A rectangular flower garden with an area of 42 m2 is surrounded by a grass border 1 m wide on two sides and a 2 m wide on the other two sides as shown in the figure. What dimensions of the garden minimize the combined area of the garden and borders? 2 m Flower garden 1 m Let h be the vertical height of the garden and let A be the total area of the garden and borders. Write the objective function. A =0 (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) m. The vertical height of the garden that will minimize the total area is (Type an exact answer, using radicals as needed.) The horizontal width of the garden that will minimize the total area is (Type an exact answer, using radicals as needed.) m.
A rectangular flower garden with an area of 42 m2 is surrounded by a grass border 1 m wide on two sides and a 2 m wide on the other two sides as shown in the figure. What dimensions of the garden minimize the combined area of the garden and borders? 2 m Flower garden 1 m Let h be the vertical height of the garden and let A be the total area of the garden and borders. Write the objective function. A =0 (Type an expression.) The interval of interest of the objective function is (Simplify your answer. Type your answer in interval notation.) m. The vertical height of the garden that will minimize the total area is (Type an exact answer, using radicals as needed.) The horizontal width of the garden that will minimize the total area is (Type an exact answer, using radicals as needed.) m.
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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Transcribed Image Text:A rectangular flower garden with an area of 42 m2 is surrounded by a
grass border 1 m wide on two sides and a 2 m wide on the other two
sides as shown in the figure. What dimensions of the garden
minimize the combined area of the garden and borders?
2 m
Flower garden
1 m
Let h be the vertical height of the garden and let A be the total area of the garden and borders. 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 vertical height of the garden that will minimize the total area is
(Type an exact answer, using radicals as needed.)
m.
The horizontal width of the garden that will minimize the total area is
(Type an exact answer, using radicals as needed.)
m.
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