(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.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.5: Systems Of Inequalities
Problem 9ECP
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ANSWER ONLY NO.2 (A,B,C) THANK YOU SO MUCHHH!! ☺️
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more than 3 kg, Php100.00 per kg for order that is more than 3 kg but less than 6 kg and
Php90.00 per kg if the order is at least 6 kg.
a) Find a mathematical model expressing the total cost C of buying lanzones as a
function of its mass in kilograms x.
b) Determine the number for which the function is discontinuous and show
which of the conditions in the definition of continuity is not satisfied.
c) What is the significance of the numbers for which the function is discontinuous
in the given situation?
(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.
pyright @2021. All rights reserved. No part of this document may be reproduced in any form or by any electronic or mechanical means, inclu
MSTAR etorana and retrioval evetameiArithout nermiccion in writing from the aithor evrent hu reriaAore Aho mavaLnta hriet naceana in a ra
Transcribed Image Text:Home Insert Comment Edit Page Protect Tools 170% v Q O A a DAOO Rotate 1/3 Auto Scroll- Read Mode Background Screen Grab Search Highlight Note Annotate more than 3 kg, Php100.00 per kg for order that is more than 3 kg but less than 6 kg and Php90.00 per kg if the order is at least 6 kg. a) Find a mathematical model expressing the total cost C of buying lanzones as a function of its mass in kilograms x. b) Determine the number for which the function is discontinuous and show which of the conditions in the definition of continuity is not satisfied. c) What is the significance of the numbers for which the function is discontinuous in the given situation? (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. pyright @2021. All rights reserved. No part of this document may be reproduced in any form or by any electronic or mechanical means, inclu MSTAR etorana and retrioval evetameiArithout nermiccion in writing from the aithor evrent hu reriaAore Aho mavaLnta hriet naceana in a ra
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