Max Definition and 1000 Threads

  1. D

    Finding Local Max, Min, and POI of y=-x^5+5x-6

    Homework Statement a) Graph y = -x^5 +5x -6. Include coordinates of local max, min, and points of inflection. Indicate the behavior as x-> -infinity, x -> infinity. b) Find in slope-intercept form the equation of the tangent line to the curve at x = 2. Homework Equations The Attempt at a...
  2. G

    What is the maximum time to reach the apex involving pi?

    The basic point to this is to show that, no matter how fast an object is thrown up (assuming that g is relatively constant), that there is a maximum time it will take to reach its highest point (v=0), more interesting however is that exact number which strangely involves pi...
  3. I

    Find max. speed with Static Friction

    Suppose the designated speed for the ramp is to be 13.2 m/s (29.5 mi/h) and the radius of the curve is 34 m. The coefficient of static friction between the tires and the road is 0.33. What maximum speed could a car negotiate the exit ramp without skidding? Vmax = square root of...
  4. S

    Heat and max temperature Problem

    [SOLVED] Heat Problem The question is: The only equations known are Q=mcΔT, and Q=ml Where Q= energy in joules. m=mass in kg, c= specific heat capacity [to 3 decimal places], ΔT= the change in temperature in either kelvin or Celsius, l= latent heat [also to 3 decimal places] However I...
  5. N

    Max Power for Fiber Connectors?

    Max Power for Fiber Connectors?? Does anyone know the maximum peak or average power for FC/APC fiber optic connectors? My system is constantly burning the cores of these connectors. I have a maximum of 600mW (average) and 1KW (peak) passing through these connectors.
  6. J

    Calculating Max Voltage Across Resistor Network

    Homework Statement A 2.8k-ohm and a 2.1k-ohm ersistor are connected in parallel; this combination is connected in series with a 1.8k-ohm resistor. If each resistor is rated at .5W, what is the maximum voltage that can be applied across the whole network? Homework Equations Ohm's Law...
  7. J

    Determine max speed of point on string

    Homework Statement A 2.5 m long string that has a mass of 0.10 kg is fixed at both ends and is under a tension 30 N. (c) Determine the maximum speed of a point on the middle of the string. Homework Equations 2 sinusoidal waves having same amplitude, frequency and wavelength / superposition...
  8. P

    Finding Local Maxima and Minima Points for a Cubic Function

    [SOLVED] Local Max & Min problem I'm having a real tough time finishing this problem. I have to find the local maxima and minima points for g(x). g(x) = 1 + 4x - 10x^2 + x^4 (dy/dx) = 4 - 20x + 4x^3 I've been trying to factor it to get the max and min points, but I find it...
  9. M

    Max Initial Separation for Meeting of Two Moving Bodies

    Homework Statement Two bodies move in a straight line towards each other at initial velocities v1 and v2 and with constant retardation a1 and a2 respectively at the initial instant. What is the max initial separation between the bodies for which they will meet during the motion? (sqr ->...
  10. M

    Max. Height Insect Can Crawl in a Bowl: u & r

    Homework Statement If the coefficient of friction between an insect and bowl surface is u (mu) and the radius of bowl is r, what is the max height upto which the insect can crawl in the bowl? a) r/root(1 + u2) b) r [ 1 - 1/root(1 + u2)] c) r [root(1 + u2)] d)r [ root(1 + u2) -1 ]...
  11. C

    Max Power of Resistor in 3-Resistor Circuit

    Homework Statement Three 100 resistors are connected as shown in the figure. The maximum power that can safely be delivered to anyone resistor is 28.0 W. "http://imageshack.us Homework Equations P = VI The Attempt at a Solution I found the total resistance of the circuit, but i don't...
  12. Saladsamurai

    Finding P Max with a Shear Diagram

    !Shear Diagram! Homework Statement I have posted the problem below. I am looking to find P max. My professor wants us to draw a shear diagram to find out where it will occur. From equilibrium equations I have found that Ay=By=P+0.6 kip I am having trouble drawing the diagram. I...
  13. A

    Finding Max & Min of r=2-2cos(\Theta)

