Maximum Definition and 1000 Threads

  1. J

    Maximum Load on a Plastic Sheet

    I am going to attempt to use a sheet of HDPE betwen a concrete footing and the base of a column to allow the column to move with thermal expansion in the structure it is supporting. My question is how can I determine if the HDPE will be crushed by the weight of the column and no longer act as a...
  2. M

    MHB Maximum light through the window

    A window is in the form of rectangle surmounted by a semi circle. The total perimeter of the window is 10m. Find the dimensions of the window to admit maximum light through the whole opening.
  3. D

    MHB What is the Maximum Likelihood Estimator for Uniform Distribution Endpoints?

    I need help on this problem, anyone know how to do it? Suppose you have n independent observations from a uniform distribution over the interval [𝜃1, 𝜃2]. a. Find the maximum likelihood estimator for each of the endpoints θ1 and θ2. b. Based on your result in part (a), what would you expect...
  4. anemone

    MHB What Is the Maximum Value of $pq+qr+rs$ When $p+q+r+s=63$?

    If $p,\,q,\,r,\,s$ are positive integers with sum 63, what is the maximum value of $pq+qr+rs$?
  5. L

    What Are the Maximum and Minimum Values of y When x^3 is 8+- 2(14)^1/2?

    Homework Statement Show that the maximum and minimum values of y occurs when x^3=8+- 2(14)^1/2 Homework Equations The Attempt at a Solution
  6. M

    MHB Proof of the strong maximum principle

    Hey! :o I am looking at the proof of the strong maximum principle: If a function $u$ satisfies the Laplace's equation at the open space $D$ and is continuous at the boundary $\partial{D}$ and achieves its maximum at $\partial{D}$ and at a point of $D$ then the function is a constant. which is...
  7. A

    Maximum possible gravitational time speed-up in the universe?

    This question needs to be framed: We track time at the Earth's surface using atomic clocks. We know that objects in orbit have clocks that run slower because of velocity and faster because of reduced gravity, and which effect is dominant depends on altitude as this illustration shows...
  8. J

    Find Maximum Speed of Athlete in 100m Sprint - Solve with Integration

    In a 100 metre sprint, an athlete reaches her maximum speed in 3.0 seconds, starting from rest, assuming constant acceleration. She maintains her maximum speed until the finish, with an overall time of 11.0 seconds. Determine her maximum speed, vmax. I'm trying to solve this problem but it...
  9. W

    What could happen after maximum entropy is reached if

    When: - Vacuum had an absolute mass, relatively limiting expension of all universal matter - Newton's second law could be overridden or negated - [Anything else I couldn't think of]
  10. D

    What is the Lowest Frequency for Maximum Loudness at Point P?

    Homework Statement Speakers L_1 and L_2 are placed at a 2 m distance from each other. The speakers send out soundwaves that are in the same phase and the loudness (?) is examined in the point P (see figure). The velocity of the sound is 343 m/s and the distance L_2P is 6 m. L_1 L_2...
  11. A

    Maximum allowable current for ultra short pulse length

    So I'm designing a system that requires an extremely high amount of current for an extremely short pulse lengths. These pulses would be consecutively spaced at relatively large intervals from one another. I'm just wondering if there is some sort of instantaneous power limit to wires, even if the...
  12. T

    What is the Maximum Gradient a Vehicle Can Climb Based on Known Load Conditions?

    . I need to calculate the maximum gradient that a specific vehicle will be able to climb when subjected to known load conditions. There are 6 calculations required for 4 sets of conditions. Values common to all calculations: - Weight of vehicle : 1800kg Weight of payload : 500kg Max gross...
  13. Govind_Balaji

    Find maximum velocity in Acceleration-Time Graph

    Homework Statement Find the maximum velocity of the particle using the graph given.(See attachment) Homework Equations Initial velocity was not given. I assumed it to be 0. In book, the solution was 55m/s^2 The Attempt at a Solution Initial acceleration was ##10m/s^2##. Final acceleration...
  14. J

    Maximum value of directional derivative (Duf)?

