Maximum Definition and 1000 Threads

If there is maximum speed in the universe and we call it c, and it is not relative, is there also some ultimate rest state, an unrelativistic "0" speed? I sort-of know that there is none, because it would mean that there exists a non-relativistic frame of reference. But I can't quite grasp what...

Homework Statement Find the absolute maximum and minimum values of f(x,y) = y^2+x^2 -4x + 11 on the set D where D is the closed triangular region with vertices (8,0),(0,4) , and (0,-4) . Homework EquationsThe Attempt at a Solution [/B] fx = 2x - 4 fy = 2y Critical point = (2,0) The...

Homework Statement Find the 4 critical points f(x,y) = 5ycos(9x) closest to (0,0) Homework EquationsThe Attempt at a Solution fx = -45ysin(9x) fy = 5cos(9x) fxx = -45*9ycos(9x) fyy = 0 fxy = -45sin(9x) y=0 x=pi/18 (0,pi/18) (0,pi/18 + pi/2) (0,pi/18 - pi/2) (0,pi/18 + 3pi/2) Was not...

Homework Statement A spring with spring constant k = 60 N/m and unstretched length of L0 = 2.2 is attached to the ceiling. A block of mass m = 1.5 kg is hung gently on the end of the spring. 1) How far does the spring stretch? Answer is .245 m 2) Now the block is pulled down until the...

Hi guys, I've been given a question where it asks me to work out : work done , the tension in lifting cable and the maximum power developed and the problem is that I don't know what the maximum power developed means. Isn't it the same as the work done ? If its not, then what's the formula to...

If a question asks for the direction of the maximum gradient of a scalar field, is it acceptable to just use del(x) as the answer or is the question asking for a unit vector? Thanks

Homework Statement "What is the maximum angle above the horizontal with which a projectile can be fired so that its distance from its point of firing (on earth) is always increasing?" [/B]Homework Equations r^2=t^2 v^2 Cos[x]^2 + (-4.905 t^2 + t v Sin[x])^2 The Attempt at a Solution I have...

Let $x,\,y,\,z$ be real numbers such that $x+2y+3z=86$ and $x^2+y^2+z^2=2014$. Find the maximum of $x$.

Homework Statement A person with the mass m swinging in a pendulum motion (vertical circular motion) hangs by a rope (with negligible mass) that can stand a tension of two times the person's mass. I am trying to calculate the maximum angles of the circular motion without the rope breaking...

Homework Statement Find the value of R where RL equals 50 Ω, for maximum power transfer I= 2A, R_L=50 ohms Homework Equations R_th=V_oc/I_sc KCL,KVL,V=IR The Attempt at a Solution First, I created an open circuit including everything except R_L. Then i tried to solve for the Open Circuit...

Homework Statement f(x) = 1/(1+|x|) + 1/(1+|x-a|), a>0 I am to show that the maximum value of this function is (2+a)/(1+a). Homework Equations None in particular. Derivatives for 1/x and the chain rule for f(g(x)). The Attempt at a Solution I have parted this function according to 0 <= x...

$a$ and $b$ are positive real numbers such that $a^2-ab+2b^2=8$. Find the maximum value of $a^2+ab+2b^2$.

Hello just wondering what is the limit to a maximum pressure on earth. start with say a gas canister at 1000 bar. If you put that inside another canister at 1000 bar could you increased the original canister to 2000 bar now (1000 bar pressure above the outer canister) And keep repeating with...

Hello, I was going through Perron method within the text and came across Lemma 1 which states that if u1,u2 are subharmonic on some domain D and satisfies Cauchy boundary conditions (for example), then so does max(u1,u2). I am quite confused in terms of proving the statement. How would one...

For example, I have a pendulum with amplitude of 2m, when the pendulum is at a displacement of 2m, wouldn't the acceleration be negative as the restoring force is acting towards equilibrium? The equation I am taught is that maximum acceleration is (2*pi*frequency)^2 * amplitude, which is a...

Find the minimum value of F(x)=\int_{x^2-2x}^{0} 1/(1+t^2)\,d Does it has a maximum value? why?

Homework Statement If you have a water tower (basically a cup) open to the atmosphere, with a siphon (basically a straw) inside it as shown below: (sorry assume the height h extends to the bottom of the cup instead of only part way - would that change anything though?) Then what is the...

1. Homework Statement Problem 1) A photon having 44 keV scatters from a free electron at rest. What is the maximum energy that the electron can obtain? I already used all of my attempts on this problem so I can't check whether or not any attempt on this forum is successful. Hopefully that's...

