Graph Shaft
February 14th, 2007
Graph Shaft
 |
 TAYLORMADE R7 DRAW 5 FAIRWAY WOODTAYLORMADE REAX 55 GRAM REG FLEX GRAPH SHAFT $49.99 Time Remaining: 25d 15h 5m Buy It Now for only: $49.99 |
 Used RH Tour Van Issued Exotics XCG 15 Deg 3 Fwy Wd Graph Shaft Stiff Flex $51.00 (3 Bids) Time Remaining: 1d 4h 47m |
 Ping ISI S Orange Dot Irons 4 LW 350 series A flex graph shafts matching ser s $239.99 Time Remaining: 26d 7h 7m Buy It Now for only: $239.99 |
 Sonartec NP99 Fwy 5 Wood19 DegreeAldila Stiff Graph Shaft W HCVG Cond $59.00 Time Remaining: 19d 5h 56m Buy It Now for only: $59.00 |
 Nice TaylorMade Burner 25 5 hybrid RE AX graph shaft Medium flex w headcover $74.99 Time Remaining: 22d 5h 52m Buy It Now for only: $74.99 |
 GRAPH TECH LOW TORQUE MENS GRAPHITE SHAFT 45 0335 TIP $15.99 Time Remaining: 4d 21h 22m Buy It Now for only: $15.99 |
 Tommy Armour 855s Silver Scot 3 Iron 2 w Graph Shaft $17.99 Time Remaining: 11d 20h 41m Buy It Now for only: $17.99 |
 1500 YONEX TOUR FORGED IRONS 3 10 REG FLEX GRAPH SHAFTS GOLF PRIDE TOUR GRIPS $229.99 Time Remaining: 13h 45m Buy It Now for only: $229.99 |
 1800 YONEX ADX TOUR FORGED IRONS 3 10 REG FLEX GRAPH SHAFTS GOLF PRIDE GRIP $229.99 Time Remaining: 10h 40m Buy It Now for only: $229.99 |
 TITLEIST 910 D2 DRIVER 105 REG FLEX DIAMANA ILIMA 61 GRAPH SHAFT 99 OF 10 $249.99 (1 Bid) Time Remaining: 1d 13h 30m |
 TaylorMade LADY Firesole Nickel Steel Iron set 3 SW GRAPH shafts Used Original $99.99 Time Remaining: 2d 16h 10m Buy It Now for only: $99.99 |
 2100 YONEX ADX TOUR FORGED IRONS 2 10 PW REG FLEX GRAPH SHAFTS GOLF PRIDE GRIP $249.99 Time Remaining: 14h 39m Buy It Now for only: $249.99 |
 PING TISI TEC 12 DEG 3 WOOD TI Zr + GRAFALLOY PROLITE TOUR S FLEX GRAPH SHAFT $129.99 Time Remaining: 26d 7h 4m Buy It Now for only: $129.99 |
 1500 YONEX TOUR FORGED IRONS 5 10 PW SW STIFF FLEX GRAPH SHAFTS WINN LITE GRIPS $229.99 Time Remaining: 13h 2m Buy It Now for only: $229.99 |
 Left Handed Callaway FT Hybrid 3H 20 Degree Draw Graph Stiff Shaft VG Cond $39.00 Time Remaining: 28d 5h 53m Buy It Now for only: $39.00 |
 129 MSRP LEFT HAND NIKE SLINGSHOT HL 56 SAND WEDGE REGULAR FLEX GRAPH SHAFT $79.99 Time Remaining: 2d 14h 51m Buy It Now for only: $79.99 |
 1850 YONEX TOUR FORGED IRONS 3 10 PW REG FLEX LTB 600 GRAPH SHAFTS PING GRIPS $229.99 Time Remaining: 1d 7h 39m Buy It Now for only: $229.99 |
 Hippo SC 2 Offset Ti Face 7 W Lh Graph Shaft New $35.99 Time Remaining: 9d 17h 4m Buy It Now for only: $35.99 |
 TaylorMade RocketBallz 19 3 hybrid rescue w reg flex graph shaft headcover $108.25 (10 Bids) Time Remaining: 1d 15h 27m |
 Palmer Tour PHD Oversize 6 iron LH Graph Palmer Shaft $14.99 Time Remaining: 4d 7h 15m Buy It Now for only: $14.99 |
 New US Kids PL 3 Golf 56 12 Sand Wedge Performance graph shaft yellow system $29.99 Time Remaining: 23d 8h 35m Buy It Now for only: $29.99 |
