CAL1.87 Related Rates Setup and Solution
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A rectangular prism has side lengths x = 2, y = 3, and h = 6, so its space diagonal z satisfies z2 = x2 + y2 + h2. The rates are dx/dt = 1, dy/dt = 2, and dh/dt = -1. Which option gives the correctly differentiated equation and dz/dt?