The Sumeru Akademiya wants to manufacture Canned Knowledge in literal cylindrical cans that could contain 500cm³ worth of information. The material in the top and bottom of the can is made of Crystal Ores that cost 0.02 Mora (a unit of currency) per square centimeter. The material in the side is made up of Cor Lapis that would cost 0.01 Mora per square centimeter. a. Model a function that outputs the cost of production C in terms of r (the radius of the can) and h (the height of the can). b. Use the can volume to express in terms of r c. Use your answer in (b) to create a one-variable function for the cost as expressed as C(x) d. What is the type of function in (c)? What will be the domain of the function? ANSWER ALL FOR UPVOTE
The Sumeru Akademiya wants to manufacture Canned Knowledge in literal cylindrical cans that could contain 500cm³ worth of information. The material in the top and bottom of the can is made of Crystal Ores that cost 0.02 Mora (a unit of currency) per square centimeter. The material in the side is made up of Cor Lapis that would cost 0.01 Mora per square centimeter. a. Model a function that outputs the cost of production C in terms of r (the radius of the can) and h (the height of the can). b. Use the can volume to express in terms of r c. Use your answer in (b) to create a one-variable function for the cost as expressed as C(x) d. What is the type of function in (c)? What will be the domain of the function? ANSWER ALL FOR UPVOTE
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:The Sumeru Akademiya wants to manufacture Canned Knowledge in literal cylindrical cans that could contain
500cm³ worth of information. The material in the top and bottom of the can is made of Crystal Ores that cost
0.02 Mora (a unit of currency) per square centimeter. The material in the side is made up of Cor Lapis that
would cost 0.01 Mora per square centimeter.
a. Model a function that outputs the cost of production C in terms of r (the radius of the can) and h (the height
of the can).
b. Use the can volume to express in terms of r
c. Use your answer in (b) to create a one-variable function for the cost as expressed as C(x)
d. What is the type of function in (c)? What will be the domain of the function?
ANSWER ALL FOR UPVOTE
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