Multiple Definition and 1000 Threads

I come across questions where I have to match the equation with its contour map and graph. Examples: z = sin(xy) z = sin(x-y) Right now I'm using Wolfram Alpha for all of these, but supposing these appear on an exam... how do I graph it by hand? :confused: For example, for z =...

If I have two strings of equalities within the same align or alignat environment, and the first one is long enough to need two lines, I would want the result to look like A+B+C=D=E =F=G=H I=J rather than A+B+C=D=E =F=G=H I=J Is there a way to do this? I suppose it can be done...

Hello, I am in the process of designing a voice activate control system for my truck for various things like wiper motors/windows/etc. The development board I am using will have up to 20 outputs @ either 5 or 12V DC around 10mA. However, this is not strong enough to drive a wiper motor or...

I need help with all of these. I am so lost on all of them and have been working for hours. Anything is so appreciated. _____1. A rock is dropped off a cliff and falls the first half of the distance to the ground in t1 seconds. It falls the second half of the distance in t2 seconds. What...

Homework Statement Suppose f(x) is a piecewise function defined as follows f(x) = 2x^2+2 ---- > x < 1 = 2x^2 - 3x ----- > 1 ≤ x ≤ 2 = 2 - (6/x) ----- > x > 2 Graph f(x) for 0 ≤ x ≤ 3Find the left and right hand limits of f(x) as x approaches 1 and as x approaches...

A 4.0 N and 3.0 N force act simultaneously on a circular mass of .25 kg, initially at rest floating in space. a) Find the net force acting on the mass (magnitude and direction) I found the netforce (Resultant) = 5N b) Find the acceleration of the mass, magnitude and direction. The...

hallo I am trying to calculate the probability to obtain 2 sets of linearly independent vectors from a set of binary vectors of length k. For example: k = 4, and therefore I have 2^k = 16 vectors to select from. I want to randomly select 7 vectors (no repetition). What is the...

Homework Statement This is more of a concept question rather than a HW problem, but I have two Circuits shown in the image attached. I am not really understanding how a short would affect resistance in these cases. 2. The attempt at a solution For figure 1 I am considering one of two...

Homework Statement I can't understand what's causing this bug. I'm not trying to actually use this program, but it's just something I made up to learn how it works, and understand why things don't work, while I'm learning C++. So my question is, what's causing this program to get this error...

Homework Statement I'm not sure where to begin with this problem A car is traveling West at 35mph. 45 feet in front of this car is an intersection , and another car is about to turn in front of the westbound car. Could the car safely complete the left hand turn , or would the westbound car...

Here's a slight brainteaser for you all ! Seems simple at sight but can be harder than you think :D P.S I'm working on it as of now, it's an interesting question. Solve : 1/(√x+√(x+2))+1/(√x+√(x-2))=1/4

I am having a problem coming up with an empirical formula for multiple objects moving with the same speed relative to each one up. I.e. there is a cart moving with speed u relative to me, and inside it is a cart moving speed u relative to the cart is inside it. and inside that cart is a cart...

So I've seen quite a variety of notations that deviate from what we've learned in our "normal" math courses. In math classes we write a volume integral as: \iiint_W \rho\, d V but somehow once we start doing E&M and QM, professors often just drop the extra integral signs: \int_W \rho\, d V...

And by calculated I mean calculated in a fairly simple way. Single reactant problems have the integrated rate laws that relate time, final concentration, and initial concentration. However, I can't seem to find anything on calculating concentration at time t in a reaction with multiple...

Hi all I am using some code that was originally written in F77, but as it is many thousands of lines long, I haven't the time to go changing it. There is one section of code that refuses to work, but I'm assuming it must have at some point since the code has been used in the past...

Homework Statement It has been a while since I have really been involved in trig seriously, But I felt it appropriate to go in this particular forum because in my classes from years back "precal" was the title associated with trig (: The Problem: sin(X) / sin(X/2)...

Homework Statement I need to find whether or not the Ʃ1/(n(ln n)(ln(ln(n)))) (from 2 to infinity) converges or diverges using the Integral test. I think the best question to ask is where to start with the integral? Homework Equations None. The Attempt at a Solution I've...

