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Sunny_sXe [5.5K]
3 years ago
15

How do we know that the derivative of 1/x is equal to -1/x^2 ?

Mathematics
1 answer:
snow_lady [41]3 years ago
4 0

Answer:the derivative of 1/x =-1/x^2

Step-by-step explanation:

1/x can also be written as x^-1

Therefore d/dx of x^-1

=-1*x^-1-1

=-1x^-2

Which can also be written as -1/x^2

Note: d/dx also means derivative of x

And d/dx (a/x^b) =(a*-b) /x^(b+1)

Where a and b represents a variable

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10.507140429 nearest hundredth
rosijanka [135]

Answer:

10.51

Always look to the right of the place you are rounding

so...

if you look at 10.507140429

the 0 after 5 is in the hundredths place

look to the right of 0 and you'll see a 7.

If the number to the right of the place you are supposed to round to is:

5 or greater - round up

less than 5  - round down

Hope this helped

6 0
3 years ago
the percent p of the u.s. population with internet access is given by 25p-34t=1378 where t is the number of years after 1990. wh
Mashutka [201]

Answer:

  • Hence, 75.52 percent of the u.s. population had internet access in 2005.
  • After 25 years or in the year 2015 89% have internet access.

Step-by-step explanation:

the percent p of the u.s. population with internet access is given by:

25 p-34 t=1378

where t is the number of years after 1990.

  • We are asked to find  what percent of the u.s. population had internet access in 2005 i.e. we need to find the value of p after 15 years i.e. t=15.

⇒  25p-34×(15)=1378

⇒  25p-510=1378

⇒  25p=1378+510

⇒  25p=1888

⇒  p=75.52

Hence, 75.52 percent of the u.s. population had internet access in 2005.

  • Next we are asked to find in what year will 89% have internet access?

i.e. we have to find the value of t when we are given p=89

⇒  25×89-34t=1378

⇒  2225-34t=1378

⇒  2225-1378=34t

⇒  847=34t

⇒  or 34t=847

⇒  t=24.9112≈25

Hence after 25 years 89% will have internet access.

i.e. in the year 2015 89% will have internet access.



3 0
3 years ago
Can someone please help me on this question? 30 points
romanna [79]

Answer:

Equation: 3x-20+x=180

4x-20=180

4x=200

x=50

Step-by-step explanation:

5 0
3 years ago
Which symbol would make this statement true?<br> 3 __ 4 __ 5<br> 1. =<br> 2. <br> 4. ≤<br> 5. ≥
dybincka [34]

number 2

Step-by-step explanation:

4 is greater than 3, 5 is greater than 4.

3 0
3 years ago
Read 2 more answers
The radius is 10 units, and each layer is one unit high. What is the volume of the cylinder in cubed units?​
alexandr1967 [171]

Answer:

Volume of cylinder is 6285.71 square units.

Step-by-step explanation:

Given the radius of cylinder 10 units. The height is twice its radius. we have to find its volume.

r=10 units

⇒ Diameter, d = 20 units

Also given height is twice its radius.

⇒ Height=2(r)=2(10)=20 units

<h2><em><u>Volume of cylinder=πr^2h</u></em></h2>

= 22/7 × 100×20

=22/7 × 2000

= 44000/7

= 6285.71square units.

hence, volume of cylinder is 6285.71 square units.

6 0
2 years ago
Read 2 more answers
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