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Anarel [89]
3 years ago
13

Someone who is smart help, Im struggling with this and it's the last hardest question on my homework. Please help.

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
8 0
16 3/8 I so sorry if wrong glade I could help
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Answer:

C. \frac{f(b)-f(1)}{b-1}=20

General Formulas and Concepts:

<u>Calculus</u>

  • Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that  f'(c)=\frac{f(b)-f(a)}{b-a}
  • MVT is also Average Value

Step-by-step explanation:

<u>Step 1: Define</u>

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Interval [1, b]

<u>Step 2: Check/Identify</u>

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Derivative [1, b] is continuous.

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<u>Step 3: Mean Value Theorem</u>

  1. Substitute:                    20=\frac{ f(b)-f(1)}{b-1}
  2. Rewrite:                        \frac{ f(b)-f(1)}{b-1}=20

And we have our final answer!

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