For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 38 in.3 and is constructed using the least amount of metal. Let r and h (in in.) be the radius and height of the container, respectively. r = in. (Round your answer to two decimal places, if necessary.) Complete the following parts. (a) Give a function f in the variable r for the quantity to be optimized. f(r) = (b) State the domain of this function. (Enter your answer using interval notation.) (c) Give the formula for h in terms of r
For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 38 in.3 and is constructed using the least amount of metal. Let r and h (in in.) be the radius and height of the container, respectively. r = in. (Round your answer to two decimal places, if necessary.) Complete the following parts. (a) Give a function f in the variable r for the quantity to be optimized. f(r) = (b) State the domain of this function. (Enter your answer using interval notation.) (c) Give the formula for h in terms of r
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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For its beef stew, Betty Moore Company uses aluminum containers that have the form of right circular cylinders. Find the radius and height of a container if it has a capacity of 38 in.3 and is constructed using the least amount of metal.
Let r and h (in in.) be the radius and height of the container, respectively.
r = in. (Round your answer to two decimal places, if necessary.)
Complete the following parts.
(a) Give a function f in the variable r for the quantity to be optimized.
f(r) =
(b) State the domain of this function. (Enter your answer using interval notation.)
(c) Give the formula for h in terms of r.
h =
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