int\frac{\mathrm dy}y=\frac12\ln|y|+C=\frac12\ln(1+x^2)+C

Putting everything together, you end up with

\displaystyle\int\arctan x\,\mathrm dx=x\arctan x-\frac12\ln(1+x^2)+C
6 0
3 years ago
HELP!!!
vladimir1956 [14]
Create a conversion factor from "<span>There are 6.02 × 10^23 atoms in 1 gram of hydrogen:"

6.02*10^23 atoms
-------------------------
          1 gram

Then mult. 800 grams by this conversion factor:

</span>6.02*10^23 atoms      800 grams
------------------------- * ----------------
          1 gram                     1

This comes out to 4816*10^23 atoms, which, in scientific notation, is 

4.816*10^26 atoms.
3 0
3 years ago
Read 2 more answers
What is the interval when written in the form of (lower limit, upper limit)(lower limit, upper limit) ?
Stels [109]
The interval <span>when written in the form of lower limit and the upper limit would be 95.8 - 98.2. This can be calculated by subtracting 95 with 1.2 and by adding 95 with 1.2. Hope this answers the question. Have a nice day. Feel free to ask more question.</span>
8 0
4 years ago
An assembly line with 10 tasks needs be designed. The total time for all tasks is 16 minutes. If you need to produce 30 units/ho
Sindrei [870]

Answer: 8 minimum work stations is what would be needed.

Step-by-step explanation:

The cycle time is computed as the operating time daily divided by the scheduled output.

It is important to note that the daily capacity of the operation layout is the operating time divided by the cycle time.

Therefore,

If you need to produce 30units/hour.

The average cycle time is as follow:

The average cycle time is the average time between the completions of units.

60/30= 2 average cycle time

=16/2

=8

8 work stations is the minimum number that would be needed.

It is important to know that in an assembly line balancing, the minimum number of work station is the ratio of the sum of all tasks time to the cycle time.

5 0
3 years ago
A triangle has 2 sides of lengths 6 and 9. what value could the 3rd length be
Tpy6a [65]
Anything greater than 4 but less than 9
5 0
3 years ago
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