    Hi guys, I am confused from what I know the max. value of directional derivative at a point is the length of the gradient vector ∇f or grad. f? Why does the answer in my book of a question say that Max. val of Duf = (√3145)/5 when ∇f = (56/5) i- (3/5) j ? Thanks
  15. B

    Maximum tensile stress on rod with eccentric rotating tensile load

    I was solving this paper, but got stuck on this question, and it's been bugging me endlessly. I don't know what I'm missing. Here's the question: A rod of 20 dia is fixed to the ceiling of a roof on one end. A rotor of 50 kg mass is attached to the free end with bearings. The CG of the rotor...
  16. B

    MHB Maximum volume using AM GM inequality

    Hi everyone, I'm a bit confused with this question. An airline demands that all carry-on bags must have length + width + height at most 90cm. What is the maximum volume of a carry-on bag? How do you know this is the maximum? [Note: You can assume that the airline technically mean "all carry...
  17. R

    How High Does the Apple Reach When Thrown at 55 Degrees?

    Homework Statement You want to throw an apple to your buddy on the second floor balcony that is 2.2m above where you release the apple. When you throw the apple with a speed of 14m/s at an angle of 55° above the horizontal, it gets to your buddy who catches it on the way down. Find the maximum...
  18. C

    Maximum Likelihood Estimation for Constant x and Exponential Distribution of z

    Homework Statement y=x+z where the pdf of z is exp(-v-2) for v >= 2 and 0 otherwise and x is just an unknown constant what is the MLE of z which maximizes the condition density f_v(y-x)Homework Equations The Attempt at a Solution f_v(y-x) = integral of -2+x to infinity of exp(-y+x-2) dy =...
  19. U

    What Is the Maximum Slit Width in a Double Slit Experiment?

    Homework Statement Estimate maximum slit width of a double slit. Homework Equations The Attempt at a Solution Letting the slit width be a, The intensity profile of such a system is: I = I_0 sinc^2\left( \frac{Nkasin \theta}{2} \right) cos^2\left( \frac{kd sin\theta}{2}...
  20. S

    Maximum Extension of a Massless Rod After Impact with a Falling Ball

    A ball of mass 'm' drops from a height 'h'. Which sticks to a massless hanger after striking it .. Neglect overturning. Find out maximum extension in rod, assuming that the rod is massless..
  21. J

    Maximum allowable probability of error for the (8, 4) Hamming Code

    Homework Statement What is the maximum allowable probability of error is a typical digit in order that the (8, 4) Hamming Code can be used with probability .999 that the receiver will not be misled (i.e., 3 or more errors occur) in a single word? Homework Equations...
  22. N

    Maximum Power Point Tracking for Solar Cell

    have two solar cells which I have connected in Parallel to increase the current provided to the system. I want to calculate the maximum Power point tracking for my solar cells. There was no information provided by the seller except the one below. I have attached the open circuit reading of...
  23. Saitama

    MHB Maximum area of triangle and quadrilateral - given perimeter

    Problem: Let $0<a<b$ i)Show that amongst the triangles with base $a$ and perimeter $a+b$, the maximum area is obtained when the other two sides have equal length $b/2$. ii)Using the result (i) or otherwise show that amongst the quadrilateral of given perimeter, the square has maximum area...
  24. KiNGGeexD

    Maximum velocity of a mass undergoing SHM

    Question; A 1 g mass is suspended by a spring and executes simple harmonic motion when released. At time t=0 the displacement is 40 cm and acceleration is -3.6 cm/s^2. What is the spring constant k? What is the maximum velocity of this mass? At what time would the modulus of the maximum velocity...
  25. J

    How Long Does It Take a Diver to Reach Maximum Height?

    Homework Statement find time to reach max height max height is 0.870m mass of diver is 70kg makes an angle when diving of 85 degrees Homework Equations Vf=Vi + gt The Attempt at a Solution Vi=0 Vf=gt t=vf/g = 0.870/9.8 not sure if this the right approach
  26. M

    Why do functions have maximum and minimum values in intervals?

