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...
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...
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??
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.
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...
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...
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...
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.
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!
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...
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...
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...
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...
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...
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
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...
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
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...
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...