Combination Definition and 525 Threads

Homework Statement The lens and mirror in the figure below have focal lengths of +74.0 cm and -59.1 cm, respectively. An object is placed 1.00 m to the left of the lens as shown. http://www.jmlproductions.net/jmlproductions/p36-54.gif I need to find the final image location. Homework...

Homework Statement Let \vec{A}, \vec{B}, and \vec{C} be three vectors which are all not in the same plane. Show that \vec{A}{\cdot}(\vec{B}{\times}\vec{C})=\vec{B}{\cdot}(\vec{C}{\times}\vec{A})=\vec{C}{\cdot}(\vec{A}{\times}\vec{B}) Homework Equations Don't know :( The Attempt at...

Homework Statement find lim x---> infinity sqrt(x + sqrt(x)) - sqrt(x) Homework Equations Conjugate multiplication. The Attempt at a Solution Ok so i know this is probably very easy yet it confuses me. Im guessing youd need to multiply the numerator & denominator by the...

I want to ask if you how to compute such integral like: int(t**2*BesselJ(1,a*t)*BesselJ(1,b*t)*BesselJ(1,c*t), t=1..w) or int(t**3*BesselJ(1,a*t)*BesselJ(1,b*t)*BesselJ(1,c*t)*BesselJ(1,d*t), t=1..w) The same question if any BesselJ is replaced by BesselY. Thanks

Problem Statement Let \mathbf{y} = [y_1\, y_2\, ...\, y_m] And A = \left[\begin{array} {cccc} a_{11}&a_{12}&...&a_{1n}\\ a_{21}&a_{22}&...&a_{2n}\\ a_{m1}&a_{m2}&...&a_{mn} \end{array}\right] Show that the product yA can be expressed as a linear combination of the row...

Hello there, Could some one help me to find equations of motions of this problem attached to this message? thanks a lot Niko

Homework Statement a computer terminal displaying text can generate 16 different colours numbered 1 to 16. anyone of colours 1 to 8 may be used as the "background colour" on the screen, and anyone of colours 1 to 16 may be used as the " text colours"; however, selecting the same colour for...

how can i find out that all vectors of (x,y) are a linear combination of some vectors for example (3,4) and (6,8)?

I've decided that I am going to change my major from EE to Civil Engineering and will continue to take my EE classes that only and i repeat only lead up to Power Engineering classes. In addition to the Civil Eng. degree i will have coursework in Electrical System Design, both commercial...

Hi guys, i have no idea how the Permutation should be used. An example, Find the number of arrangement of all nine letters of the word SELECTION in which a)the two letters E are next to each other Well i can solve this, i just make the EE as one unit so 8P8 b)the two letters E are not...

Homework Statement a=\left( \begin{array}{c} -1 \\ 3 \\ 13 \end{array} \right) b=\left( \begin{array}{c} 1 \\ 2 \\ 2 \end{array} \right) c=\left( \begin{array}{c} 1 \\ 3 \\ 5 \end{array} \right) The Attempt at a Solution Am I supposed to determine...

Im right now entering my third year in Electrical Engineering and I've grown some interest in the area of Power Engineering. For me it's intriguing to know what's behind designing the wiring of a house or a commercial building and how all of the distribution works. Not only in buildings but in...

im given four vectors as a 1x4 matrices: [1,4,2,8]^t = v1 [2,5,3,9]^t = v2 [11,14,12,18]^t = v3 [4,3,2,1]^t = v4 and I am asked to express the vector v= [7,9,6,8]^t in two ways as a linear combination of {v1,v2,v3,v4}? I know the vectors are linearly independent cause none of the...

HI everyone, v1=[1 4 2 8]^t v2=[2 5 3 9]^t v3=[11 14 12 18]^t v4=[4 3 2 1]^t I have to express vector v=[7 9 6 8]^t in two ways as a linear combination v=c1v1+c2v2+c3v3+c4v4 of {v1,v2,v3,v4} Please reply as soon as possible. Thank You in advance.

Homework Statement Four ice cubes at exactly O degrees C having a total mass of 53.5g are combined with 115 g of water at 75 degrees C in an insulated container. If no heat is lost to the surroundings, what will be the final temperature of the mixture?Homework Equations q=m x Cs x ^T q= n x ^H...

