Homework Help

Let S = {w1, w2, ..., wn} be a set of n vectors in R^n and let A be nxn matix whoise columns are the elements of S. Prove that for all b belong in R^n, Ax = b is consistent if and only if b belongs span(S). My approach is: I use contrapositive method to prove both sides First, I prove that if Ax = b is consistent, the b belongs span(s). Assume that Ax = b is inconsistent. Let x be [x1 x2 ... xn] ***This is a vectical vector which means x1, x2, and xn lines up vectically since I cannot express it in this way. This means the last row of all vectors in S are zeros and the last row of b has nonzero integer. Then, b cannot be written as a linear combination of vecto…

I cannot seem to find the answer to this biochemistry question. Q. An example of an enzyme which is regulated in the short term by changing the amount of enzyme is: A) Lactate dehydrogenase B) Hexokinase C) Alanine aminotransferase D) Ornithine decarboxylase E) Glutatmate dehydrogenase Any hints would be much appreciated, Thanks.

There are four masses hanging by a rope from the ceiling in the simplest arrangement possible, mass 4 is attached by the rope to mass three right above it, mass three is attached by a rope to mass 2 right above it, mass 2 is attached by the rope to mass 1 right above it and mass one is attached by the rope to the ceiling. So the masses are hanging vertically from the ceiling attached by the rope. Two of the tensions and three of the masses have been measured. We know: T1 T2 m1 m2 m3 Show that the fourth mass can be expressed as m4 = (m1T2/T1 - T2) - m2 - m3 Solution: We know that m4g + m3g + m2g = T2 so m4 = (T2/g) - m2 - m3 since multiplying the firs…

Let L:P1 >> P1 be a linear transformation for which we know that L(t + 1) = 2t + 3 and L(t - 1) = 3t -2 a) Find L(6t-4) I just want to check the way to calculate this question. Is L(6t - 4) equal to 6*3t - 4*2 = 18t - 8? if not, how to calculate it?

We're doing a new thesis because our proposed research was, I would not say rejected, but my professor asked us "Are you sure you want to do this research?" Our topic was identification of microorganisms in the handrails of public utility vehicles and he said that the only thing we can achieve after conducting the study will be promotion of hand sanitizer. What topics would you like to suggest? My classmates had their study about the effectiveness of the antibacterial component of fabric softeners approved. Others will do a survey type of research about compliance to the rabies vaccine program in urban and rural areas. Please recommend topics for our group. We are thinkin…

Hi all, I'm writing this code in R and it should be relative straight forward, but I keep running into negative numbers, which MI should NOT have! Not sure if the code is buggy or if I'm getting the math wrong. Am I correct in thinking there should be 1 value for MI between each number in an associated list? First the pseudocode: 1 initialize parameters 2 Generate 2 lists of random numbers btw 0,1 called x and y 3 cut number list into bins 4 create frequency table for number of counts in each bin 5 create function to calculate marginal distribution of binned x for every x find the frequency of that value in x save as ki Do the same…

hello i am new to computer science and i dont understand any of this. can anyone here help me asap?

Okay so we went over Cache Memory today in lecture and I thought I was doing okay. However this homework assignment has be stumped. So if anyone can point me into the right direction that would be great! 1. Suppose memory block size is 4 words (1 byte/word) and memory addresses are 32 bits. How many total bits (data + overhead) are required to implement a direct-mapped cache containing 64KB of data? What I did: 64k byes = 16 k words (64/4) log (2) 16k = 14 (2^14 = 16384), 14 bit index tag = 32-14-2 = 16 bits Total: 32 + 16 + 1 = 49 bits 2^14 * 49 = 784 kbits = 98kb I am not even sure if I did any of this right to be honest. I am following som…

1) Let S be an ordered basis for n-dimensional vector space V. Show that if {w1, w2, ..., wk} is a linearly independent set of vectors in V, then {[w1]s, [w2]s,...,[wk]s} is a linearly independent set of vectors in R^n. What I got so far is w1 = a1V1 + a2V2 + ... + anVn so, [w1]s = [a1 a2 ... an] The same thing for w2, [w2]s and wk, [wk]s. My question how to go from there? 2) Let S and T be two ordered bases of an n-dimensional vector space V. Prove that the transition matrix from T - coordinates to S - coordinates is unique. That is, if A,B belong to Mnn both satisfy A[v]T = [V]S and B[V]T = [v]S for all v belong to V, then A = B. My approach…

Can anyone help me I am having a hard time finding the solution? How many directed graphs with 5 nodes, among which one node is isolated, can exist?

Not sure whether to post this here or in the physics board, but I will post it in both for now. I have been falling severely behind in physical oceanography and optical physics. I got an exam on the former in 6 days, an exam on the latter in 11, and I would appreciate suggestions for advice on cramming either of them, especially on where to go for online tutorials. (I have found that MathTV sometimes helped save my neck in math cramming.)

Hi! Im doing my homework questions, and one question asks me to: "Find a function r = f() which gives a spiral that always crosses the x-axis in a 45◦ angle" Now ive done several attempts to finding one, but i guess im confused on how it should cross, should it be hitting the axis every time at 45 degrees? If so, to precisely hit, would the spiral have to consist of straight lines? All help is appreciated Thank you!

