A civil engineer has been asked to design a drainage system to reduce flood damage during the rainy reason. She produced a fancy design with a triangular cross section as shown in Figure 2. Two months after the structure was completed, there was a heavy rainfall and water gushed into the drain at the rate of 5m3/s. If the drain is 10m deep, 50m long and 8m wide across the top, at what rate is the depth of the water increasing at the instant that the water depth is 6m?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A civil engineer has been asked to design a drainage system to reduce flood
damage during the rainy reason. She produced a fancy design with a triangular cross
section as shown in Figure 2. Two months after the structure was completed, there was
a heavy rainfall and water gushed into the drain at the rate of 5m3/s. If the drain is
10m deep, 50m long and 8m wide across the top, at what rate is the depth of the water
increasing at the instant that the water depth is 6m?

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