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Calculate the gradient of this curve at the point where D = 0.25. b) Calculate the discharge which results in the largest average length of the fish. Give your answer rounded to 2 decimal places.

Calculate the gradient of this curve at the point where D = 0.25. b) Calculate the discharge which results in the largest average length of the fish. Give your answer rounded to 2 decimal places.

Calculus: Early Transcendentals
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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The discharge of water into a stream, D dm³/s, affects the growth of the fish in the stream. The average length of the fish, z cm, is modelled by the curve: z = -131D² +113D +23 a) b) c) Calculate the gradient of this curve at the point where D = 0.25. Calculate the discharge which results in the largest average length of the fish. Give your answer rounded to 2 decimal places. Calculate the maximum average length of the fish. Give your answer rounded to 2 decimal places.
Transcribed Image Text:The discharge of water into a stream, D dm³/s, affects the growth of the fish in the stream. The average length of the fish, z cm, is modelled by the curve: z = -131D² +113D +23 a) b) c) Calculate the gradient of this curve at the point where D = 0.25. Calculate the discharge which results in the largest average length of the fish. Give your answer rounded to 2 decimal places. Calculate the maximum average length of the fish. Give your answer rounded to 2 decimal places.
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