Which expression below gives the average rate of change of the function \( h(x)=\frac{1}{2}\left(3^{x+\frac{1}{2}}\right)+3 \) on the interval \( 0 \leq x \leq 3 \) ? \( \frac{\left[\frac{1}{2}\left(3^{3 \frac{1}{2}}\right)+3\right]-\left[\frac{1}{2}\left(3^{\frac{1}{2}}\right)+3\right]}{3} \) \( \frac{\left[\frac{1}{2}\left(3^{3^{\frac{1}{2}}}\right)+3\right]-\left[\frac{1}{2}\left(3^{\frac{1}{2}}\right)+3\right]}{-3} \) \( \frac{\left[\frac{1}{2}\left(3^{3 \frac{1}{2}}\right)+3\right]-\left[\frac{1}{2}\left(3^{3 \frac{1}{2}}\right)+3\right]}{3} \) \( \frac{\left[\frac{1}{2}\left(3^{3 \frac{1}{2}}\right)+3\right]+\left[\frac{1}{2}\left(3^{\frac{1}{2}}\right)+3\right]}{3} \)
Added by William H.
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Step 1: Identify the function \( h(x) = \frac{1}{2}\left(3^{x+\frac{1}{2}}\right) + 3 \). Show more…
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