I recently got a starter home learning course on quantum mechanics and well its basically at the stage of explaining the simplistic basics of it. Now one part of the lecture video mentions that if a photon has two possible pathways it can take. They cancel each other out and there for it...

Homework Statement Hi everyone, Consider the following system of (first order) differential equations: \dot{x}=f(t_1,x,y,z) \dot{y}=g(t_2,x,y,z) \dot{z}=h(t_3,x,y,z) where \dot{x}=\frac{\partial x}{\partial t_1}, \dot{y}=\frac{\partial y}{\partial t_2}, and \dot{z}=\frac{\partial...

I am trying to calculate the forces between ten small cylindrical magnets stacked (inside a tube so they cannot flip/shift) so that consecutive magnets are repelling. The bottom magnet is attatched to the bottom of the tube with, let's say, the positive pole facing up. Then the second has a...

You attend a multiple choice question exam, and you have n (say 10) questions whose answers you don't know at all. There are 4 choices in each question. A correct answer yeilds 1 marks. An incorrect answer has penalty of -0.25 marks. Is it wise to attempt all the questions in random? It...

I'm studing the Riemann-Stieltjes integral \int_a^b f dg on closed intervals [a,b] of the real line, and the natural question came to me: How would a multiple R-S integral be defined, say, on some set D \subset \mathbb{R}^2 ? Would one use some kind of two variable integrator function...

Hi. I have a test on friday, and I was given a sheet to review. However, many of these questions I have no clue how to answer, as my teacher never went over them. I'd really appreciate a step by step walkthrough on how to do the problems, as I don't want the answers, I want to know how to...

A calculus book I am looking at ("Early Transcendentals") does not seem to mention it, but it seems like it is possible, with the constants of integration being functions that have no component in variable being used for the integration. Any insight? Articles?

When we look at a mirror we see our image but the light that reaches our eyes also reflects off our bodies back to the mirror again and back to our eyes. Do we see multiple images of our self but somehow ignore all but the primary reflection?

Homework Statement In a collision between two unequal masses, how does the impulse imparted to the smaller mass by the larger mass compare with the impulse imparted to the larger mass by the smaller one? A) It is smaller. B) The answer depends on how fast they are moving. C) They are...

Homework Statement which are properties of all Electromagnetic radiation I the travel at the speed of light in space II they propagate through the creation of mutually perpendicular electric and magnetic fields III they are constant and do not vary with time IV they have the same frequency and...

My current problem: I have a machine sending a file every few seconds over its wired connection. While this is occurring, I want to be able to access a wireless network and download a file from a mapped network drive without interrupting the aforementioned file transfers. Any suggestions as...

Homework Statement I need to prove that a 4x4 matrix has 2 zero eignenvalues. 2. The attempt at a solution I have tried to obtain the characteristic equation but calculating the determinant of a relevant 4x4 is rather daunting as there aren't many zeros. I was wondering if there is...

Homework Statement Given a point P(x,y,z) in a three-dimensional space, let P' denote the projection of P onto the xy-plane and let O denote the origin of the coordinates, and define f(x,y,z) as the area of the triangle. Compute: Integral of the Integral of the Integral of f(x,y,z) under...

Homework Statement A train of length 15 cs* moves at speed 3c/5. 39 How much time does it take to pass a person standing on the ground (as measured by that person)? Solve this by working in the frame of the person, and then again by working in the frame of the train. *cs stands for...

In a recent homework assignment, I was asked to prodive a definition for ∫f(x) in the Region D, provided there was a discontinuity somewhere in the region. To define the integral, we merely removed a sphere centered on the discontinuity of radius δ>0 and found the limit of the integral as δ→0...

collision of two protons at about 1.8 Gev results in p + p --> p + p + p + p* will collision at an energy of 3.6 Gev result in p + p --> p + p + p + p + p* + p* if not what else happens ?

Homework Statement A vertical ideal spring is mounted on the floor and has a spring constant of 132 N/m. A 0.80-kg block is placed on the spring in two different ways. (a) In one case, the block is placed on the spring and not released until it rests stationary on the spring in its equilibrium...

We know that air molecules are subjected to random motion in different directions. A sound wave is a push toward these molecules to make a wave front to make them expand or contract in groups so that we can hear a voice message in our ears. The question is that what happens when different...