Looking at the fields that result from a uniformly moving electric charge, derived from the Lienard-Wiechert potentials, you find that an observer at a right angle to the direction of travel will see a magnetic field proportional to ##\beta (1 - \beta^2)## suggesting a maximum field at ##\beta =...

If $$z$$ is any complex number, Then Maximum value of $$f(z) = \left|z-i\right|+\left|z-3-4i\right|-\left|z\right|-\left|z-1\right|$$.

Long story short, I'm working on a senior design project this semester, (involves converting a gassified biomass to a liquid ethanol using a palladium catalyst embedded in a silicon microporous matrix). I'm currently struggling what should be a fairly basic equation, but it's been too long...

this is the given problem: and this is my attempt at a solution: I am stuck here as the variable y is unknown and I want to express y in terms of x, but cannot figure out how to do so. Thanks for any help!

I need some help working the following problem. I have everything answered except #5 and that is where I get lost. Any help would be greatly appreciated. Suppose a field goal kicker (American football) can kick the ball at a launch speed of 58 miles/hour. If the ball is placed at the...

I calculated a, b, and c, I just need help with d. 1. Homework Statement [/b] The operation of a "reverse" three-speed automotive transmission is illustrated the in figure. Each of the gears rotate about a fixed axis. Note that gears A and B, C and D, E and F are in mesh. The radii of...

Homework Statement "A drinking straw of length 1.5a and mass 2m is placed on a square table of side a parallel to one of its sides such that one third of its length extends beyond the table. An insect of mass \frac{1}{2}m lands on the inner end of the straw (ie, the end which lies on the...

1. Homework Statement A voltage source of 240 v having an internal impedance of (3-j4) ohm, is supplying power to a complex load impedance Z1. What will be the maximum power transferred to load? 2. Homework Equations 3. The Attempt at a Solution

Homework Statement A beam of light is incident on the boundary between a piece of glass to air. The index of refraction of the piece of glass is 1.4. Find the critical angle. It is quite simple to figure out this problem. Sinpheta critical = n2/n1 (as long as n1 is greater than n2)...

Homework Statement the correct ans is A. but my ans is D. When the thin polaroid is placed in front of S1 , it slow down the light wave . as v = fλ. as v decreases , λ also decreases. This cause the x ( fringe separation ) to be smaller. And this also cause the light ray to conccentrate on...

Homework Statement How does a dielectric increase maximum electric field strength? From the two cases where a dielectric is inserted into a charged capacitor after it is disconnected and after it is remained connected it seems that E will either decrease or stay the same. But I read in...

Homework Statement A square shaped block of mass m travels to the right with velocity v on a frctionless surface. The block has side-length 2d. The block hits a very small, immovable obstacle on the floor and starts to tip. The block has moment of inertia Icm=2/3md^2 about an axis through...

Homework Statement Two uniform bars have masses and lengths of m, l and 2m, 2l, respectively. The bars are pivoted at the common frictionless hinge as shown. The bars are released from the horizontal position in such a way that they collide and stick together at the bottom position. After...

When Stiochiometrically correct mixture(equivalence ratio=1) is burned in air fuel cycle some of the air is still left after point 3 in P-V diagram...Theoretically the whole fuel and air should combust till point 3..Then why is some air left out there.And thus the max temp is when mixture is 6%...

Homework Statement Find the Thévenin equivalent of the circuit and the required value of the load for maximum power transfer for Z = 15 + j24 Ω . Homework Equations Voltage divider equation and Z_{in} = Z_{load} 'complex conjugate' for maximum power transfer. The Attempt at a...

Homework Statement So i am trying to find the maximum power transfer of a circuit. See attached image. Is there any way to automatically drag the cursor of a plot to the maximum/minimum amplitude of a signal when simulating LTspice? Or do you need to manually drag the cursor and estimate values...

Homework Statement If you didn't already, download splineFunctions.zipView in a new window. This contains the splineE7.p and splinevalueE7.p function files. The syntax is as follows: If Xdata and Ydata are vectors with the same number of elements, then four various splines can be created as...

I have a HSS 6x6x1/4in steel square tube that is 63.5in long. I am trying to determine its maximum load when standing vertically on end (assume it is perfectly vertical and fixed at both ends). I have calculated the following: Moment of Inertia = 28.6in^4 radius of gyration = 2.34in...

Homework Statement The maximum error in the measurement of the mass and length of the side of a cube are 3% and 2% respectively. What is the maximum error in the measurement of density? (The questions has options as:- (a)3% (b)5% (c)6% (d)9% (e)12% Homework Equations Density(ρ)=...

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...

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.

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...

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

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

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...

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...

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...

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]

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...

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...

. 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...

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...