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·X= 36. A rectangular tank with a square base, an open top, and a volume of 108 ft³ is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. Lets be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective function. A= (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) The tank with the minimum surface area has a height of ft. ft and a square base with a sidelength of

·X= 36. A rectangular tank with a square base, an open top, and a volume of 108 ft³ is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. Lets be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective function. A= (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) The tank with the minimum surface area has a height of ft. ft and a square base with a sidelength of

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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Can you help me solve 36? Thank you!
To maximize the area of the pen, the sides perpendicular to the barn should be 25 parallel to the barn should be m long. (Type exact answers, using radicals as needed.) b. Let x be the length of the sides perpendicular to the barn and let L be the total length of fence needed. Write the objective function. L-5x+y L=5x+y 900=XTY L = 5 x + 900 / x (Type an expression.) Asxiy 900- xiy L=5x1900 900 = Y x=6√√5 Y= 3055 15-√5 A = (Type an expression.) 250=X m long and the side = The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation. Do not use commas in the individual endpoints.) (0,00) 7.4 900 = Y 4 The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) The tank with the minimum surface area has a height of ft. litemprod.pearsoncmg.com/api/v1/print/highered L = 5x + To minimize the amount of fence that must be used, each of the sides perpendicular to the barn should be 615 151572 m long and each of the sides parallel to the barn should be m long. (Type exact answers, using radicals as needed.) 6.615-675 ['= 5-900 X₁² -5=-20 x² = 18 >x=# 36. A rectangular tank with a square base, an open top, and a volume of 108 ft³ is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. ५०० X Lets be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective function. ft and a square base with a sidelength of
Transcribed Image Text:To maximize the area of the pen, the sides perpendicular to the barn should be 25 parallel to the barn should be m long. (Type exact answers, using radicals as needed.) b. Let x be the length of the sides perpendicular to the barn and let L be the total length of fence needed. Write the objective function. L-5x+y L=5x+y 900=XTY L = 5 x + 900 / x (Type an expression.) Asxiy 900- xiy L=5x1900 900 = Y x=6√√5 Y= 3055 15-√5 A = (Type an expression.) 250=X m long and the side = The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation. Do not use commas in the individual endpoints.) (0,00) 7.4 900 = Y 4 The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) The tank with the minimum surface area has a height of ft. litemprod.pearsoncmg.com/api/v1/print/highered L = 5x + To minimize the amount of fence that must be used, each of the sides perpendicular to the barn should be 615 151572 m long and each of the sides parallel to the barn should be m long. (Type exact answers, using radicals as needed.) 6.615-675 ['= 5-900 X₁² -5=-20 x² = 18 >x=# 36. A rectangular tank with a square base, an open top, and a volume of 108 ft³ is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area. ५०० X Lets be the length of one of the sides of the square base and let A be the surface area of the tank. Write the objective function. ft and a square base with a sidelength of
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