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CalculusSuperchallengeContextual Applications of Differentiation

Contextual Applications of Differentiation · Superchallenge problem

A 1010-m-long trough has an isosceles-triangle cross-section that is 11 m wide at the top and 0.50.5 m deep (apex at the bottom). Water fills it at 0.20.2 m3^3/min. How fast is the water level rising when the water is 0.30.3 m deep? Round to 3 decimal places (an exact answer is also accepted).