(1) For each member of your group record their response to: Give an example of a polynomial and an expression involving z that is not a polynomial."

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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(1) For each member of your group record their response to: “ Give
an example of a polynomial and an expression involving x that
is not a polynomial."
(2) A box with no top is to be fashioned from an 18 inch x 24 inch
piece of cardboard by cutting out congruent squares from each
corner of the cardboard and then folding the resulting tabs. Let
x denote the length of the side of the square which is removed
from each corner. Determine a polynomial which gives the vol-
ume of the box as a function of x.
Use a plot of this polynomial to determine the optimal value
of x.
Transcribed Image Text:(1) For each member of your group record their response to: “ Give an example of a polynomial and an expression involving x that is not a polynomial." (2) A box with no top is to be fashioned from an 18 inch x 24 inch piece of cardboard by cutting out congruent squares from each corner of the cardboard and then folding the resulting tabs. Let x denote the length of the side of the square which is removed from each corner. Determine a polynomial which gives the vol- ume of the box as a function of x. Use a plot of this polynomial to determine the optimal value of x.
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