 Daiwa Hi Trac TCS Sand Wedge SW Graph Shaft R2 Hi Trac $49.90 Time Remaining: 4d 5h 55m Buy It Now for only: $49.90 |
 129 MSRP LEFT HAND NIKE SLINGSHOT HL 50 APPROACH WEDGE STIFF FLEX GRAPH SHAFT $79.99 Time Remaining: 2d 14h 39m Buy It Now for only: $79.99 |
 Left Handed Callaway FT Hybrid 4H 23 Degree Draw Graph Stiff Shaft $39.00 Time Remaining: 28d 6h 3m Buy It Now for only: $39.00 |
 Nike Pro Combo OS 9 Iron Graph Reg Flex Shaft $19.00 Time Remaining: 3d 10h 10m Buy It Now for only: $19.00 |
 1999 2001 Wilson Staff FS Fat Shaft Irons 4 9 NO PW Stiff Flex Fat Shaft Graph $54.99 Time Remaining: 16d 17h Buy It Now for only: $54.99 |
 Wilson Staff Fat Shaft FS 9 Iron Graph Reg Nice $22.39 Time Remaining: 27d 7h 26m Buy It Now for only: $22.39 |
 Ping Golf TiSI Driver 115 Degrees Titanium w GraphShaft Very Good Condition $39.75 Time Remaining: 3d 9h 44m Buy It Now for only: $47.75 |
 Cleveland Launcher 6 Iron Demo Club RegGraph Shaft $24.99 Time Remaining: 29d 15h 20m Buy It Now for only: $24.99 |
 BOB TOSKI FLOW SOLE 9 Iron TOSKI TOUR TOUCH Graph Shaft $19.95 Time Remaining: 26d 17h 28m Buy It Now for only: $19.95 |
 Snake Eyes Wood 16 Fuji graph reg flex shaft $39.99 Time Remaining: 2d 18h 58m Buy It Now for only: $39.99 |
 Nice LH Nike SQ 105 Driver Diamana Sasquatch graph shaft reg flex w o cover $99.99 Time Remaining: 27d 8h 35m Buy It Now for only: $99.99 |
 Mizuno MX 25 Hemi Cog USED 1 2 inch longer than standard Stiff Flex Graph Shaft $39.99 Time Remaining: 20d 15h 50m Buy It Now for only: $39.99 |
 Founders Club Judge Titanium 105 Driver Graph Shaft $79.99 Time Remaining: 9d 17h 4m Buy It Now for only: $79.99 |
 Mizuno MX 25 Hemi Cog USED 1 2 inch longer than standard Reg Flex Graph Shaft $39.99 Time Remaining: 20d 15h 50m Buy It Now for only: $39.99 |
 Callaway Big Bertha X12 9 Iron Orig Graph Shaft X 12 $69.90 Time Remaining: 4h 25m Buy It Now for only: $69.90 |
 New LH Cobra S3 Max offset 21 5 Fairway Wood Fujikura Blur graph shaft regular $79.99 Time Remaining: 5d 5h 9m Buy It Now for only: $109.99 |
 Wilson Fat Shaft Tour Cast 3 Iron Stiff Graph Wow $19.99 Time Remaining: 19d 6h 57m Buy It Now for only: $19.99 |
 Titleist DCI 990 5 IronTitleist Select REG Graph Shaft $19.00 Time Remaining: 18d 6h Buy It Now for only: $19.00 |
 BOB TOSKI FLOW SOLE 6 Iron TOSKI TOUR TOUCH Graph Shaft $19.95 Time Remaining: 26d 17h 22m Buy It Now for only: $19.95 |
 Callaway Big Bertha X12 5 Iron Orig Graph Shaft X 12 $59.90 Time Remaining: 7d 7h 31m Buy It Now for only: $59.90 |
 Callaway Big Bertha X12 3 Iron Orig Graph Shaft X 12 $69.90 Time Remaining: 15d 7h 51m Buy It Now for only: $69.90 |
 BOYS TWEEN PRO EDITION IRONS w 45 HYBRIDS GRAPH SHAFTS $114.95 Time Remaining: 16d 5h 1m Buy It Now for only: $114.95 |
 LH US Kids Golf 3 Fairway Driver KP3 graph shaft kids $49.99 Time Remaining: 5d 7h 45m Buy It Now for only: $49.99 |
 Cleveland TA 5 Gold 8 Iron Orig Senior Graph Shaft TA 5 $69.90 Time Remaining: 8d 12h 18m Buy It Now for only: $69.90 |
