Can you show me Number 5 with all steps? The question is in the first photo. Thank you! Page of 2+ZOOMThe stories you are about to read about your classmates are true; only the names havebeen changed to protect the innocent. For each of the stories encountered below you willneed to:a) Draw a diagram with all relevant constants and variables labelled.b) Write a function expressing the quantity to be minimized/maximizedfunction of oneasaother variable. Show all the work required toderive thisformula.c) State the domain of the function covering all possible configurationsyour problem.ford) Compute the derivative and determine all critical points of thefunction.e) Analyze allminimum/maximum.criticalpointsandendpointstodeterminethe1) To relieve stress from doing homework problems, Julie has taken up gardening. Shehas designed her garden plot in the shape of a circular sector with radius R and angle 0.Based on the amount of vegetables she wants to grow, Julie has determined the gardenshould have an area of 30 square feet. She needs to build an electric fence around theperimeter to keep Joe out of the tomatoes. Find the dimensions R and 0 which willminimize the length of fence Julie will need to build.2) Elizabeth is fed up with AJ's jokes and decides to make him wear a dunce cap incalculus class. She starts out with a paper circle of radius 12 inches and Luke suggestsmaking the hat as large as possible for optimal humiliation effect. To do this, Elizabethcuts out a sector with angle $ and tapes together the resulting edges to form the cone.Find the magnitude of ø so that the volume of the AJ's dunce cap is maximized.сарсар3) Dan and Mike finished their Calculus Lab early and are enjoying the afternoon atHorsetooth Reservoir, but soon get into an argument. Dan pushes Mike off of their"Little Mermaid" floaty 200 feet from shore and paddles off. The icy cold water hasmomentarily made Mike forget he is a really good swimmer. Teri is at a point 200 feet Page

Question

Can you show me Number 5 with all steps? The question is in the first photo. Thank you! Page <1>of 2+ZOOMThe stories you are about to read about your classmates are true; only the names havebeen changed to protect the innocent. For each of the stories encountered below you willneed to:a) Draw a diagram with all relevant constants and variables labelled.b) Write a function expressing the quantity to be minimized/maximizedfunction of oneasaother variable. Show all the work required toderive thisformula.c) State the domain of the function covering all possible configurationsyour problem.ford) Compute the derivative and determine all critical points of thefunction.e) Analyze allminimum/maximum.criticalpointsandendpointstodeterminethe1) To relieve stress from doing homework problems, Julie has taken up gardening. Shehas designed her garden plot in the shape of a circular sector with radius R and angle 0.Based on the amount of vegetables she wants to grow, Julie has determined the gardenshould have an area of 30 square feet. She needs to build an electric fence around theperimeter to keep Joe out of the tomatoes. Find the dimensions R and 0 which willminimize the length of fence Julie will need to build.2) Elizabeth is fed up with AJ's jokes and decides to make him wear a dunce cap incalculus class. She starts out with a paper circle of radius 12 inches and Luke suggestsmaking the hat as large as possible for optimal humiliation effect. To do this, Elizabethcuts out a sector with angle $ and tapes together the resulting edges to form the cone.Find the magnitude of ø so that the volume of the AJ's dunce cap is maximized.сарсар3) Dan and Mike finished their Calculus Lab early and are enjoying the afternoon atHorsetooth Reservoir, but soon get into an argument. Dan pushes Mike off of their&#34;Little Mermaid&#34; floaty 200 feet from shore and paddles off. The icy cold water hasmomentarily made Mike forget he is a really good swimmer. Teri is at a point 200 feet Page <2of 2ZOOM+4) Rachel and Mark are on a roadtrip. Just when they think they can't take being in thecar with each other any longer, they see a billboard advertisingHave your picture taken with the buffaloat Cory & June'sHexaflexagon Mega-WarehouseThe sign is 15 feet wide, perpendicular to a straight road, and 20 feet from the road.Rachel decides to snap a picture of the sign to take back to show everyone in calculusclass. At what point on the road would Rachel have the best view of the billboard asthey drive by? That is, at what point on the road is the angle subtended by the billboarda maximum? Is the pair tempted to take the 30-mile detour for the photo-op?5) Tim and Miguel went to a fortune-teller at the state fair who tipped them off that theirnext calculus exam would have a problem involving ladders sliding down a wall. Cindysuggests they should replicate this in real life to gain an advantage on the rest of theclass, so they all decide to bring a long ladder into their dorm. Tim further adds that theyshould use as long of a ladder as possible for an optimal experience. Cindy points outthe problem that they must maneuver the ladder through a right-angle turn where thehallway constricts from 8 feet down to 5 feet wide. What is the longest ladder the triocan carry horizontally around the corner?---------

Accepted Answer

Answered: Image /qna-images/answer/c80d4996-3928-4742-9cb8-42f0388d6204.jpg