Hi, What is the number of possible outcomes of a flipped coin with the following property: Let n be the number of times a coin is flipped, the outcome must be of the form that between two consecutive same side, there is an even number of the other side, or all are of one side... For...

Homework Statement Find the current flowing through each of the resistors in the circuit shown, where \xi = 14V and R=6.3\Omega. Homework Equations I=V/R where I=current (Amps), V=potential different (Volts), R=resistance (\Omega). Resistors in Series: Req=R1+R2+...

Homework Statement So this Monday I will have a test, and I know for a fact that one of the free response questions will be a circuit with a combination of series and parallel resistors.So my question is can you guys give me some tips on how to do these successfully. I know that I need to...

Hello. I manufacture a fishing alarm that is activated when 2 very small rods (each about ½ inch long and the diameter of a small paper clip) come into contact. The rods are perpendicular to each other and form an “X” shape. When the rods do touch to complete the circuit, the surface area of the...

idk if i should post this question here as i couldn't find any specific forum to post at homework section this has to do with statistics. the question is: Question: The Board of a company consists of 4 men and 4 women.The 8 directors are to stand in a straight line so that a photo can be...

Homework Statement the circuit http://img15.imageshack.us/my.php?image=38052495.gif http://img15.imageshack.us/my.php?image=38052495.gif the chart http://img3.imageshack.us/my.php?image=chart.gif http://img3.imageshack.us/my.php?image=chart.gif I need to fill out the chart, I have shown...

What if two converging or diverging lenses were placed side by side, in contact with each other. Where would be the image formed for the converging lens, would it be to the right of the lens combined or to the left? Why? Also, where would it be if both lens were diverging? thanks!:)

Homework Statement I am in a differential equations course currently. The chapter I'm reading is "linear differerntial equations: basic theory". The words linear combination and linear operator are used. Homework Equations L{\alphaf(x) + \betag(x)} = \alphaL(f(x)) + \betaL(g(x))...

Homework Statement C(n,3) = C(n,8) Homework Equations n!/(n-3)!3! = n!/(n-8)!8! The Attempt at a Solution My attempts at a solution are many and varied. But, I figure my problem is with the algebraic operations on factorials. Logically, since the numerators are both n!, I figure...

Homework Statement Under what restrictions on c,d,e will the combinations c*u+d*v+e*w fill in the dashed triangle? Homework Equations The Attempt at a Solution I think c,d,e>=0 and bcos the triangle it's in a plane maybe remove one of c,d or e doing c+d+e=number?

Homework Statement Chicken nuggets are only sold in baskets of either 7 or 11 nuggets. What is the largest number of nuggets that is impossible to order exactly? You must prove that your answer is correct. Homework Equations Not sure what equations could be used, but I guess 7(x1) +...

Hi all, I am just joined, so I am new here. I have a bachelor in Physics, and master in Telecommunication management. I have few years working in ICT projects doing varied stuff start from programming and network design. However, I did not feel satisfied with this kind of work. Since I can't...

i know that a linear combination of the vectors {v1,v2,...,vn} is any sum with terms that are scalar multiples of those vectors. But is a1v1 + a2v2 the same linear combination as a2v2 + a1v1? i know they evaluate to the same thing because vector addition is commutative but if i wanted to be...

21. Two 25cm focal length converging lenses are placed 16.5cm apart. An object is placed 35cm in front of one lens. Where will the final image formed by the second lens be located? What is the total magnification? HERE IS WHAT I NEED CHECKED. Because the image formed by the first lens is on...

Homework Statement Two particles, each with mass m=0.0036kg, are fastened to each other and to a rotation axis at P, by two thin rods, each with length L=0.68m and each with a mass of 0.0086kg. The combination rotates around the rotation axis with an angular velocity of 13.0rad/s. Find the...

Hi, what I meant in the title was: Let's say that I have two variables in a game and I would like to know how many combination of numbers there is... For example if I have to calculate it for 3 times the possible combinations would be: a,a,a a,a,b a,b,a b,a,a b,b,b b,b,a b,a,b a,b,b...

For fun this semester I decided to take a probability class and doing a lot of the random problems from the book to learn the material. I am finding that sometimes I am over complicating some of these problems. Here is a problem I came across. When I punched in the numbers it didn't seemed...