 Spaulding Golf Pro Caliber Plus Bi Metal Irons 4 thru PW GraphShafts Very Good $34.75 Time Remaining: 5d 9h 46m Buy It Now for only: $39.75 |
 Cleveland TA 5 Gold 4 Iron Orig Senior Graph Shaft TA 5 $49.90 Time Remaining: 8d 12h 15m Buy It Now for only: $49.90 |
 Cleveland TA 5 Gold 5 Iron Orig Senior Graph Shaft TA 5 $49.90 Time Remaining: 8d 12h 17m Buy It Now for only: $49.90 |
 BOYS TEEN PRO EDITION IRONS w 45 HYBRIDS GRAPH SHAFTS $109.95 Time Remaining: 16d 4h 55m Buy It Now for only: $109.95 |
 New LH Cobra S3 Max offset 21 5 Fairway Wood Fujikura Blur graph shaft regular $119.99 Time Remaining: 23d 8h 37m Buy It Now for only: $119.99 |
 Nakashima NX 5 7 Iron Regular Graph Shaft NX5 Nice $69.90 Time Remaining: 16d 10h 57m Buy It Now for only: $69.90 |
 Wilson Fat Shaft Tour Cast 4 Iron Stiff Graph Wow $19.99 Time Remaining: 19d 6h 59m Buy It Now for only: $19.99 |
 Wilson Fat Shaft Tour Cast 5 Iron Stiff Graph Wow $19.99 Time Remaining: 19d 7h 1m Buy It Now for only: $19.99 |
 BOB TOSKI FLOW SOLE 3 Iron TOSKI TOUR TOUCH Graph Shaft $19.95 Time Remaining: 26d 17h 13m Buy It Now for only: $19.95 |
 Nice TaylorMade Burner Superfast 95 Driver graph shaft Medium flex w headcover $109.99 Time Remaining: 6d 5h 25m Buy It Now for only: $169.99 |
 Callaway X 14 Steelhead 9 iron Original Graph Shaft X14 $69.90 Time Remaining: 8h 28m Buy It Now for only: $69.90 |
 BOB TOSKI FLOW SOLE 8 Iron TOSKI TOUR TOUCH Graph Shaft $19.95 Time Remaining: 26d 17h 25m Buy It Now for only: $19.95 |
 Ladies Wilson Fat Shaft III 6 Iron Graph Excellent $14.99 Time Remaining: 15d 7h 50m Buy It Now for only: $14.99 |
 Cleveland TA 5 Gold 9 Iron Orig Senior Graph Shaft TA 5 $69.90 Time Remaining: 8d 12h 16m Buy It Now for only: $69.90 |
 Cleveland TA 5 Gold 6 Iron Orig Senior Graph Shaft TA 5 $59.90 Time Remaining: 8d 12h 19m Buy It Now for only: $59.90 |
 Wilson FatShaft 9 iron Fat Shaft 9i graph stiff X Long $29.99 Time Remaining: 2d 20h 26m Buy It Now for only: $29.99 |
 TALL LEFT MENS BALLISTA HYBRID IRON COMBO SET GRAPH SHAFT 4 STEEL 5 PW FREE SW $119.95 Time Remaining: 27d 5h 29m Buy It Now for only: $119.95 |
 Wilson Fat Shaft Staff Single 5 Iron Graph Super Lite $19.99 Time Remaining: 18d 8h 58m Buy It Now for only: $19.99 |
 Nice Cobra L5V 105 Driver Diamana graph shaft reg flex w coverwrenchmanual $99.99 Time Remaining: 6d 5h 32m Buy It Now for only: $149.99 |
 BOB TOSKI FLOW SOLE 4 Iron TOSKI TOUR TOUCH Graph Shaft $19.95 Time Remaining: 26d 17h 15m Buy It Now for only: $19.95 |
 BOB TOSKI FLOW SOLE 5 Iron TOSKI TOUR TOUCH Graph Shaft $19.95 Time Remaining: 26d 17h 19m Buy It Now for only: $19.95 |
 PETITE LADIES EDITION 45 HYBRID IRONS GRAPH SHAFTS $69.95 Time Remaining: 11d 5h 34m Buy It Now for only: $69.95 |
 Callaway Big Bertha X12 4 Iron Orig Graph Shaft X 12 $59.90 Time Remaining: 4h 26m Buy It Now for only: $59.90 |