1) How to show that if W is a subspace of a finite-dimensional vector space V, then W is finite-dimensional and dim W<= dimV. 2) How to show that if a subspace of a finite-dimensional vector space V and dim W = dimV, then W = V. 3) How to prove that the subspace of R^3 are{0}, R^3 itself, and any line or plane passing through the origin. How to approach these three Questions? Thanks

Would like some help with an equation. f(x)=e^2x g(x)=lnx The equation is: f(g(x))=g(f(x^3)). f(g(x))=e^2lnx and g(f(x^3))=ln(e^(2x^3) e^2lnx=ln(e^(2x^3) I´m stuck now. I don´t know how to continue to simplify further than this. Would like a hint or a tip so I can proceed.

Potassium permanganate (KMnO4) is used to determine the actual concentration of standard solutions containing the nitrite ion. The permanganate ion reacts with nitrous acid according to the following reaction. 2 MnO4- + 5 HNO2 + 5 H+ = 2Mn2+ + 5 NO3- + 3 H2O Pipet in order 50.00 mL of standard KMnO4 solution, 5 mL concentrated H2SO4 and 50.00 mL of NaNO2 solution into a glass-stoppered flask. Making sure that the pipet tip is submerged below the surface of the permanganate-acid solution while delivering the nitrite stock solution. Shake gently and warm on a hot plate to about 70oC. Discharge the permanganate color by successive additions of 25.00-mL aliquots of th…

Please help if anyone can a knife hits the ground at a speed of 40 m s-1. It penetrates the ground to a depth of 30 cm. Acceleration due to gravity is 9.81 m s-2. How can i find the deceleration of the knife. I know the following equation might help; speed = distance / time acceleration = change in speed / time I also know that the knifes speed initial speed when it hits the ground is 40 m s-1 and its final speed is 0 ms-1. So its change in speed is 40ms-1. But I dont know how to find the time, and i dont know if i am using the correct equations for this question. Ive been reading my physics books for hours now but cannot fig…

Agent 007 has just stolen some blueprints from Dr. No, whose henchmen are now in vigorous pursuit of Mr. Bond. He sees his best chance of escape: a wooden boxcar. In a moment, James is in the car and moving along a straight railroad track at speed v1 . A sniper fires a bullet (initial speed v2 ) at it from a high- powered rifle. The bullet passes through both length- wise walls of the car, its entrance and exit holes being exactly opposite each other as viewed from within the car. Assume that the bullet is not deflected upon en- tering the car, but that its speed decreases by 20%. Show that the direction, relative to the track, from which the bullet is fired i…

Hi all I'm stuck with a question concerning the conversion of p-nitrophenol to hydroquinone and nitrite. It's an enzyme catalysed reaction that uses an O2 equivalent and 2 NADH equivalents. I need to determine which co-factor is involved as well as the exact mechanism of action. I got as far as determining FAD/FMN as the co-factor (I hope), but beyond that I'm stumped. A gentle hint would make me a very happy boy. Thanks in advance S

An object is moving counterclockwise in a circle of radius r at constant speed v. The center of the circle is at the origin of rectangular coordinates (x, y), and at t = 0 the particle is at (r, 0). If the angular frequency is given by ω = v/r, show that x'' + ω^2 r = 0 and y'' + ω^2 r = 0 Attempted Solution:If particle is at (r,0) then r = x we know: ar = v2/r = ω^2 since velocity is constant ar = so x'' has to equal 0 thus x'' + ω2 r = 0 the same argument can be applied to y'' + ω^2 r = 0 proving the second statement Is this correct? Is there a better way of showing the two statements are true?

Dear friends I have a homework about preparation the teaching material content of plant tissue analysis, if you have an material as an example, i hope you don't mine for sending to me..

Okay, I took an ODE class and we barely touched PDEs. I am trying to figure it out now, but I am having troubles understanding how to solve this seemingly very simple equation. I could use a bit of a guidance, even to sites or texts that explain the concept. [math]a\frac{d^{2}y}{dx^2}-b\frac{d^{2}y}{dt^2}=0[/math] Where a and b are constants. If this was on the first order, I'd be doing separation of variables, and integrating both sides (I think) but this is second order.. I'm a bit lost. Thanks! ~mooey

A soccer player kicks a ball to his teammate, who is a distance d away. Even though the kick launches the ball with speed v0 and angle θ0 , the teammate knows it will not travel far enough to reach him before it lands. So as soon as the ball is kicked, the teammate begins running toward the ball. If he is to meet the ball just before it hits the ground, show that his average speed must be vp = (gd / 2v0 sin θ0) - v0 cos θ0 where g is the acceleration due to gravity. Neglect air resistance. I understand that t0 = tp and that the distance that the ball travels depends on the angle at which it is kicked. I solved for y to describe the trajectory of the ball…

how do i graph one ? with f (1) f(2) f(3) then find the slope ?

lol, i know that this is kind of silly, but our teacher has assigned us a bridge building project (its silly because we're in grade 11 ) we're going to be given 50 bendy straws and some masking tape. our goal is to create a bridge that spans (either 1 or 2 feet, i'm not completely sure but i think its gonna be 2 feet, the sheet says 2 tiles, the tiles are i think 1 foot each). its suppose to support the weight of our physics text book. the more it can handle the better it is. back in grade 7 when i did this, we had to make a bridge out of 1 Que-card to (i chose to wrap the paper into a stick diagonally as tight as possible and set the class record of a few kg or so (lol i…

Hi, I'm making a glossary as part of a group project, and I need a definition or description of this term. My group-mate swears blind that it is in fact a word, and I've seen it come up in web searches, but I can't for the life of me find anything helpful. Does anybody have any suggestions?