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Home » The derivative \( f'(x) = rac-5(x - 1)^2 \) is always negative for all \( x - Crosslake

The derivative \( f'(x) = rac-5(x - 1)^2 \) is always negative for all \( x - Crosslake

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Mar 01, 2026

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\[ c = \sqrt{225} \]
\[ c = 15 \]
The length of the hypotenuse is 15 cm.
A train travels 150 miles at 50 mph, then another 200 miles at 75 mph....
The time \( t_1 \) for the first segment is:
\[ t_1 = \frac{150 \, \text{miles}}{50 \, \text{mph}} = 3 \, \text{hou...
The time \( t_2 \) for the second segment is:
\[ t_2 = \frac{200 \, \text{miles}}{75 \, \text{mph}} \approx 2.67 \,...
The total travel time is:
\[ t_{\text{total}} = t_1 + t_2 = 3 + 2.67 = 5.67 \, \text{hours} \]

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