 Mitsushiba Image Oversize Deep Bore 3 PS Golf Irons Paragon Graph Shafts NEW $179.99 Time Remaining: 8d 14h 17m Buy It Now for only: $179.99 |
 Excellent Ping K15 7 iron yellow dot ULT 200 graph shaft ladies std 15 up $69.99 Time Remaining: 17d 10h 3m Buy It Now for only: $69.99 |
 Nice Ping G15 7 iron Purple dot 15 flat Ping TFC 149i graph shaft reg 1 2 $50.00 Time Remaining: 25d 9h 51m Buy It Now for only: $50.00 |
 Nice Ping G15 7 iron Purple dot 15 flat Ping TFC 149i graph shaft reg 1 2 $50.00 Time Remaining: 25d 9h 51m Buy It Now for only: $50.00 |
 Nice LH Women Cobra Baffler Rail F 18 5 Wood Fujikura Motore graph shaft ladies $49.99 Time Remaining: 6d 8h 20m Buy It Now for only: $79.99 |
 Womens Wilson Deep Red II 7 Iron Fat Shaft Graph Nice $24.99 Time Remaining: 5d 9h 29m Buy It Now for only: $24.99 |
 LEFT IMPACT BOYS TWEEN IRONS SET w3HYBRID GRAPH SHAFTS $99.95 Time Remaining: 15d 12h 36m Buy It Now for only: $99.95 |
 HEATER PLUS 105 DRIVER ON ALDILA GRAPHSHAFT REG RH $69.99 Time Remaining: 27d 5h 31m Buy It Now for only: $69.99 |
 King Cobra 2 Senior Oversize 8 Iron Graph Hump Shaft $49.95 Time Remaining: 18h 44m Buy It Now for only: $49.95 |
 Cleveland Woods Launcher Fairway Graph 19 Flex R ShaftTrq 34 65g KPLow T350 $72.00 Time Remaining: 3d 10h 9m Buy It Now for only: $72.00 |
 3 PW GALLERY MENS RIGHT IRONS GOLF CLUBS BUBBLE SHAFT STIFF POWER HI MOD GRAPH $129.50 Time Remaining: 24d 21h 14m Buy It Now for only: $129.50 |
 Left Handed Ben Sayers Power Pact XS 105 degree Driver with regular graph shaft $23.45 Time Remaining: 7d 5h 43m Buy It Now for only: $23.45 |
need help with precalc hw!?
so i'm learning polynomials and i'm having a little trouble. i need to explain why there must be a value of x that maximizes the volume of a box.
and another problem has three parts to it. ther shaft of a turbine engine design was created using 5 indicated control points [ (-7,1)(-4,1.5)(-1,2.5)(2,2.5)(4,0) ] a) why do you think 5 points were used? b) find a polynomial fuction that passes through the points. c) how might the curve be used to create the solid shape of the shaft?
i think i know how to do b, but i'm not sure whether i find it out by using the quadreg or the quartreg on my graphing calc.
first one:
volume is a cubic function. so there is always a local max and a local min.
if you know derivatives: the second derivative will show you
when you have them.
second one:
at least a polynomial of the 5th order has all the points
Ax^5 + Bx^4 + Cx^3 + Dx^2 + Ex + F = y
set a system of equations up to solve for the variables....
plug in the points and you get the 5 equations:
A(7)^5 + B(7)^4 + C(7)^3 + D(7)^2 + E(7) + F = 1
A(-4)^5 + B(-4)^4 + C(-4)^3 + D(-4)^2 + E(-4) + F = 1.5
A(-1)^5 + B(-1)^4 + C(-1)^3 + D(-1)^2 + E(-1) + F = 2.5
A(2)^5 + B(2)^4 + C(2)^3 + D(2)^2 + E(2) + F = 2.5
...
I'd have a calculator solve this. or use something like Cramer's rule.
if you want a solid you can revolve the curve around an axis.