    Hello, This might seem like a very basic problem for the most of you but I am a little bit confused as to the problem of maximum and minimum values. For, example I do understand why y = x^2 has no absolute maximum as y-->\infty as x-->\infty... However, in the closed interval, say, [0, 2]...
  27. T

    Maximum allowable length for a column under a load (buckling question)

    Homework Statement Here is the problem with the solution: I feel like the solution should be 10.74m. The maximum allowable length should be the lower one. This is because, for example, if we make the column 11m in length. The Pcr in the zy plane would decrease and since we are applying...
  28. Z

    Maximum average power for a purely resistive load

    Homework Statement Consider the circuit shown in the figure below. Suppose that R = 46Ω and Z=j14Ω. Determine the maximum average power that can be delivered to the load if the load is pure resistance. Note that the voltage source magnitude is given as Vmax, not VRMS Homework Equations j =...
  29. LotusTK

    Photoelectric Effect - Maximum Wavelength

    Hi, I am currently revising photoelectric effect, and i have this question: A metal surface at zero potential emits electrons from its surface if light of wavelength of 450 nm is directed at it but not if light of 650nm is used. Explain why photoelectric emission happens with light of...
  30. F

    MHB Show that the maximum likelihood estimator is unbiased

    Consider a density family $f(x,{\mu})=c_{{\mu}}x^{{\mu}-1}\exp(\frac{-(\ln(x))^2)^2}{2}$ , where $c_{{\mu}}=\frac{1}{{\sqrt{2{\pi}}}}\exp(-{\mu}^2/2)$ For a sample $(X_{1},...,X_{n})$ fnd the maximum likelihood estimator and show it is unbiased. You may find the substitution $y=\ln x$ helpful...
  31. C

    Dragstar's maximum acceleration

    Homework Statement A dragstar which weighs 1000kg has a wheelbase 6m long and is assumed to have an unlimited amount of power available to the rear wheels. If the centre of mass of the vehicle is situated 1m forward of and 0.5m above the contact point of the rear wheels and the coefficient of...
  32. A

    How Can Software Identify Maximum Curvature on a Graph?

    Urgent!How to find the point where Maximum Curvature occurs on graph? Homework Statement The graph(2D) is plotted from experimental data, not from a given equation and within certain limit. I want to know the x&y coordinate where the maximum curvature occur via software means, not manually...
  33. C

    Lagrangian Multipliers to find maximum and minimum values

    I'm just learning this theory and the maths is really trivial but the theory is slightly confusing me. I understand that if we have some function z=f(x,y) and we graph this on a three dimensional set of axis we will have some surface, we can then extend this by creating level curves in the...
  34. T

    Maximum radius given rps, static and kinetic friction coefficients

    Homework Statement A computer scientist has dropped a tiny pizza crumb onto a magnetic disk. Later, when it's turned on, the disk is rotating at 88 revolutions per second about its axis, which is vertical. The coefficients of kinetic and static friction between pizza crumbs and the disk are...
  35. J

    Finding the bending moment for maximum stress

    Hi, I am looking to use My/I to find the maximum bending stress for a beam My problem is I don't know how to find the bending moment- the reason why: The beam has more than one point of load, aside from the reaction points. (Pin joint cantilever beam) The sum of all moments equal 0...
  36. V

    Engineering Calculating Maximum Average Power of AC Circuit

    Homework Statement Homework Equations The Attempt at a Solution The text in the black box looks wrong to me. The method below is how I would do it. Why is it wrong? $$To\quad maximize\quad power,\quad \overrightarrow { Z_{ L } } =\overrightarrow { { { Z }_{ th } }^{ * } } \\ \\...
  37. E

    Common emitter BJT Amplifier - maximum input voltage

    Here is my circuit: β=100, VCEsaturation=0.2V, VBE=0.7V, λ->0, VT=26mV After completing DC analysis I got these results : IB=18.05μA, IC=1.805mA, IE=1.823mA, VCE=4.658V>VCEsaturation=0.2V, gm=0.06943, rCE=∞ Ω, rpi=1.44kΩ. After completing AC analysis I got Av=-115.7, Ai=72.23, Rin=1.040kΩ...
  38. A

    Maximum gradient of a normal to the curve

    Homework Statement complete problem attached Homework Equations The Attempt at a Solution part I in this question was a bit tricky but i managed to solve it , when i read part II i understood nothing , he usually asks about the tangent not the normal , he asks about the point...
  39. A

    How Do You Maximize Power Transfer in a Circuit with Parallel Load Components?

