Solution:** To find the rate of change of \( V(t)
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- Since time \( t \) is typically non-negative, we only consider the positive solution:
- \boxed{\frac{1 + \sqrt{46}}{3}}
- Question:** A volcanologist uses the formula \( V(t) = 4t^3 - 9t^2 + 6t + 10 \) to model the volume of volcanic ash in cubic meters at time \( t \) hours after an eruption. Find the rate of change of the volume at \( t = 2 \) hours.
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