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3. The sides of the base of a rectangular cardboard shoe box are 3x and 2x cm respectively. The height is y cm. The box is open on the top (without a lid at this stage). (a) If the total surface area of the box is 200 cm² , prove that ст 20 y% = 3x 5 y Express the volume of the box in terms of x. (c) (b) 2x Determine the dimensions of the rectangular cardboard box if its volume is to be a maximum. 3x

3. The sides of the base of a rectangular cardboard shoe box are 3x and 2x cm respectively. The height is y cm. The box is open on the top (without a lid at this stage). (a) If the total surface area of the box is 200 cm² , prove that ст 20 y% = 3x 5 y Express the volume of the box in terms of x. (c) (b) 2x Determine the dimensions of the rectangular cardboard box if its volume is to be a maximum. 3x

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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(a) (b) express h in terms of x. express the total surface area of each brick in terms of x. calculate the dimensions of a brick which will minimize the amount of paint required. (c) The sides of the base of a rectangular cardboard shoe box are 3x and 2x cm respectively. The height is y cm. The box is open on the top (without a lid at this stage). (a) If the total surface area of the box is 200 cm², 20 3x ст prove that y Express the volume of the box in terms of x. (b) 2x (c) Determine the dimensions of the 3x rectangular cardboard box if its volume is to be a maximum.
Transcribed Image Text:(a) (b) express h in terms of x. express the total surface area of each brick in terms of x. calculate the dimensions of a brick which will minimize the amount of paint required. (c) The sides of the base of a rectangular cardboard shoe box are 3x and 2x cm respectively. The height is y cm. The box is open on the top (without a lid at this stage). (a) If the total surface area of the box is 200 cm², 20 3x ст prove that y Express the volume of the box in terms of x. (b) 2x (c) Determine the dimensions of the 3x rectangular cardboard box if its volume is to be a maximum.
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