height, and what is the maximum height? 82. Manufacturing A rain gutter with a rectangular cross-section is to be fabricated by bending up a flat piece of metal that is 18 feet long and 20 inches wide. The top of the gutter is open. a. Write an expression for the cross-sectional area in terms of x, the length of metal which is bent upwards. b. How much metal has to be bent upwards to maximize the cross- sectional area? What is the maximum cross-sectional area?

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height, and what is the maximum height?
82. Manufacturing A rain gutter with a rectangular cross-section is to be fabricated by bending up a flat
piece of metal that is 18 feet long and 20 inches wide. The top of the gutter is open.
a. Write an expression for the cross-sectional area in terms of x, the length of metal which is bent
upwards.
b. How much metal has to be bent upwards to maximize the cross- sectional area? What is the maximum
cross-sectional area?
Transcribed Image Text:height, and what is the maximum height? 82. Manufacturing A rain gutter with a rectangular cross-section is to be fabricated by bending up a flat piece of metal that is 18 feet long and 20 inches wide. The top of the gutter is open. a. Write an expression for the cross-sectional area in terms of x, the length of metal which is bent upwards. b. How much metal has to be bent upwards to maximize the cross- sectional area? What is the maximum cross-sectional area?
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