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ikadub [295]
3 years ago
8

Help!!! I don’t understand how to do this

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

  f^{(k)}(x)=\dfrac{17k!(-1)^k}{(x-9)^{k+1}}

Step-by-step explanation:

The question presumes you have access to a computer algebra system. The one I have access to provided the output in the attachment. The list at the bottom is the list of the first four derivatives of f(x).

__

The derivatives alternate signs, so (-1)^k will be a factor.

The numerators start at 17 and increase by increasing factors: 2, 3, 4, indicating k! will be a factor.

The denominators have a degree that is k+1.

Putting these observations together, we can write an expression for the k-th derivative of f(x):

  \boxed{f^{(k)}(x)=\dfrac{17k!(-1)^k}{(x-9)^{k+1}}}

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Find the area of a circle with a diameter of 14 meters. Round your answer to the nearest hundredth of a square meter.
Jlenok [28]

<u>To find the area of the circle</u>:

 ⇒ need to know the formula: \pi r^{2}

  • r: radius or half of diameter's length ⇒ 7 meters

<u>Let's calculate:</u>

 Area = \pi (7)^2=49\pi =153.9380m^3

<u>The problem asks us to round to the nearest hundreth</u>:

Area = 153.94m^3

<u>Answer:</u> 153.94m^3

Hope that helps!

 

4 0
1 year ago
6x-3-11-8x=2 please show work
Ludmilka [50]

Answer: is x = -8

this is how i got it ______

6 x - 3 - 11 - 8 x = 2

(simplify both sides and combine like terms)

(6x + -8x ) + ( -3 + -11) = 2

- 2x  +  -14 = 2

-2x  -  14 = 2

( then you add 14 to both sides)

- 2x - 14 = 2

     +14       +14

-2x = 16

( then you divide both sides by -2)

-2x / -2   =   16/ -2

x = -8

ta da!! happy to help!

it made it here. this is for the second one.

( first, we subtract 8n from both sides)

13n + 26 = 8n - 29

-8n           -8n

5n + 26  =  -29

( then we subtract 26 from both sides)

5n + 26 = -29

     - 26    -26

5n = - 55

(after that we divide both sides by 5, we do this to make n alone )

5n/ 5 = -55/ 5

n = -11

7 0
2 years ago
8-1 1/5<br> (Simplify your answer. Type a whole number, fraction, or a mixed number.)<br> orrect:
ozzi
The answer is 6 4/5!
6 0
3 years ago
Read 2 more answers
Find the area of the polygon.
Anettt [7]

Answer:

option D: 27.5 square units

Step-by-step explanation:

Divide the polygon in 6 figures

see the attached figure

Area of figure 1 (right triangle)

A1=(1/2)(3)(3)=4.5 units²

Area of figure 2 (rectangle)

A2=(1)(3)=3 units²

Area of figure 3 (rectangle)

A3=(1)(3)=3 units²

Area of figure 4 (right triangle)

A4=(1/2)(3)(3)=4.5 units²

Area of figure 5 (right triangle)

A5=(1/2)(4)(5)=10 units²

Area of figure 6 (right triangle)

A6=(1/2)(1)(5)=2.5 units²

The total area is equal to

At=A1+A2+A3+A4+A5+A6

At=4.5+3+3+4.5+10+2.5=27.5 units²

8 0
3 years ago
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allsm [11]

Answer:

54 students

Step-by-step explanation:

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8 0
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