I was doing my homework and I ran into a problem of a chain rule within a chain rule. When do I know what to assign a value? For example: y=e^{-x^2} When I assign u=e^{-x} and y=u^2 I get a wrong value. According to cramster I was supposed to assign y = e^u and u=-x^2. But when am I supposed...

Hi I was wondering if someone could help me with this question. Question 4 uploaded in picture. Ok, so far this is what I have found Pipe 1: m1=2kg/s P1=1000kpa T1=100 C h1=334.82kJ/kg Pipe 2: sat-liquid T2=60 C P2= 1000kpa h2=291.36KJ/kg Outlet: sat vapor P3=1000kpa V=20...

I need a little help in figuring out spring rates for a system I'm working on. I'll try to describe it as best as possible: I want to lower a growing stack of material (tubes) from an elevation to the floor. As more tubes are stacked, more weight is added to the system and the load lowers...

Homework Statement Charge Q is located at the (x,y) origin. q is a distance r in the +x direction from Q. 2q is a distance 2r in the +x direction from Q. Which of q or 2q is at a higher potential? q, 2q, or same. The Attempt at a Solution I am thinking that it would depend on Q. Q=0, then...

Homework Statement The block B moves to the right with a constant velocity of 30 cm/s. Given this, which of the following is correct: 1. Speed of block A is 15 cm/s 2. Speed of point P is 60 cm/s 3. Speed of point P is 30 cm/s 4. Speed of block A is 40 cm/s Homework...

Find V2/V1 for the network below: What I did was try to solve by reducing to thevenin equivalents for V1 and V2 separately For V1: I got Vth = V1 Zth1 = 41/15 V1 = I1*(41/15) For V2: I got Vth = V2 ...but I am having trouble trying to find the Zeq2: I know once I find that V2 = I2*Zeq2 and...

This is an assignment problem I have. Can't seem to figure it out. It has two parts, one to prove that the function approaches 0 where y=mx and and one where the function approaches 0 from y=kx2... f(x,y) = (x3y)/(2x6+y2) I've attempted both parts and get stuck on what seems like the same...

Multiple Pulleys and determing Tension Dynamics So i started out with the the equation for the tension of the block-pulley system on the far left in the y direction being: 2T-2g = 2*a1 the equation for the middle block-pulley system is: 2T-2g = 3*a2 the equation for the block on the ramp is...

Hello everyone, My boss has asked me to find if there is any correlation between various sample parameters in a water quality study. We took around 150 samples, and for each one measured around 50 parameters e.g. iron content, free residual chlorine, level of coliforms, pH, etc etc. I...

Multiple Pulley/Friction system Please Help! Homework Statement In the given figure, the coefficient of kinetic friction between the two blocks shown is 0.30 a) Assume that the surface of the table and the pulleys are frictionless. Determine the acceleration of each block and the tension...

Homework Statement Mike is standing below a tower. His friend on top of the tower which is 580 m drops a balloon at him. At the instant mike fires a potato from a cannon moving at an initial velocity of 95 m/s. How long does it take for the balloon and potato to collide? Homework...

Homework Statement Mike is standing below a tower. His friend on top of the tower which is 580 m drops a balloon at him. At the instant mike fires a potato from a cannon moving at an initial velocity of 95 m/s. How long does it take for the balloon and potato to collide? Homework...

Let R denote the region inside x^2 + y^2 = 1 but outside x^2 + y^2 = 2y with x=>0 and y=>0. Let u=x^2 + y^2 and v=x^2 + y^2 -2y. Compute the integral of x*e^y over the region D in the uv-plane which corresponds to R under the specified change of coordinates. I'm having trouble with this one...

In my Optics book (Hecht, 4th edition) the author discusses how, when dealing with a multiple lens system (say, with n many lenses), one can think of the system as a single lens system, with an effective focal length given by: 1/f(effective) = 1/f1 + 1/f2 + ... + 1/fn My question is this...

Homework Statement You have a pair of inclined planes such that a block that slides down one can slide up the other without losing any energy in the transition. The inclined planes are both at an angle θ from the horizontal, as shown in the diagram. The inclined plane on the left is...