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A can for mandarin oranges is a cylinder enclosing a total volume of 250 cubic centimeters. The radius of the can is r and the height is h. The side s is made of aluminum which costs $a per cm². The top and bottom of the can are thicker and so the material for the top and bottom costs twice as much as for the side. Find the dimensions of the cheapest container. Show all your work.

A can for mandarin oranges is a cylinder enclosing a total volume of 250 cubic centimeters. The radius of the can is r and the height is h. The side s is made of aluminum which costs $a per cm². The top and bottom of the can are thicker and so the material for the top and bottom costs twice as much as for the side. Find the dimensions of the cheapest container. Show all your work.

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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Question
Please solve Q5
(a) At what value(s) of t does the function f has critical point(s)? (b) On what open interval(s), the function f is decreasing. (c) At what t value(s) does the function f has local minimum point(s)? (d) On what open interval does the graph of f concave down on? (e) At what t values does the graph of f has inflection point(s)? Q5 A can for mandarin oranges is a cylinder enclosing a total volume of 250 cubic centimeters. The radius of the can is r and the height is h. The side s is made of aluminum ich costs $a per cm². The top and bottom of the can are thicker and so the material for the top and bottom costs twice as much as for the side. Find the dimensions of the cheapest container. Show all your work. Q6 A box is as shown by the figure below. Find a so that the volume is maximized. cut
Transcribed Image Text:(a) At what value(s) of t does the function f has critical point(s)? (b) On what open interval(s), the function f is decreasing. (c) At what t value(s) does the function f has local minimum point(s)? (d) On what open interval does the graph of f concave down on? (e) At what t values does the graph of f has inflection point(s)? Q5 A can for mandarin oranges is a cylinder enclosing a total volume of 250 cubic centimeters. The radius of the can is r and the height is h. The side s is made of aluminum ich costs $a per cm². The top and bottom of the can are thicker and so the material for the top and bottom costs twice as much as for the side. Find the dimensions of the cheapest container. Show all your work. Q6 A box is as shown by the figure below. Find a so that the volume is maximized. cut
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