Inscribed First
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Inscribed First
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 Anatomy of a Massacre Lubys Cafeteria Killings INSCRIBED Jason Karpf HC DJ 1st $30.00 Time Remaining: 1h 41m |
 Infinite Jest by David Foster Wallace Signed Inscribed First Edition $1,499.00 Time Remaining: 27d 20h 36m Buy It Now for only: $1,499.00 Buy It Now |
 Dismay Eric Maisel Inscribed SIGNED 1st printing trade paperback pb 1982 First $15.00 Time Remaining: 1h 41m |
 Danse Macabre by Stephen King INSCRIBED TO ACTOR SINGER RICK SPRINGFIELD1ST ED $600.00 Time Remaining: 24d 19h 9m Buy It Now for only: $600.00 Buy It Now |
 Off Center INSCRIBED William Sette trade paperback 1st printing SIGNED 1994 pb $14.50 Time Remaining: 1h 41m |
 Third Way INSCRIBED Jean Warmbold HC DJ 1st printing SIGNED 1990 Hardcover First $19.50 Time Remaining: 1h 42m |
 IT A NOVEL 1986 UNIQUELY INSCRIBED SIGNED by STEPHEN KING 1ST ED 5TH PRINT $295.00 Time Remaining: 13d 2h 59m Buy It Now for only: $295.00 Buy It Now |
 Creek Walk INSCRIBED Molly Giles HC DJ 1st printing Hardcover First edition 1996 $15.00 Time Remaining: 1h 42m |
 1979Richard S DruryMy Secret War 1st Ed HB w dc INSCRIBED SIGNED BY AUTHOR $25.00 Time Remaining: 23d 6m Buy It Now for only: $25.00 Buy It Now |
 Favorite Songs INSCRIBED Michael Rothenberg trade paperback first pb 1st 1990 $14.50 Time Remaining: 1h 44m |
 Heart of the Fire Inscribed SIGNED 1st printing trade pb Cerridwen Fallingstar $15.00 Time Remaining: 1h 46m |
 The Conquerors by Allan W Eckert INSCRIBED FIRST EDITION $50.00 Time Remaining: 21d 17h 27m Buy It Now for only: $50.00 Buy It Now |
 Future White Men inscribed SIGNED Joan Steinau Lester HC DJ 1st printing HB 1994 $7.50 Time Remaining: 1h 46m |
 Bound For Glory by Woody Guthrie Inscribed and Signed in 1943 1st Ed in Dj $10,000.00 Time Remaining: 13d 17h 51m Buy It Now for only: $10,000.00 Buy It Now |
 John Houseman RUN THROUGH 1st HC DJ INSCRIBED $74.99 Time Remaining: 1h 47m |
 Ask Me Now INSCRIBED to Jack Micheline by Al Young HC DJ 1st printing HB First $45.00 Time Remaining: 1h 48m |
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 City Dogs INSCRIBED William Brashler HC DJ 1st printing Hardcover First SIGNED $15.00 Time Remaining: 1h 49m |
 RAND Ayn The Fountainhead Inscribed 1st Edition $19,500.00 Time Remaining: 4d 17h 25m Buy It Now for only: $19,500.00 Buy It Now |
 Fishermans Son INSCRIBED Michael Koepf HC DJ 1st printing 1998 Hardcover First $9.50 Time Remaining: 1h 55m |
 Richard Stark COMEBACK 1st HC w DJ PARKER Novel INSCRIBED $99.99 Time Remaining: 1h 55m |
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 My Life as a Gal INSCRIBED Alice Kahn HC DJ 1st printing SIGNED Hardcover First $10.50 Time Remaining: 1h 56m |
 The First Eagle SIGNED and Inscribed Tony Hillerman 1st 1st 1998 $29.59 Time Remaining: 17d 16h 57m Buy It Now for only: $29.59 Buy It Now |
