You are asked to build an open cylindrical can (i.e. no top) that will hold 171.5 cubic inches. To do this, you will cut its bottom from a square of metal and form its curved side by bending a rectangular sheet f metal. (b) Find A '(r) = (a) Express the total amount of material required for the square and the rectangle in terms of r. A(r) = 27 (c) Find the non-zero critical point of A(r). r= -Select-- v h

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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You are asked to build an open cylindrical can (i.e. no top) that will hold 171.5 cubic inches. To do this, you will cut its bottom from a square of metal and form its curved side by bending a rectangular sheet of metal.
(b) Find A '(r) =
(a) Express the total amount of material required for the square and the rectangle in terms of r.
A(r) =
2πr
(c) Find the non-zero critical point of A(r).
r =
--Select---
h
Transcribed Image Text:You are asked to build an open cylindrical can (i.e. no top) that will hold 171.5 cubic inches. To do this, you will cut its bottom from a square of metal and form its curved side by bending a rectangular sheet of metal. (b) Find A '(r) = (a) Express the total amount of material required for the square and the rectangle in terms of r. A(r) = 2πr (c) Find the non-zero critical point of A(r). r = --Select--- h
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