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(2) An open metal pan is to be made by cutting out squares of the same size from the corners of a rectangular piece of metal 14 inches by 18 inches and turning up the sides. a) Find a mathematical model expressing the volume of the pan as a function of the length of the side of the square cut out. b) What is the domain of your function in part (a)? c) Prove that the function is continuous on its domain.

(2) An open metal pan is to be made by cutting out squares of the same size from the corners of a rectangular piece of metal 14 inches by 18 inches and turning up the sides. a) Find a mathematical model expressing the volume of the pan as a function of the length of the side of the square cut out. b) What is the domain of your function in part (a)? c) Prove that the function is continuous on its domain.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(2) An open metal pan is to be made by cutting out squares of the same size from the corners of a rectangular piece of metal 14 inches by 18 inches and turning up the sides. a) Find a mathematical model expressing the volume of the pan as a function of the length of the side of the square cut out. b) What is the domain of your function in part (a)? c) Prove that the function is continuous on its domain.
Transcribed Image Text:(2) An open metal pan is to be made by cutting out squares of the same size from the corners of a rectangular piece of metal 14 inches by 18 inches and turning up the sides. a) Find a mathematical model expressing the volume of the pan as a function of the length of the side of the square cut out. b) What is the domain of your function in part (a)? c) Prove that the function is continuous on its domain.
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