 Guide Dog INSCRIBED Dorothy Clewes HC DJ 1st printing SIGNED Hardcover 1965 HB $15.00 Time Remaining: 1h 57m |
 Brother and Sister INSCRIBED Joanna Trollope HC DJ 1st printing Hardcover First $15.00 Time Remaining: 2h |
 Letters from Samoa Life Love and Lore of the Manua Islands inscribed 1st $56.24 Time Remaining: 7d 3h 54m Buy It Now for only: $56.24 Buy It Now |
 Smokes INSCRIBED Susan Wheeler Trade paperback pb 1st printing 1998 First ed $15.00 Time Remaining: 2h |
 With Harp Lute by Blanche Jennings Thompson 1935 1st ed SIGNED INSCRIBED $40.00 Time Remaining: 29d 15h 35m Buy It Now for only: $40.00 Buy It Now |
 The Bosss Wife INSCRIBED SL Stebel HC DJ 1st printing SIGNED Hardcover First $14.50 Time Remaining: 2h 5m |
 American Pride INSCRIBED Diana Rosen SIGNED trade paperback 1st printing 2001 pb $14.50 Time Remaining: 2h 8m |
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 Solar Encounters Inscribed SIGNED Marianne Dubois HC 1st hardcover HB First 1996 $25.00 Time Remaining: 2h 8m |
 God Man and Yale by William Buckley Inscribed and Signed 1st Ed in Dj 1951 $1,000.00 Time Remaining: 13d 14h 24m Buy It Now for only: $1,000.00 Buy It Now |
 Philosophy of Love Inscribed SIGNED Bob Fuller HC DJ 1st printing Hardcover HB $15.00 Time Remaining: 2h 8m |
 Iron Shoes INSCRIBED Molly Giles HC DJ 1st printing Hardcover First edition 2000 $15.00 Time Remaining: 2h 9m |
 Stone Song by Win Blevins Inscribed First Edition $19.99 Time Remaining: 20d 23h 40m Buy It Now for only: $19.99 Buy It Now |
 A CANTERBURY PILGRIMAGE 1st EdAutographed Inscribed by Elizabeth Robins Pennell $199.95 Time Remaining: 2h 19m |
 Harold Robbins THE DREAM MERCHANTS 1st 1st INSCRIBED $49.95 Time Remaining: 15d 13h 47m Buy It Now for only: $49.95 Buy It Now |
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 Garish Days inscribed SIGNED Lynn Caraganis HC DJ 1st printing HB hardcover $15.00 Time Remaining: 17h 35m |
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 Water Executives Expertease INSCRIBED Ken Anderson ed HC DJ 1st First Edition $10.00 Time Remaining: 17h 37m |
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 Healing Power of Anger Unexpected Path to Love INSCRIBED John Rifkin pb 1st 2004 $14.50 Time Remaining: 17h 39m |
 Herb Ritts Pictures INSCRIBED SIGNED FIRST EDITION $450.00 Time Remaining: 11d 20h 17m Buy It Now for only: $450.00 Buy It Now |
 Daughter INSCRIBED Lois Silverstein pb 1st printing SIGNED 2002 trade paperback $15.00 Time Remaining: 17h 40m |
 Manhattan 45 by Jan Morris Near Fine 1st Inscribed Signed $25.00 Time Remaining: 6d 12h 33m Buy It Now for only: $25.00 Buy It Now |
 Oasis INSCRIBED Signed Jose Luis Parada 1994 trade paperback pb 1st First $15.00 Time Remaining: 17h 41m |
 Devils Card INSCRIBED Mary Maher HC DJ 1st US printing HB Hardcover SIGNED $12.50 Time Remaining: 17h 42m |
