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jok3333 [9.3K]
3 years ago
10

Given a function f(x)=2x^2+3, what is the average rate of change of f on the interval [2, 2+h]?

Mathematics
1 answer:
-Dominant- [34]3 years ago
3 0
-8h - 2h^2

f(2)-f(2+h) = -8h - 2h^2


Mark brainliest please
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Answer:

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Step-by-step explanation:

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Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec
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Given:

second term = 18

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The nth term of a geometric sequence is:

\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}

Hence, we have:

\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\  \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}

Divide the expression for the fifth term by the expression for the second term:

\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}

Substituting the value of r into any of the expression:

\begin{gathered} ar\text{ =  18} \\ a\text{ }\times\text{ 2 =  18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}

Hence, the explicit rule for the sequence is:

a_n\text{ = 9\lparen2\rparen}^{n-1}

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1 year ago
PLEASE HELP ME ON THIS IT IS GEOMETRY PLEASE HELP ME DO NOT WASTE MY ANSWERS PLEASE HELP ME
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25/12 is the answer

I hope it helps you

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