How I can make these applications of optimization of a few?
I'm stuck on a few (I am the study and practice) haha A rectangular large sheet of metal, 12 inches wide, is turned into a rain gutter to climb the two sides to be perpendicular to the blade. How many inches should be increased to give a ditch full capacity? If a box with a square base and an open top is to have a volume of 4 ft ^ 3, find the dimensions that require less material. (Neglect the thickness of the material and construction waste) *** I'm not sure if the process of the above could be applied to the next (if you do not answer) but here's another: A cylindrical metal container with an open top is to carry out 1 m ^ 3. Find the dimensions that require the least amount of material (no waste construction) Thanks!
The answer is, obviously, 6.02 x 10 ^ 23 ….
Optimization Practice Problem Optimizing a Rain Gutter – Calculus
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Fernco Storm Drain Trench & Driveway Channel 3-Pack $79.68 Fernco FSD-GP3G Storm Drain KitStorm Drain Contractor Pack: 3 pieces of Channel with Grey Grate, 1 End Cap & 1 End OutletFernco FSD-GP3G Storm Drain Kit Features:; Grates snap in and out, no screws required; Grates are concave to more efficiently trap & transfer water; Channel lengths are interlocking with a secure built-in joining system; Anti-floation feet secure Channels in back fill or concret… |
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GutterStuff EZ 5-Inch K Style Foam Gutter Filter Insert, 32-Feet $46.76 … |
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SAMPLE: LeafsOut Micro Mesh Gutter Guard. Stainless steel gutter cover shields out debris. 6 inch sample, fits 5 inch gutter. $2.00 The LeafsOut Gutter Protection System consists of three main components: a front anodized aluminum drip edge; a type 316 stainless steel V-Bend mesh filter mesh; and a water siphon control strip under the mesh. This type of gutter guard can be installed on various gutter types such as Ogee, half round, fascia, curved, box and many type of roofs such as asphalt shingle, wood shake, flat tile, Spani… |
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KRUD KUTTER GC32 Gutter Cleaner, 32-Ounce $7.96 A specially formulated cleaner to remove black streaks, dirt, mildew stains and more. Use on exterior metal, vinyl, plastic, and aluminum surfaces. Contains no bleach or ammonia so it is safe for people, pets, plants. It is enviromentally friendly with the water based, biodegradable, nontoxic, nonflammable formula. Exterior use only. Packaged in 32 oz. trigger spray bottle…. |
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Hanger Hidden Gutter Hanger Bag of 10 [Misc.] $5.99 “AMERIMAX” HIDDEN GUTTER HANGER *For 5″ aluminum gutter Ace Nos. 58069, & 58114 *Use 5 per 10 ft. of gutter *use with 2″ nails Ace No. 5031943 *Polybagged/10… |
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Gloss BLACK VINYL ROOF overlay decal car wrap 4ftx6ft $68.99 Qty: 1 Decal Size: 72 inches in length x 48 inches in height Black Vinyl Roof Overlay with Rain Gutter Strip Overlay! The rain strips come precut to cover the rain gutter strips on the roof. The precut strips for the gutters allow a much cleaner and professional installation! Size: 4ft x 6ft roof overlay and 2 strips that are 1.5″ x 6ft (email me for other sizes!) Color: Gloss Black We only suppl… |
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Gutter End Cap 5 BROWN ALUM END CAP LEFT $1.29 “LAMB & RITCHIE” ALUMINUM END CAP LEFT * Hand : Left |
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Owen Corning RF01 Rapid Flow Gutter Drainage Protection 5 x 4 (Pack of $86.25 Gutter drainage protection keeps leaves and debris from clogging while allowing water to flow freely…. |
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In The Gutter $11.98 In The Gutter |
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Universal Gutter Installation Clip for Hanging Rain Chains $25.89 Rain Chain Gutter Installation ClipItem #467PClip is flexible and can be easily bent to fit any gutterSimply squeeze and insert the gutter installation clip into your gutter and attach your rain chain right to the clipMaterials: AluminumDimensions: 7″L x 6″WNOTE: Gutter installation clip only – other accessories not included Type: Home Accents |
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Gutter Ballet $11.99 Track Listing: 1. Of Rage and War, 2. Gutter Ballet, 3. Temptation Revelation, 4. When the Crowds Are Gone, 5. Silk and Steel, 6. She’s in Love, 7. Hounds, 8. Unholy, The, 9. Mentally Yours, 10. Summer’s Rain, 11. Thorazine Shuffle – (bonus track) |
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Rain Harvesting Pty Ltd GSGO99 Gutter Outlets 3 in. Round $17.8 Gutter outlets when fitted in the conventional way (from top side of gutter) are a major cause of rubbish build up and gutter rust because a ridge is created obstructing water flow out of the gutter. The Rain Harvesting 3 Gutter Outlet fits from the underside of the gutter no obstruction so debris and fine particles wash out. Suits 3 round downspouts. |
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Momentive Performance Momentive Performance Gutter flashing Caulk GE50G.01 $6.45 Gutter/flashing caulk Silicone II gutter and flashing is a 100% silicone sealant that provides adhesion and premium performance, particularly in damp and wet environments 1 component, noncorrosive neutral cure silicone and may be suitable for use on a wide variety of materials Use on gutters, flashing, soffits, downspouts, and other construction applications Sealant contains BIOSEAL mold and mildew product protection guarding the cured sealant against mold and mildew It is supplied as a paste and upon cure produces a durable, formed-in-place long-lasting, silicone rubber seal Permanently waterproof 3 hour rain-ready can decrease the waiting time Sun/freeze proof The permanent flexibility of GE SIlicone II keeps it from breaking down under the sun’s UV rays and freezing temperatures 10.1 fl. oz. cartridge Not paintable Brand #: Momentive Performance GE50G.01 UPC: 077027045031 Keywords: gutter sealant waterproof silicone ii caulk flashing |
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Gutter $6 Gutter – Paper Route |
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Gutter – K’Wan – Paperback $10.91 Gutter |
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Savatage – Gutter Ballet $22.17 Track Listing: Of Rage And War Summer`s Rain Thorazine Shuffle – (bonus track) Gutter Ballet Temptation Revelation When The Crowds Are Gone Silk And Steel She`s In Love Hounds, The Unholy, The Mentally Yours |
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Aluminum Teardrop Rain Chain $162.14 Monarch's pure aluminum Teardrop Rain chain combines the unique essence of charm and durability. Made of high quality aluminum, this rain chain can handle moderate rainfall. Unique gutter attachmentMaterials: High quality aluminumDesign: 12 cups and 11 ringsEasy installationEach link measures 2.25 inches wideDimensions: 8.5 feet long |
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Good Directions 486V16 Umbrella Rain Chain Blue Verde $120.45 Let it rain Watching the rain trickle down the clever Umbrella Rain Chain makes one appreciate the rain. Originating hundreds of years ago in Japan rain chains act as linked funnels that are a decorative alternative to the cheerless gutter downspout. Rainwater playfully dances and flows down these handcrafted channels creating a delightful focal point for your outdoor enjoyment. Dementions: 72 L x 6 W. Unique decorative alternative to gutter downspout. Handcrafted in the old world style with superior workmanship. Durable copper and quality metal materials develop an attractive patina over time. Easy to install on any home comes with gutter installation clip. Finish: Blue Verde. |
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Glitter In The Gutter $7.49 Glitter In The Gutter |
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Gutter Pastoral $11.49 Gutter Pastoral |
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Gutter King $4.99 Gutter King |
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Gutter Tactics $9.99 Gutter Tactics |
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Truelove’s Gutter $6.49 Truelove’s Gutter |