You must analyze the product's current dimensions and determine the measurements that would optimize it: meaning the same volume with minimal surface area. Your report to the company must contain the following elements: O work that shows how to find the current volume and surface area of the product (1 point) O proof using the first derivative to find the minimal surface area (2 points) O dimensions and surface area of the optimal product (1 point) O graph(s) with the function and the first derivative (1 point) O written explanation that clarifies the algebraic work and graph (2 points) O work that shows how much percent less packaging material would be used (1 point)

You must analyze the product's current dimensions and determine the measurements that would optimize it: meaning the same volume with minimal surface area. Your report to the company must contain the following elements: O work that shows how to find the current volume and surface area of the product (1 point) O proof using the first derivative to find the minimal surface area (2 points) O dimensions and surface area of the optimal product (1 point) O graph(s) with the function and the first derivative (1 point) O written explanation that clarifies the algebraic work and graph (2 points) O work that shows how much percent less packaging material would be used (1 point)

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 help with this problem. I need to optimize a soda can that has a radius of 1.05 inches and a height of 4.5 inches.

Optimiany Oualtine
Ovaltine
Curent Ud uwe =V=p2h...
Cureut Surtace Are a =S=2TTrz+2rrh=...
h=11
www.
138.23008= Tr 24
138.2300
....
=ん
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s'=4Tr -276.46 01brZ
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•..
0=4r -276.46016
2. 802=r
ん=5604
Optnal Surface Area =
% lew packengings..
...
•..
In ovel or to find the nininne
the first denivrative
be caule
the graphs rettet
......
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this Ge cause...

You must analyze the product's current dimensions and determine the measurements that would optimize it:
meaning the same volume with minimal surface area.
Your report to the company must contain the following elements:
O work that shows how to find the current volume and surface area of the product (1 point)
O proof using the first derivative to find the minimal surface area (2 points)
O dimensions and surface area of the optimal product (1 point)
O graph(s) with the function and the first derivative (1 point)
O written explanation that clarifies the algebraic work and graph (2 points)
O work that shows how much percent less packaging material would be used (1 point)

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