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)

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...
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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
こ.…
s'=4Tr -276.46 01brZ
%3D
•..
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
......
• . ..
this Ge cause...
Transcribed Image Text: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 こ.… s'=4Tr -276.46 01brZ %3D •.. 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 ...... • . .. 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)
Transcribed Image Text: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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