    Homework Statement Find the Maximum and Minimum of the following equation. r=2-2cos(\Theta) The Attempt at a Solution Max- 2-2 cos (0\pi)=0 (0,0\pi);(0,2\pi) Min 2-2cos(\pi)=4 (4,\pi) Do i just have these backwards?
  14. F

    Max height of projectile using energy conservation

    Homework Statement find max height of a projectile traveling at 40 m/s 60 degrees from the horizontal using conservation of energy Homework Equations KEi + PEi = KEf + PEf? The Attempt at a Solution couldnt attempt. (I know I can't be given the answer, but even just the proper...
  15. maverick280857

    Are max and min of n iid r.v.s. independent?

    Hi Suppose X_{1}, \ldots, X_{n} is a sequence of i.i.d. random variables. We define X_{(n)} = max(X_{1}, \ldots, X_{n}) X_{(1)} = min(X_{1}, \ldots, X_{n}) Are X_{(n)} and X_{(1)} independent? Whats the best/easiest way to verify this? Thanks Vivek
  16. L

    Calculate Max Shear & BM for 5m Beam w/ 20kN Point Load

    For a light 5m beam carrying a central point load of 20 kN, calculate: a) the maximum shear force (iv got that) b) " " bending moment im stuck on the bending moment, i can't remember how to work it out.
  17. A

    What are the minimum and maximum values of theta for the moment equation?

    Homework Statement The 70N force acts on the end of the pipe at B. determine the angles theta between 0 and 180 of the force that will produce maximum and minimum moments about point A. Homework Equations FBD is attached. The Attempt at a Solution I made the following equation...
  18. D

    Finding the Max Value of a Function on a closed interval

    [SOLVED] Finding the Max Value of a Function on a closed interval Homework Statement Hi, I'm reposting this because it's a subsection to a larger question I had and I figured more people might be able to help with a new topic name. anyway i have the equation (eq1) C(t) = C + a(e^.5t) +...
  19. R

    Local Max & Min of x/(1+x^2) - Find the Answers

    1. Find the local max and min of x/(1+x^2) The Attempt at a Solution Take the derivative of x/(1+x^2) and set it equal to zero. f'(x)= (1-x^2)/(1+x^2)^2 = 0 This is where I am stuck. My first guess was to factor the top, resulting in (1-x)(1+x)/(1+x^2)^2 = 0, and then cancel the 1+x...
  20. B

    Max Angle of Incidence for Light Ray in Water-Glass System

    [SOLVED] Max angle of incidence...help! Homework Statement A 1-cm-thick layer of water stands on a horizontal slab of glass. Light from a source within the glass is incident on the glass-water boundary. What is the maximum angle of incidence for which the light ray can emerge into the air...
  21. D

    Compton Scattering Effect: Max Kinetic Energy

    Okay, so I have two questions, both pertaining to the Compton Effect. Homework Statement Evaluate the maximum kinetic energy for a recoiling electron that is struck by a photon with momentum 0.04MeV/c Homework Equations Maximum Kinetic energy: E_{k} = \frac{hf}{1 + (mc^{2}/2hf}...
  22. Q

    Investigating max and min value of a function

    Homework Statement f(x) = (1/2)sin2x + cosx Find f^2 min +f^2 max = ? Homework Equations Differentiation not allowed... only by transformations and analysis. The Attempt at a Solution I am confused by what it means by f^2 min +f^2 max... does it imply we have to...
  23. P

    Max Grass-Eating Area for a Cow Tied to a Fence

    There is a big field full of green grass. At its centre is a circular fence, of radius R. a cow is tied to the circumference of the fence using a rope whose length is exactly 2\PiR. Now, the cow starts eating the grass. we have to find the maximum area of the grass it can eat. the cow can not...
  24. Y

    Multivariable Max and min value problem.

    Homework Statement find local max min and saddle point. f(x,y)= sin(x)sin(y), -pi<x<pi, -pi<y<piHomework Equations noneThe Attempt at a Solution fx = cos(x)sin(y) fy= sin(x)cos(y) now how do I get the critical points, I know how to get max min and saddle point, but I don't know how to get...
  25. T

    What is the Carrying Capacity of a Stocked Lake?

