Two numbers greater than zero add up to 6. Find the numbers so that the product of the first number and the square of the second number is maximum.

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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I need both parts handwritten it's one question only i swear if you do only one part dislike is for sure otherwise if done both I'll like
wwwSolve the following optimization problems:
Two numbers greater than zero add up to 6. Find the numbers so that the product of
the first number and the square of the second number is maximum.
1.
ii.
A horse corral is rectangular, with fencing around the perimeter. Also, there is a
straight internal fence, parallel to the sides. The internal fence splits the corral into 2
equal areas. The total area of the corral is 9600 square metres. The owner wishes to
minimize the amount of fencing required. What are the optimum dimensions of the
corral?
Transcribed Image Text:wwwSolve the following optimization problems: Two numbers greater than zero add up to 6. Find the numbers so that the product of the first number and the square of the second number is maximum. 1. ii. A horse corral is rectangular, with fencing around the perimeter. Also, there is a straight internal fence, parallel to the sides. The internal fence splits the corral into 2 equal areas. The total area of the corral is 9600 square metres. The owner wishes to minimize the amount of fencing required. What are the optimum dimensions of the corral?
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