Homework Statement Draw an LCAO representation of all of the bonding orbitals for C2H2O. Be sure to clearly state the hybridization of the two carbons and the oxygen in addition to drawing the orbital representation. Also show clearly what orbital any unshared pairs occupy. Homework Equations...

Homework Statement Find the number of arrangements possible for arranging m+n things in a circular orientation, such that m things are alike and th other n things are also alike but of diffrent kind as from the first category. Attempt: I fix one thing. I am left with m+n-1 So the...

Homework Statement Arrange the letters of the word daughter such that 1. no two vowels are together. 2. the relative positions of the consonants and the vowels are not changed. The Attempt at a Solution 1. Total arrangements =8! Ways in which at least 2 vowels occur...

Homework Statement there are 3 girls and 3 boys that are to sit in a row. How many ways are there for them to sit in a row if the boys must sit together? Homework Equations n!=n(n-1)(n-2)...(3)(2)(1) The Attempt at a Solution there are 4 possible positions for the boys. o 1 o 1 o 1 o the...

Homework Statement Consider the word MATHEMATICS. There are some vowels: AEAI The remaining 7 letters are MTHMTCS. Find the number of different 11 lettered words formed from these particular letters (repetition not allowed) such that all the vowels occur in the same order AEAI. For example...

Hi! Me and some guys at work has a little argue about how many combinations you can have after that you have throwed away the first globe in bowling. There are 10 pins and 10 postions for them to stand. Are there any quations that works out for this? Here's an example of all the 10 pins, rised...

Homework Statement a box contains 4 black balls and 6 white balls. After randomly selecting 2 balls without replacement, what is the probability that both are the same color. Homework Equations C(n,k)=(n!)/(k!(n-k)!) The Attempt at a Solution I'm just guessing here but...

Hello, I have a tricky problem with resistors combination. please check this url - http://www.disruptedstreets.com/physics.png Can anybody help me with this? Thanks The Question is - Calculate the Current at Point X and potential difference between points A and B.

Homework Statement 1. Initially, we assume the breeder’s plants are all growing in a field where they will be cross-polenated randomly, with genes that can come from anywhere (even neighbouring fields of flowers). A given plant would thus be crossed randomly, so that its offspring would...

Homework Statement P = c1*V1 + c2*V2 Where P, V1, and V2, are equal sized matrices Homework Equations The Attempt at a Solution So what this problem amounts to is me trying to find the steady state of Markov matrix. So I solved for the eigen vectors, and as is my...

Homework Statement V is a n-dimensional euclidean space. U and W are n-1 dimensional subspaces of V. U and W define a reflection (because of their property as n-1 dimensional subspaces). Show that s_U \circ s_W = s_W \circ s_U if and only if W^{\perp}, U^{\perp} are...

Homework Statement There r 8 Stations between city A & city B. What is the number of types of tickets to be printed So as to enable a city passenger to commute from one place to another? Homework Equations The Attempt at a Solution Total number of Stations=10 Types of...

How do you write the permutation and combination formulas using latex. This is the best I can do: n_P_r=\frac{n!}{(n-r)!}

Homework Statement Solve for n. 11_{C}_n=330 Homework Equations n_{C}_r=\frac{n!}{(n-r)!r!} Sorry if the combination formula looks bad. I don't know how to write the comb. formula with Latex. The Attempt at a Solution I solved for n as far as n!(11-n)!=133056 How do I go further...

How To Implement A "combination Circuit" Using .. how to implement a "combination circuit" using PROM and a "shift register" i have sequential circuit i know how to build the flip flop part in it but i need to implement the "combination circuit" using PROM and a "shift register" i...

Homework Statement We have an assignment in physics class to design our own problem which must include these three concepts. I drew the FBD but when it comes to solving a combination problem like this I do not know where to start. Is this problem doable? Or do I have no idea how to make a...

Question 3. Find the total resistance of the following circuit. Formulas: R= V/I If the # of resistors connected in series is n, the equiv. resistor is given by Rs = R1 + R2 +... + Rn likewise with resistors connected in parallel, 1/Rp = 1/R1 + 1/R2 +... + 1/Rn Given: V0 =...

Homework Statement Problem: How many ways are there for 15 boys and 15 girls at a dance to pair up into 15 heterosexual dance couples? Homework Equations This is probably somewhat helpful, but I couldn't figure out exactly how to implement it. nCr = \frac{n!}{k!(n-k)} The Attempt...