Combination Definition and 538 Threads

  1. J

    How to Calculate Resistance and Voltage in Combination Circuits?

    Homework Statement The circuit at the right is a combination circuit. The resistance values are R1 = 3.28 R2 = 3.28 R3 = 6.58 Determine the equivalent resistance (for the combination of three resistors), the voltmeter readings and the ammeter readings at the indicated locations...
  2. H

    How Many Ways Can You Arrange 3 Birds to Feed if Two Don't Get Along?

    Homework Statement You have 7 birds lined up to feed. Only 3 birds can feed at a time. Two of the 7 birds do not like to feed with each other. How many combinaions can be formed?Homework Equations C(n,k)=n!/k!(n-k)!The Attempt at a Solution Attempted solution C(7,3)-C(7,2)=21. That is the...
  3. D

    Vector is not a linear combination of two vectors [matrix algebra]

    Homework Statement Find a vector w in R3 such that w is not a linear combination of v1 and v2 Homework Equations v1 = [1;2;-1] v2=[2;-1;-2] The Attempt at a Solution my question is : does w need to be in the span of v1 and v2?? Could i just choose [1; 1; 1] as my w vector??
  4. S

    Brackets indicated a combination

    I'm quite stuck with how to approahc this type of question. Σ(k=100 to 201) Σ(j=100 to k) (201 over k+1)(j over 100) Sorr for the set up, it is tricky to type. The brackets indicated a combination.
  5. G

    Optical Lens Combination Problem: Calculating Image Location and Magnification

    A converging lens of focal length 7.94 cm is 19.7 cm to the left of a diverging lens of focal -6.04 cm. A coin is placed 12.2 cm to the left of the converging lens. A) Calculate the location of the coins final image. B)Calculate the magnification of the coin's final imag. The equation i...
  6. G

    Combination & Distribution: Solving for Musical Instrument Assignments

    Combination & distribution Homework Statement Six musical instruments are available for loan. Assuming all are loaned, in how many different ways can these be assigned to the four musicians in the graduate music ensemble such that each instrument is loaned to one musician...
  7. W

    Combination of 3 springs at given angles

    Three springs of spring constant kare connected to a body of mass m and rigid supports, so that the angles are A 90 degrees between two and 135 degrees between each of these two and the third. B 120 degrees between any 2 adjacent ones. Find time period of vibration. I worked out a...
  8. L

    Refractive Index of Water/Glass Combination

    If a beam of light enters water from air at 30 degrees from the normal. It then enters a glass block and exit into air. At what angle does it exit from glass to air ? My friend says it exist again at 30 degrees to normal. The refractive index of water is 1.3 and glass is 1.5.
  9. K

    Calculating Probability for Selecting Tanks with Specific Characteristics

    For this question, i already solve the part a and part b. For the part c, i try to solve it but i can't get the answer that given. Can someone explain to me? How to do the part c. Thanks!
  10. N

    Analysis Applying Combination Rules

    True or False, with a proof or counterexample. a) If bn ≠ 0 and an/bn →1, then an-bn → 0 b) If bn ≠ 0, bn is bounded and an/bn → 1 then an-bn → 0 At the moment I cannot even see which is false so I am struggling with this question. I think the proof will require use of the quotient...
  11. U

    Combining Errors for Trigonometric Functions: Understanding the Formula

    This is just my own practise question. I have a relationship of r = \frac{D}{2}sin4\theta The apparent error formula is now: \left(\frac{\Lambda r}{r}\right)^{2} = \left(\frac{\Lambda D}{D}\right)^{2} + 16 \left(\frac{\Lambda \theta}{tan 4 \theta}\right)^{2} Using a standard...
  12. T

    Combination of lenses and mirrors.

    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...
  13. W

    Need help with combination of dot product and cross product question

    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...
  14. D

    Limit of a squareroot combination.

    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...
  15. A

    Integral of Bessel functions combination?

    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
  16. Saladsamurai

    Product matrix as a Linear Combination

    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...
  17. D

    Pendulum driven by combination of horizontal and vertical excitation

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

    Permutation and combination of computer text

    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...
  19. H

    Linear Combinations: Finding Vectors of (x,y)

    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)?
  20. T

    Civil Engineering/Power Engineering combination question

    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...
  21. C

    Permutation and Combination: Understanding the Use of P and C in Arrangements

    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...
  22. G

    Express a as a linear combination of b and c

    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...
  23. T

    Im an EE looking to for speciality and combination advise

    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...
  24. D

    Linear combination of a matrix

    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...
  25. K

    Can Vector v Be Expressed as a Linear Combination of v1, v2, v3, and v4?

    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.
  26. C

    Temperature combination, Homework (HELP)

    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...
  27. R

    Formula for this combination problem

    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...
  28. Z

    Combination Circuit Question: Determining Current

    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+...
  29. S

    Tips for analyzing a combination circuit

    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...
  30. V

    Find the Best Metal Combination for Fishing Alarm Circuit

    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...
  31. I

    Which to Use: Permutation or Combination for Arranging Company Directors?

    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...
  32. S

    Need help with analyzing this combination circuity

    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...
  33. J

    Optics - combination of thin lenses

    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!:)
  34. JJBladester

    What are linear combinations and linear operators in differential equations?

    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))...
  35. D

    Solve Combination Problem: C(n,3) = C(n,8)

    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...
  36. C

    Is Every Convex Combination of Optimal Points in Linear Programming Optimal?

    Homework Statement The question is "Show that in the case of any linear program, every convex combination of optimal extreme points is optimal." Homework Equations ok so if (x_1,...,x_n) is a list of the optimal points then a_1(x_1)+ ...+a_n(x_n) is the convex combination st a_i>0...
  37. S

    What Conditions on c, d, e Fill a Dashed Triangle Using Vectors u, v, w?

    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?
  38. X

    Linear Algebra (Abstract impossible combination question)

    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) +...
  39. L

    Programs Need advice in choosing PhD topics, combination of physics and computer science

    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...
  40. R

    Precise definition of linear combination

    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...
  41. Shackleford

    Find Final Image Location & Magnification in Lens Combination 21

    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...
  42. B

    Rotational Inertia of a combination around a fixed axis

    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...
  43. C

    Is there a formula to find a combination of numbers

    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...
  44. iamhumble

    Correct Combination Thought Logic Being Followed

    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...
  45. H

    Biostats, Combination and Probability

    Homework Statement A bite from a coastal taipan proves fatal 30% of the time. If three Queenslanders are bitten during 1 year, what is the probability that all 3 will die? That exactly 2 will die? That at most 1 will die? The Attempt at a Solution Assuming independence, then the...
  46. P

    OCHEM - Linear Combination of Atomic Orbitals

    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...
  47. R

    How Are Circular Permutations of Indistinguishable Objects Calculated?

    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...
  48. R

    Arranging Letters of 'Daughter' with Specific Conditions

    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...
  49. T

    Simple combination problem( arranging objects in rows)

    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...
  50. R

    Finding the Number of Words with Fixed Vowel Order

    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...
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