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Find the average rate of change of $k(x) = 10x^2 - 11$ between $x = 0$ and $x = h$ , where $h \neq 0$ . $\newline$ Simplify your answer. Your answer may be a number or an expression in terms of $h$ .

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Average rate of change II

Full solution

Q. Find the average rate of change of

k(x) = 10x^2 - 11

between

x = 0

and

x = h

, where

h \neq 0

.

\newline

Simplify your answer. Your answer may be a number or an expression in terms of

h

.

Find expression for $k(x)$ : First, we need to find the expression for $k(x)$ at $x = 0$ and $x = h$ .
Calculate average rate of change: Next, calculate the average rate of change of $k(x)$ from $x = 0$ to $x = h$ .
Simplify expression: Simplify the expression for the average rate of change.

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