    Homework Statement Biologists stocked a lake with `400` fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be `6900`. The number of fish doubled in the first year. Homework Equations The Attempt at a Solution I know...
  26. O

    Rotating pool table, calculating max ang. velocity

    Hi, I am trying to calculate how fast you could rotate a pool table (at constant angular velocity) without the balls moving. Assumptions used: coeffecient of static friction=0.3 table dimensions: 50in.X100in. So the farthest distance from the center is 111.8 in. I came up with about...
  27. D

    Rank Pendulums Based on Max Speed

    Homework Statement Rank each pendulum on the basis of its maximum speed. http://img148.imageshack.us/img148/9674/picture3op6.png Homework Equations m*g*\Delta = 1/2*m*v^{2} The Attempt at a Solution At first I thought that all the Max speeds were the same, but I was...
  28. C

    Finding Max Height and Velocity of Thrown Kong

    For a physics experiment, we had to take a kong (dog toy with a rubber ball on the end of a rope), twirl it and then throw it as far as we could. We were told to record how long it was in the air for, and the distance for two throws. This was all was we were told to record. Afterwards, we need...
  29. U

    Max height expressed with v, theta, and g

    [SOLVED] max height expressed with v, theta, and g Homework Statement what is the max height of a projectile with velocity v at an angle theta using the conservation of energy? express in terms of v, theta, and g Homework Equations 1/2*m*v^2=mgh The Attempt at a Solution i...
  30. J

    How Do You Calculate the Maximum Height of a Projectile Using v, Theta, and g?

    1. I am trying to derive the equation for maximum height of a trajectory. Must be in terms of v, theta, and g. 2.Vy=vsin(theta) dy=vsin(theta)t+0.5gt^2 3. I know that I must find the point when the vertical velocity is equal to zero and must find one equation for time. Then sub this...
  31. S

    Capacitance and Max Potential Difference

    Homework Statement (a) Determine the capacitance of a Teflon-filled parallel-plate capacitor having a plate area of 1.90 cm2 and insulation thickness of 0.0600 mm. (b) Determine the maximum potential difference that can be applied to the capacitor. kV Homework Equations I THOUGHT C =...
  32. S

    Conservation of Energy max height

    Homework Statement An arrow(mass=0.2kg) is fired at a 45 degree angle with an inital velocity of 15 m/s. Find it's max height and kinetic energy when it is at it's max height. Homework Equations Ek=1/2mv^2 Ep=mgh The Attempt at a Solution I tried breaking it down to x and y...
  33. L

    Harmonics Question; prove that v max of a mass on a spring is given by 2 pi f A

    The question is exactly this: Prove that the maximum speed (Vmax) of a mass on a a spring is given by 2(pi)fA. where f = frequency and A =Amplitude We are given such formulas as: f=[1 / 2(pi)]square_root (k /m) or f=[1 / 2(pi)]square_root (a /-x) the formula for total energy in a...
  34. J

    Incline max angle physics problem

    we have to design an entrance ramp for the new megamart. the maximum force customers will exert without complaint is 20N, ignoring friction at what maximum angle should the ramp be built assuming a full 20 kg grocery cart? i've almost drawn at a blank it just seems like the question is...
  35. M

    Calculating Max Output Power from a 12V Battery w/ 6 Ohm Resistance

    I'm having a tough time wrapping my head around something that seems so simple. The Question is: What is the maximum output power from a 12 volt battery that has an internal resistance of 6 ohm ? The answer from this books is 6 W? My formula First I need to find the current I = V/R...
  36. H

    Planck energy is a max, is there a mimimum too?

  37. B

    How Does Max Tegmark's Multiverse Theory Influence Human Decision-Making?

