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A rectangular piece of cardboard is 4 times as long as it is wide. shorter side is y inches and an open box is constructed by cutting equal squares of side- length x inches from the corners of the piece of cardboard and turning up the sides as shown in the figure If the length of the Determine the volume, V, of the box as a function of x and y.

A rectangular piece of cardboard is 4 times as long as it is wide. shorter side is y inches and an open box is constructed by cutting equal squares of side- length x inches from the corners of the piece of cardboard and turning up the sides as shown in the figure If the length of the Determine the volume, V, of the box as a function of x and y.

Calculus: Early Transcendentals
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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Question
A rectangular piece of cardboard is 4 times as long as it is wide. shorter side is y inches and an open box is constructed by cutting equal squares of side- length x inches from the corners of the piece of cardboard and turning up the sides as shown in the figure If the length of the Determine the volume, V, of the box as a function of x and y.
Transcribed Image Text:A rectangular piece of cardboard is 4 times as long as it is wide. shorter side is y inches and an open box is constructed by cutting equal squares of side- length x inches from the corners of the piece of cardboard and turning up the sides as shown in the figure If the length of the Determine the volume, V, of the box as a function of x and y.
.2, 3 1. V(x, y) = 4.xy² + 10x²y+ 2x cu. ins 2. V(x, y) = 4xy² – 10z²y + 4x³ cu. ins - .2, 3. V(x, y) = 10xy? – 4x²y + 2x³ cu. ins 2 4. V(x, y) = 4xy? – 10x²y – 4x³ cu. ins - 5. V(r, y) = 10xy² + 4x²y – 4.x³ cu. ins 6. V(x, y) = 10xy² + 4x²y – 2x³ cu. ins -
Transcribed Image Text:.2, 3 1. V(x, y) = 4.xy² + 10x²y+ 2x cu. ins 2. V(x, y) = 4xy² – 10z²y + 4x³ cu. ins - .2, 3. V(x, y) = 10xy? – 4x²y + 2x³ cu. ins 2 4. V(x, y) = 4xy? – 10x²y – 4x³ cu. ins - 5. V(r, y) = 10xy² + 4x²y – 4.x³ cu. ins 6. V(x, y) = 10xy² + 4x²y – 2x³ cu. ins -
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