Consider average rates \( \mathrm{r}_{\mathrm{av} 1} \) and \( r_{\...
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Consider average rates \( \mathrm{r}_{\mathrm{av} 1} \) and \( r_{\mathrm{av} 2} \) of change in \( \mathrm{y} \) with respect to \( \mathrm{x} \) in intervals \( 0 \leq \mathrm{x} \leq 4 \)
\( \mathrm{P} \) and \( 1 \leq x \leq 3 \) and instantaneous rate \( r_{2} \) of
W change in \( y \) with respect to \( x \) at \( x=2 \) for a function \( y=x^{2} \). Which of the following statements is true?
(1) \( \mathrm{r}_{\mathrm{av} 1}\mathrm{r}_{\mathrm{av} 2}\mathrm{r}_{2} \)
(2) \( \mathrm{r}_{\text {av } 1}\mathrm{r}_{\text {av2 }}\mathrm{r}_{2} \)
(3) \( \mathrm{r}_{2}\mathrm{r}_{\mathrm{av1}}\mathrm{r}_{\mathrm{av} 2} \)
(4) \( r_{a v 1}=r_{a v 2}=r_{2} \)
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