Search results

  1. T

    Maximum - Can this be solved algebraically?

    I found out today that we were supposed to use Newtons Method with a scientific calculator
  2. T

    MATLAB Matlab - graphing multivariable functions

    Type "help subplot". This tells you how to plot multiple graphs in the same figure for convenient pictures
  3. T

    Maximum - Can this be solved algebraically?

    Homework Statement Find the absolute extrema of f(x) = e^-x * ln(lnx) The Attempt at a Solution Ive successfully taken the first derivative and set it to zero. The problem is checking the sign of 1/(xlnx) - ln(lnx) No matter how I try to manipulate this, I cant seem to isolate x. Its...
  4. T

    Applied Optimization Suggestions

    Thats a good one (with nice geometer's sketchpad potential), but someone else is already doing it. So far, Ive found this: Two poles, one 6 meters tall and one 15 meters tall, are 20 meters apart. A length of wire is attached to the top of each pole and it is also staked to the ground...
  5. T

    Applied Optimization Suggestions

    That is more of a related rates question. I could solve for the minimum/maximm speed of the shadow, but weve dealt with that basic setup already
  6. T

    Applied Optimization Suggestions

    For a calc project, I am supposed to solve an interesting calculus word problem dealing with maximum and minimum values. The catch is that I cannot use my own book. Can anyone suggest a challenging optimization problem? So far, weve covered the problem with a person who must find the least time...
  7. T

    Harmonic Problem

    conservation of momentum
  8. T

    Other Should I Become an Engineer?

    Im in pretty much the same situation, and it seems like the answer is electrical engineering. There are opportunities to specialize in signal processing, for example, at the grad level
  9. T

    Story Problem w/ parabolas

    If its a perfect parabola, then what's the x coordinate of the maximum height?
  10. T

    AP Mechanics DiffEQ

    Horizontal plane. For anyone interested, I looked up the solutions, and they were able to simplify it greatly with the small angle approximations sin(theta)=theta and cos(theta)=1 Then the torque is -kL2theta, the acceleration is k/[2m]. Then they solved it in one magic step to get...
  11. T

    AP Mechanics DiffEQ

    Homework Statement A stick of length 2L and negligible mass has a point mass m affixed to each end. The stick is arranged so that it pivots in a horizontal plane about a frictionless vertical axis through its center. A spring of force constant k is connected to one of the masses. The system...
  12. T

    How to find mass with gravitational attraction.

    You can calculate the product of the masses with the given force and distance. Then because you know the sum, you have a system of 2 equations with 2 unknowns
  13. T

    Rope integral

    Homework Statement A freight elevator weighing 3000 pounds is supported by a 12 foot long cable that weighs 14 pounds per linear foot. Approximate the work required to lift the elevator 9 feet by winding the cable onto a winch Homework Equations W = int(f)dy The Attempt at a Solution The...
  14. T

    A confusing energy question

    The problem deals with conservation of energy. Etop=Ebottom. Without friction, PEtop=KEbottom, but thats not what you have here.
  15. T

    A confusing energy question

    Potential energy only deals with vertical displacement. You need the length of the slide for the second part of the question
  16. T

    Speed of moving particle

    No, the negative is correct. In a related rates problem, negatives are very important. If dD/dt wound up negative, the distance would be decreasing The only thing I can think of is that your book may want the magnitude of the particle's velocity. dx/dt is the horizontal component and dy/dt is...
  17. T

    Simple Conic I am sure - Overlooking it

    Rewrite the 4 so that you have x^2/something. Do the same thing with the 3
  18. T

    Simplifying a differentiation problem

    So this is at the end of the problem? Distribute the division: (a+b)/c = a/c + b/c Remember that sqrt(x) = x^1/2
  19. T

    Derivative of e^(x) evaluated at e

    What's the definition of a derivative and whats special about e?
  20. T

    Simple limit problem (Which way is the best to solve?)

    Heres an example of a formal, delta-M definition of limits involving infinity http://img513.imageshack.us/img513/7637/limitts5.png [Broken]
  21. T

    Proving a limit

    The trick is to pick a temporary delta neighborhood (remember your temporary delta) and bound your function. Bound the numerator and denominator separately, remembering the archemidian principle for the denominator. Youll come up delta being less than epsilon times a coefficient as usual. But...
  22. T

    Heeelp with this antiderivative (silly question prob.)

    Is the derivative of sin(4x) equal to cos(4x)? The chain rule has an integration counterpart
  23. T

    Alternate ways to show a line is a tangent to a curve

    With calculus you can show that the given line and the line tangent to the circle at the single intersection point are one and the same. But all you need to do is prove that there is only one intersection
  24. T

    Resultant Force magnitude of the acceleration.

    For an angle in standard position (between the x axis and force vector), sine will give the y component and cosine will give the x component. You have to be careful if the question says something like "20 degrees west of north", but here they state each angle is in standard position
  25. T

    AP Physics B with a Calculus Based Book?

    APB is more general and covers many more areas like thermo, nuclear physics, and optics. None of it is too challenging, but its probably not in your textbook. APC goes very in depth on two subjects: mechanics and E&M. If you dont want to buy another textbook, you should get some sort of AP guide...
  26. T

    AP guide

    The APC exams test your knowledge of physics, not calculus. If youre motivated, youll be able to do well on the mechanics exam with little calc background. BTW theres no need to take math 1 and 2 SATIIs. Its typically one or the other. Math 2 usually has a fair amount of trig. When colleges say...
  27. T

    Big Math Problem

    I wouldnt try the Calc BC exam this year with no knowledge of precalc (exponential and trigonometric functions). Try to get into a precalc class to prepare you for next year. If you feel ambitious, start to look up the beginnings of limits and derivatives on your own, but dont take a whole class
  28. T

    How do I find the equidistant point?

    Any point on the line has coordinates (x,3x+1). Set the distance from that to (0,0) equal to the distance from that to (-3,4)
  29. T

    Determine their linear speeds.

    Are you using one mass or the combined mass?
  30. T

    Determine their linear speeds.

    The two objects rotate around the center of mass of the system. In this case, the objects have the same mass so the COM is at the geometric center of the system. r doesnt equal the seperation distance, but the distance from the center of mass of the system
Top