MHB Solving for Hyperbolic Tower Equation: F, G, and E

  • Thread starter Thread starter vegemite
  • Start date Start date
  • Tags Tags
    Hyperbolic Tower
AI Thread Summary
The discussion revolves around solving the hyperbolic tower equation f(x)=E/(X+F)+G, with specific parameters including height and ground contact points. The height of the tower is set at 23 meters, and it touches the ground 11.5 meters on either side of the axis, passing through the point (4,3). Participants outline the need to derive three equations based on these parameters to solve for F, G, and E, ultimately leading to the values F=1, G=2, and E=25K. However, there is a strong emphasis on academic integrity, with moderators warning against sharing graded assignment details without proper permission. The discussion highlights the importance of clarifying whether the project is graded before seeking further assistance.
vegemite
Messages
3
Reaction score
0
The equation of the tower structure is a hyperbola of f(x)=E/(X+F)+G
hight=23, and meets ground 11.5m on either side of axis , curve also passes through (4,3)
This helps to form 3 equations...
Use height to find first equation.
Use the points where the tower touches the ground on the right hand side to find the second
Use pts (4,3) to find third
Use i and ii to find G in terms of F only ?
Show that F=1, G=2, and E=25K
 
Mathematics news on Phys.org
This is part of the project problem you posted earlier, which strikes me as a graded assignment, and as such, until we clear up this matter as I stated in the other topic we simply cannot help. We place a very high priority on academic honesty.

Please, before posting any more of this project, contact me or another senior staff member (MHB Global Moderator or MHB Administrator) by private message so we can determine from you and your instructor whether this is a graded assignment or that your instructor has given you permission to get outside help.

If you do post more of it, unfortunately I will be forced to ban your account temporarily.
 
Seemingly by some mathematical coincidence, a hexagon of sides 2,2,7,7, 11, and 11 can be inscribed in a circle of radius 7. The other day I saw a math problem on line, which they said came from a Polish Olympiad, where you compute the length x of the 3rd side which is the same as the radius, so that the sides of length 2,x, and 11 are inscribed on the arc of a semi-circle. The law of cosines applied twice gives the answer for x of exactly 7, but the arithmetic is so complex that the...
Is it possible to arrange six pencils such that each one touches the other five? If so, how? This is an adaption of a Martin Gardner puzzle only I changed it from cigarettes to pencils and left out the clues because PF folks don’t need clues. From the book “My Best Mathematical and Logic Puzzles”. Dover, 1994.
Back
Top