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lianna [129]
3 years ago
8

Differentiate the function F(t) = ln [(2t+1)^3 / (3t-1)^4]

Mathematics
1 answer:
Orlov [11]3 years ago
4 0
Hi, ok. Let me explain you:

Firstly, we have:
<span><span>f<span>−1</span></span>(f(x))=f(<span>f<span>−1</span></span>(x))=x

</span> We' are going to use this to find <span><span>f<span>−1</span></span>(x)</span>
then <span>f(x)=5x−3</span>
to find <span><span>f<span>−1</span></span>(x)</span>
so, we put x= <span><span>f<span>−1</span></span>(x)</span>,
and we havef(f−1(x))=5f−1(x)−3
thus, we get x=5f−1(x)−3 <span>                          5<span>f<span>−1</span></span>(x)=x+3</span> or maybe<span><span><span>f<span>−1</span></span>(x)=<span><span>x+3</span>5</span></span></span>
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8 0
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Answer:

z (min)  = 705

x₁  = 10

x₂  = 9

Step-by-step explanation:

Let´s call  x₁  quantity of food I ( in ou )  and x₂ quantity of food II ( in ou)

          units of vit. C   units of vit.E   Cholesterol by ou

x₁                 32                      9                         48

x₂                16                      18                          25

Objective function z

z  =   48*x₁   +  25*x₂        To minimize

Subject to:

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32*x₁   +  16*x₂     ≥   464

2.- Total units of vit. E at least  252

9*x₁  + 18*x₂   ≥  252

3.- Quantity of ou per day

x₁   +   x₂   ≤  35

General constraints    x₁  ≥ 0    x₂   ≥ 0

Using the on-line simplex method solver (AtoZmaths) and after three iterations the solution is:

z (min)  = 705

x₁  = 10

x₂  = 9

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Step-by-step explanation:

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Step-by-step explanation:

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