    I was reading and attempting to understand Max Tegmark's research on the multiverse, and I found this: http://science.howstuffworks.com/quantum-suicide.htm Now, while How Stuff Works is generally a good site, there are some areas that they could have been clearer on. The paragraph...
  38. R

    Max Born and probability waves

    This isn't homework - just some questions that have come up from reading The Fabric of the Cosmos: 1) Say you measure the position of an electron for a hydrogen atom on Earth and, beating all odds, find that it's actually on the moon (forget any details as to how you'd actually find it if...
  39. J

    Rocket's Max Altitude & Flight Time

    A 200kg weather rocket is loaded with 100 kg of fuel and fired straight up. It accelerates upward at 31.0 {\rm m/s^2} for 35.0 s, then runs out of fuel. Ignore any air resistance effects. I just don't know how to integrate the weight into the problem known variables (hopefully they are...
  40. B

    I can't figure out what I am doing for nothing Max Torque

    I can't figure out what I am doing for nothing! Max Torque...Please Help! Homework Statement Two small plastic spheres, one charged to 18.95 nC and the other to -18.95 nC, are connected by a 50-mm-long insulating rod. Suppose this dipole is placed a uniform electric field with strength...
  41. C

    Solving a Ladder Problem: Finding Max Tension in a Rope

    Homework Statement A uniform ladder of weight WL and length L has its top against a vertical wall with friction coefficient μW and its foot on a smooth horizontal floor. A rope is attached to the foot of the ladder and secured to the base of the wall, with the ladder making an angle α...
  42. T

    Max Force from a Car: Decoding the Limits of Torque and Final Drive Ratio

    I tried to figure out the absolute maximum force that a car can create. But the numbers I got are obviously wrong. I started by trying it on the http://www.supercars.net/cars/1177.html" . Torque is 649.4 Nm. First gear is 3.23. Then there's a "final drive ratio" of 2.37. I thought that this...
  43. B

    Solving a max() Function with Binary Operators

    Hey i was wondering if someone could help me express this using standard binary operators. f(x,y,z)=\frac{max(0, (x-y) )}{z} i.e. Eliminate the max() function and write it using proper math. EDIT: max(a,b) simply chooses the largest value of the two variables.
  44. K

    Finding Max Area of Rectangle in Isos. Triangle

    Homework Statement An isosceles triangle has base 6 and height 12. Find the maximum possible area of a rectangle that can be placed inside the triangle with one side on the base of the triangle. Homework Equations None. The Attempt at a Solution Well, so far I've created an X-Y...
  45. T

    Solving for Max Height & Side Lengths of Triangle Inclined at 24 Degrees

    Homework Statement Given a isosceles triangle with base 1.32 meters and other sides unknown; Given rectangle with base 1.32 meters. These polygons are on an incline of 24 degrees. What are the maximum height of the rectangle and the maximum side lengths of the triangle (not the base) without...
  46. F

    What is the max value of f(x)=x^3(40-x^2) on the closed interval 0<= x <= 40?

    Homework Statement the max value of f(x)=x^3(40-x^2) on the closed interval 0<= x <= 40 occurs at x=? The Attempt at a Solution different problem, same story (notes are unclear, and the book only complicates things more). I know the answer is 24, but this will not help me on the final exam...
  47. B

    Finding the max shear stress at a point on a plate (with a hole)

    i need to find max shear stress at a point on a plate (with a hole) under tension. i found using experimental data the principle strains at the point but i need to find the max shear stress using this data to compare it with a result found analytically. any suggestions?
  48. G

    Calculating max robot speed on a ramp

    Hello everyone, I am attempted to calculate the top speed of a robot on ramp, given a specific gear ratio and ramp angle. I have attached an excel spreadsheet with all the given information, equations, and logical steps. The final numbers do not seem right when the gear ratio is varied...
  49. F

    Max points, points of inflection

    Homework Statement which best describes y=4x^3 - 3x^4 find max/min points and inflection points The Attempt at a Solution When I work this one out I get x<0 and 0<x<1 as my two local max points. However, the book says there is only ONE max point - why is this? with the second...
  50. N

    Finding the Minimum and Maximum Speed on a Sloped Surface

    Homework Statement Homework Equations I draw free body diagram but I cannot attempt to go from there. Help Please. The Attempt at a Solution I have found the mui with no friction but that is not relevant to finding the answer. I have spent 25 hours on this question. Please just...
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