84 please XRevathi Narasimhan, College Alge X X Revathi Narasimhan, College Alge X← → C ✰ xyztextbooks.com/ebook/title/reva_caE CONTENTS72°FClearCATALOG+SECTION: 3.1a. Sketch a graph of h.b. When will the ball reach its maximum height, and what is the maximum height?20-2xPAGE 24084. Manufacturing A rain gutter with a rectangular cross-section is to be fabricated by bending up aflat 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 isbent upwards.b. How much metal has to be bent upwards to maximize the cross-sectional area? What is themaximum cross-sectional area?Use the information below to work Exercises 85 and 86.The quadratic function p(x) = -0.387(x-45)² +2.73(x45) - 3.89 gives the percentage (indecimal form) of puffin eggs that hatch during a breeding season in terms of x, the mean sea surfacetemperature of the surrounding area, in degrees Fahrenheit.(Source: Gjerdum et al., "Tufted puffin reproduction reveals ocean climate variability,"Proceedings of the National Academy of Sciences, August 2003.)85. Ecology What is the percent e of puffin eggs that will hatch at 49°F? At 47°F?86. Ecology For what mean temperature is the percentage of hatched puffin eggs a maximum? Findthe percentage of hatched eggs at this temperature.aCCVIDEOSMr. Hampton▶ PlayBOOKSHELFSUPPLEMENTSm(x) = -0.0108X² +0.981 X + 8.0530-b) mileage 35mphm(35) =-0.0108(35)² +15-0.98 (39)+8.05 19.29.2 mpg20.CCmaximum, using a graphing utility.Shelby▶ Play5hat speed is mileage at a maximumV=(45.5, 30.4)PROGRESS0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75CCBreylor▶ PlayESm(x)-0:00Math1xTOOLS IIIссCCJulieta▶ Play[]españolX8:53 PM10/20/202220

Question

84 please XRevathi Narasimhan, College Alge X X Revathi Narasimhan, College Alge X← → C ✰ xyztextbooks.com/ebook/title/reva_caE CONTENTS72°FClearCATALOG+SECTION: 3.1a. Sketch a graph of h.b. When will the ball reach its maximum height, and what is the maximum height?20-2xPAGE 24084. Manufacturing A rain gutter with a rectangular cross-section is to be fabricated by bending up aflat 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 isbent upwards.b. How much metal has to be bent upwards to maximize the cross-sectional area? What is themaximum cross-sectional area?Use the information below to work Exercises 85 and 86.The quadratic function p(x) = -0.387(x-45)² +2.73(x45) - 3.89 gives the percentage (indecimal form) of puffin eggs that hatch during a breeding season in terms of x, the mean sea surfacetemperature of the surrounding area, in degrees Fahrenheit.(Source: Gjerdum et al., &#34;Tufted puffin reproduction reveals ocean climate variability,&#34;Proceedings of the National Academy of Sciences, August 2003.)85. Ecology What is the percent e of puffin eggs that will hatch at 49°F? At 47°F?86. Ecology For what mean temperature is the percentage of hatched puffin eggs a maximum? Findthe percentage of hatched eggs at this temperature.aCCVIDEOSMr. Hampton▶ PlayBOOKSHELFSUPPLEMENTSm(x) = -0.0108X² +0.981 X + 8.0530-b) mileage 35mphm(35) =-0.0108(35)² +15-0.98 (39)+8.05 19.29.2 mpg20.CCmaximum, using a graphing utility.Shelby▶ Play5hat speed is mileage at a maximumV=(45.5, 30.4)PROGRESS0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75CCBreylor▶ PlayESm(x)-0:00Math1xTOOLS IIIссCCJulieta▶ Play[]españolX8:53 PM10/20/202220

Accepted Answer

Given: Length of the rectangular region is 18 feet.
           Width of the rectangular region is…