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Please neatly answer the red outlined box and circle the answer thank you

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please neatly answer the red outlined box and circle the answer thank you
The top and bottom margins of a poster are 6 ft and the side margins are each 8 ft. If the area of printed material on the poster is fixed at 390 square ft, find the dimensions of the poster with the smallest area. printed material Part 1: Let x be the width and y the height of the printed material. Find the area of the printed material as a function of x and y. a(x, y) =| xy Part 2: Find the total area of this poster. A(x, y) =| (x+16) (y+ 12) Part 3: Find y as a function of x, using the given value of the area of the printed material. 390 Part 4: Rewrite the total area of this poster as a function of x. A(x) =| Part 5: Find the derivative of the total area of this poster as a function of x. Part 6: Find the x and y values that minimize the total area of the poster.
Transcribed Image Text:The top and bottom margins of a poster are 6 ft and the side margins are each 8 ft. If the area of printed material on the poster is fixed at 390 square ft, find the dimensions of the poster with the smallest area. printed material Part 1: Let x be the width and y the height of the printed material. Find the area of the printed material as a function of x and y. a(x, y) =| xy Part 2: Find the total area of this poster. A(x, y) =| (x+16) (y+ 12) Part 3: Find y as a function of x, using the given value of the area of the printed material. 390 Part 4: Rewrite the total area of this poster as a function of x. A(x) =| Part 5: Find the derivative of the total area of this poster as a function of x. Part 6: Find the x and y values that minimize the total area of the poster.
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