    Homework Statement For the following circuit, find the values of RL and CL that maximize the power extracted from the generator. https://dl.dropboxusercontent.com/u/15390227/circuit.jpg Homework Equations Z = R + jX XL = jωL XC = 1/jωC The Attempt at a Solution Immediately...
  40. P

    Maximum angular velocity from a swing carousel

    The problem is to find out the maximum angular velocity that the swing carousel can spin at before the chain holding the passenger breaks. The maximum tension that the chain can withstand is known (T). The radius from the centre of the ride to the chain when stationary is known (r). The...
  41. P

    Finding maximum likelihood estimator

    Homework Statement The independent random variables X_1, ..., X_n have the common probability density function f(x|\alpha, \beta)=\frac{\alpha}{\beta^{\alpha}}x^{\alpha-1} for 0\leq x\leq \beta. Find the maximum likelihood estimators of \alpha and \beta. Homework Equations log...
  42. anemone

    MHB Maximum Value of Positive Integers in a Product-Sum Equation

    Let $p,\,q,\,r,\,s,\,t$ be positive integers such that $pqrst=p+q+r+s+t$. Find the maximum possible value of max $\{p,\,q,\,r,\,s,\,t\}$.
  43. H

    How to calculate maximum load of the box

    Hi I attached the file. there are 3 different types of forces applied. and material's yield strength is 55.1 MPa or 8000 psi. I want to find maximum load of box for each types. I don't know which equation I can use. because the box is empty. the dimension of box is width: 70mm, length...
  44. tipu_sultan

    Maximum Short Circuit Current (Fault-Current) before breakdown of cond

    Here find some attached circuit of three phase cabinet which operation voltage is 400V /415V and have operated current 800A, fault current for 1 sec is 46 KA and have incoming and outgoing links with one phase Lighting and socket. I want to know is there some method that one can calculate...
  45. I

    How Do You Compute the MLE for p in a Treatment Effectiveness Study?

    Homework Statement 1. An experiment consists of giving a sequences of patients a risky treatment until two have died, and then recording N, the number who survived. If p is the proportion killed by the treatment, then the distribution of N is: P(N=n)=(n+1)(1-p)n p2 1)Find a general formula...
  46. B

    Is the Maximum Number of Elements Limited to 137 Due to Electron Speed?

    Reading this wiki article http://en.wikipedia.org/wiki/Atomic_electron_configuration_table I was surprized to see they predicted 172 elements. Now, since the speed of the electron of Hydrogen is vH = 2,18816 (C/137), and since speed in further elements is multiplied by z (number od protons)...
  47. D

    Maximum Height of model rocket

    Homework Statement A model rocket is launched with an initial velocity of 55 m/s. Its height as a function of time can be modeled by h(t) = -4.9t2 + 55t. Determine the maximum height reached by the rocket.Homework Equations h(t) = -4.9t2 + 55tThe Attempt at a Solution h'(0) = 55, since h'(t) =...
  48. B

    Implications of the tangent of a function being at a maximum

    Does the tangent of a function being at a maximum necessarily mean that the function itself is at a maximum? I am supposed to find whether del is at a maximum at w = (tansig*taneps)^(-1/2) del = arctan(w*(tsig-teps)/(1+(w^2*(tsig*teps)))) tansig and taneps are constants and w is the...
  49. A

    Efficiency - how to get the maximum efficiency in a circuit?

    efficiency -- how to get the maximum efficiency in a circuit? Homework Statement I don't quite understand how to get the maximum efficiency in a circuit. Exemple. 4 Volts and 2.0Ω will produce 8 watts with a current of 2.0 amps. 5 Volts and 3.1Ω will produce 8 watts with a current of...
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