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oksano4ka [1.4K]
3 years ago
7

What is the first derivative of this function?

Mathematics
1 answer:
Dvinal [7]3 years ago
7 0

\bf \cfrac{-9x^2}{8x^5+3}\implies \stackrel{\textit{using the quotient rule}}{\cfrac{(-18x)(8x^5+3)~~-~~(-9x^2)(40x^4)}{(8x^5+3)^2}} \\\\\\ \cfrac{(-144x^6-54x)~~-~~(-360x^6)}{(8x^5+3)^2}\implies \cfrac{-144x^6-54x~~+~~360x^6}{(8x^5+3)^2} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \cfrac{216x^6-54x}{64x^{10}+48x^5+9}~\hfill

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Find the surface area of the triangular prism (above) using its net (below).
r-ruslan [8.4K]

Answer:

96 square units

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.

My answer:

  • The length of the large rectangle is: 5
  • The width of the large rectangle is: 7

=> Area of the large rectangle = length × width  = 7*5 = 35 square units

  • The length of the middle rectangle is: 7
  • The width of the middle rectangle is: 4

=> Area of the middle rectangle = length × width  = 7*4 = 28 square units

  • The length of the small rectangle is: 7
  • The width of the small rectangle is: 3            

=> Area of the small rectangle = length × width  = 7*3 = 21 square units

Area of top and the bottom triangles =2* \frac{1}{2}bh  = 4*3 =12  

Total surface area = 35 + 28 + 21 + 12 = 96 square units

3 0
3 years ago
Read 2 more answers
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Step-by-step explanation:

Given:

x = 26214.47

s = 5969.25

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t = 2.046

The confidence interval is:

CI = x ± t (s / √n)

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VladimirAG [237]
There are multiple answers to this question
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(You can just pick one)

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Answer:

A

Step-by-step explanation:

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3 years ago
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Please help me with this math question
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Answer:

C .56

Step-by-step explanation:

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