 The Magistrate by Ernest K Gann Inscribed 1st Edition $40.00 Time Remaining: 19d 21h Buy It Now for only: $40.00 Buy It Now |
 Measurable World INSCRIBED Katharine Coles HC DJ 1st printing HB Hardcover First $17.50 Time Remaining: 17h 44m |
 Vanished Fleets AJ Villiers 1st ed Inscribed DJ VG VG 1931 Tasmania $24.99 Time Remaining: 20d 16m Buy It Now for only: $24.99 Buy It Now |
 Honor and Duty INSCRIBED Gus Lee HC DJ 1st printing 1994 First hardcover First $12.50 Time Remaining: 17h 44m |
 Living the Truth INSCRIBED Alan Jones Trade pb 1st SIGNED Paperback First 2000 $12.50 Time Remaining: 17h 44m |
 ONLY VICTIMS by Robert Vaughn INSCRIBEDFIRST EDITION $341.00 Time Remaining: 14d 20h 5m Buy It Now for only: $341.00 Buy It Now |
 Journalism Steve Katz 1st trade paperback first edition pb Inscribed SIGNED 1990 $14.50 Time Remaining: 17h 45m |
 Christine Stephen King 1983 1st edition Signed and inscribed $247.50 Time Remaining: 14d 18m Buy It Now for only: $247.50 Buy It Now |
 Apple Intrigue Egomania Inscribed SIGNED Jim Carlton HC DJ 1st 1997 HB First $14.50 Time Remaining: 17h 45m |
 SIGNED Ghost of Hannah Mendes Naomi Ragen INSCRIBED 1st HC DJ First 1998 First $20.00 Time Remaining: 17h 48m |
 James Nachtwey Deeds of War Signed Inscribed 1st Edition $1,750.00 Time Remaining: 26d 19h 10m Buy It Now for only: $1,750.00 Buy It Now |
 Inscribed SIGNED Dog Walker Leslie Schnur HC DJ 1st printing 2004 HB Hardcover $17.50 Time Remaining: 17h 48m |
 Anne Lamott ALL NEW PEOPLE 1ST INSCRIBED TO HER MOTHER $69.95 Time Remaining: 6d 6h 4m Buy It Now for only: $69.95 Buy It Now |
 Above the Law Inscribed SIGNED JF Freedman HC DJ 1st printing HB Hardcover $24.50 Time Remaining: 17h 49m |
 Savage Garden Inscribed Paul Reed SIGNED HC DJ 1st printing HB Hardcover 1994 $12.50 Time Remaining: 17h 52m |
 Caramelo by Sandra Cisneros Inscribed First Edition $29.99 Time Remaining: 16d 23h 57m Buy It Now for only: $29.99 Buy It Now |
 Waiting INSCRIBED by Frank M Robinson HC DJ 1st printing 1999 HB Hardcover First $17.50 Time Remaining: 17h 52m |
 We Talk You Listen by Vine DeLoria Jr First Edition Signed Inscribed $49.99 Time Remaining: 7d 17m Buy It Now for only: $49.99 Buy It Now |
 Bride Wore Blood Inscribed SIGNED by Vicky Hunnings HC DJ 1st 2002 HB Hardcover $15.00 Time Remaining: 17h 54m |
 On Foot in Homestead by Davis Inscribed SIGNED Hikers Journal 1988 1st printing $15.00 Time Remaining: 17h 56m |
 Antarctica Kim Stanley Robinson Red Green Mars HC 1st 1st SIGNED Inscribed $45.00 Time Remaining: 28d 5h 42m Buy It Now for only: $45.00 Buy It Now |
 The Capers Papers by Charlotte Capers Inscribed SIGNED HC DJ 1st 1982 HB First $12.50 Time Remaining: 17h 56m |
 Jerry Uelsmann Approaching The Shadow 1st Ed HC Signed Inscribed Nice Copy $175.00 Time Remaining: 16d 23h 17m Buy It Now for only: $175.00 Buy It Now |
 Flight to Anywhere by Mark Farmer Inscribed SIGNED trade paperback 1st printing $9.50 Time Remaining: 17h 56m |
