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57. The velocity of a wave of length L in deep water is L C v = K C L where K and C are known positive constants. What is the length of the wave that gives the minimum velocity?

57. The velocity of a wave of length L in deep water is L C v = K C L where K and C are known positive constants. What is the length of the wave that gives the minimum velocity?

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 11E: A Troublesome Snowball One winter afternoon, unbeknownst to his mom, a child bring a snowball into...
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57. The velocity of a wave of length L in deep water is L v = K. L where K and C are known positive constants. What is the length of the wave that gives the minimum velocity? 58. A metal storage tank with volume V is to be constructed in the shape of a right circular cylinder surmounted by a hemi- sphere. What dimensions will require the least amount of metal? 9. A model used for the yield Y of an agricultural crop as a func- tion of the nitrogen level Nin the soil (measured in appropriate units) is kN Y = 1 + N where k is a positive constant. What nitrogen level gives the best yield?
Transcribed Image Text:57. The velocity of a wave of length L in deep water is L v = K. L where K and C are known positive constants. What is the length of the wave that gives the minimum velocity? 58. A metal storage tank with volume V is to be constructed in the shape of a right circular cylinder surmounted by a hemi- sphere. What dimensions will require the least amount of metal? 9. A model used for the yield Y of an agricultural crop as a func- tion of the nitrogen level Nin the soil (measured in appropriate units) is kN Y = 1 + N where k is a positive constant. What nitrogen level gives the best yield?
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