 Breathless by Kitty Tsui Inscribed SIGNED trade paperback pb 1st printing 1996 $12.50 Time Remaining: 17h 58m |
 THE CRUSADES Iron Men Saints by Harold Lamb 1930 1st Ed Inscribed + Signed $39.56 Time Remaining: 24d 15h 34m Buy It Now for only: $39.56 Buy It Now |
 WagersThe Final Game Inscribed SIGNED R Ed Herring Trade pb 1st printing $25.00 Time Remaining: 17h 58m |
 The Rape Of Africa by Dave Lachapelle INSCRIBEDFIRST EDITION $100.00 Time Remaining: 24d 20h 47m Buy It Now for only: $100.00 Buy It Now |
 Rumors of Peace Inscribed SIGNED by Ella Lefland HC DJ 1st printing HB Hardcover $19.50 Time Remaining: 17h 58m |
 Single Stone Inscribed SIGNED Marilyn Wallace HC DJ 1st printing HB Hardcover $15.00 Time Remaining: 17h 59m |
 MY SISTER LIFE AND A SUBLIME MALADY BORIS PASTERNAK INSCRIBED FIRST EDITION $60.00 Time Remaining: 25d 1h 15m Buy It Now for only: $60.00 Buy It Now |
 Windfall Inscribed SIGNED James Magnuson HC DJ 1st printing 1999 HB Hardcover $14.50 Time Remaining: 18h 2m |
 Wyeth at Kuerners 1st ed inscribed by the Wyeths to Douglas Fairbanks Jr $600.00 Time Remaining: 4d 16h 54m Buy It Now for only: $600.00 Buy It Now |
 Giant Tales Inscribed SIGNED Grandpa Joe trade pb 1st Illustrator Sarah Lockwood $15.00 Time Remaining: 18h 2m |
 Coastliners Inscribed SIGNED Joanne Harris HC DJ 1st printing HB hardcover First $17.50 Time Remaining: 18h 5m |
 Pierce Arrow by Marc Ralston inscribed by author stated first edition $45.00 Time Remaining: 6d 16h 42m Buy It Now for only: $45.00 Buy It Now |
 Dupont Circle Inscribed SIGNED Paul Kafka Gibbons 1st printing HC DJ 1st 2001 HB $17.50 Time Remaining: 18h 5m |
 In Cold Blood by Truman Capote Signed and inscribed first printing $1,500.00 Time Remaining: 21d 3h 1m Buy It Now for only: $1,500.00 Buy It Now |
 Year of the Rat Inscribed SIGNED Mladin Zarubica HC DJ 1st printing HB 1964 $15.00 Time Remaining: 18h 6m |
what is the area of the largest rectangle with sides parallel to the axes which can be inscribed...?
.. in the first quadrant under the parabola y=4-x^2?
For a general point, (x, y) on the parabola y = 4 - x^2, the area of the inscribed rectangle would have an area of:
A = 2x * (4 - x^2) = 8x - 2x^3
To find the maximum area, solve A' = 0 for x.
A' = 8 - 6x^2
8 - 6x^2 = 0
8 = 6x^2
8/6 = x^2
4/3 = x^2
x = sqrt(4/3) = 2 / sqrt(3)
The area is then:
A = 2(2/sqrt(3)) * (4 - 4/3) = 4 / sqrt(3) * 8/3 = 32 / (3*sqrt(3)) = 6.15840287136 square units
*SORRY...I didn't see the part about the 1st quadrant. This is the rectangle of largest area in both 1st and 2nd quadrants. Follow the same procedure, however, but the area would only equal: A = x * (4 - x^2) = 4x - x^3
Solve A' = 0 for x:
A' = 4 - 3x^2
4 - 3x^2 = 0
4 = 3x^2
4/3 = x^2
x = 2/sqrt(3)
The same x-value as before, but the area will only be:
2/sqrt(3) * (4 - 4/3)
= 2/sqrt(3) * 8/3
= 16 / (3*sqrt(3)) = 3.07920143568 square units