Simplifying Definition and 487 Threads

Homework Statement Expand and Simplify 6(x-1)(x+2)-(1-x)(2+x) Homework Equations The answer in the book is 7x^2+7x-14 The Attempt at a Solution I've tried several ways, but all of them give the wrong answer. I'm not sure what to do with the negative in the middle. I know it...

I'm not seeing how you get 1/4k = (1/2)k(1/2)k(1/2) I understand why you can factor out the (1/2). It's in each term of the sum. http://i111.photobucket.com/albums/n149/camarolt4z28/Untitled-2.png?t=1297227186 I haven't really looked at this crap in four years.

Homework Statement Find all solutions using Gauss-Jordan elimination: [ 0 0 0 1 2 -1 l 2 1 2 0 0 1 -1 l 0 1 2 2 0 -1 1 l 2] Homework Equations Switching rows, able to scale any row able to add non zero multiple to row The Attempt at a Solution What I did was...

Homework Statement I'm trying to understand an example in the book. They're simplifying the following expression: S=z \oplus (x \oplus y) =z'(xy'+x'y)+z(xy'+x'y)' I don't get how they go to this from the above =z'(xy'+x'y)+z(xy+x'y') =xy'z'+x'yz'+xyz+x'y'z Homework Equations DeMorgan law...

Homework Statement \sum\limits_{j=0}^\infty \binom{j}{r} p^r (1-p)^{j-r} (1-q) q^j where p and q are between 0 and 1, and r is a positive integer Homework Equations The Attempt at a Solution since \binom{j}{r}=\binom{j}{j-r} we can rewrite the summation as (1-q)\sum\limits_{j=0}^\infty...

Homework Statement [PLAIN]http://img802.imageshack.us/img802/9172/qns33.png Simplifying the circuit? Also find the power dissipated in the circuit? Homework Equations P=I^2R V=IR The Attempt at a Solution I tired to simply the diagonal by making it parallel with...

Homework Statement I am solving some convolutions, and i have come to these solutions. a)\sum2k, summing from -\infty to -1 b)\sum2k, summing from -\infty to n , where n <=-1Homework Equations the geometric series summation formula, from 0 to N \sumak = 1-aN+1 / 1-a , summing from 0 to N The...

Homework Statement trying to simplify (using dirac notation) QM: <E| (QH - HQ) |E> using H|E> = E|E> Homework Equations The Attempt at a Solution the textbook says that it simplifies to (E-E) <E|Q|E> = 0 but i can't see how :S

Homework Statement Find the derivative: F(x)= cos (x)* sin(5x^2 +7) Homework Equations The Attempt at a Solution I used the power rule and the chain rule and wound up with this: but i don't know how to simplify it... = -sin(x)*sin(5x^2+7)+(10x)*(cos x)*(cos (5x^2+7)

Homework Statement √(3+2√(2)) can be simplified into a fairly simple sum of two number: one is an integer and one is an irrational number . Find them and show you are correct by squaring both sides of the "equation" Homework Equations The Attempt at a Solution

The Attempt at a Solution I'm attempting to solve a question with a few unknowns, and I managed to get it to the following form: tanx(1-cosx)=0.25 I just can't seem to simplify it further and thus solve.. Any ideas?

Homework Statement In D3, simplify f = u R u R Homework Equations The Attempt at a Solution u(Ru)R=(uR)uR u(uR^2)R=(uR)u2 uR=R I am doing this for independent study, and the website I am using says the solution is 1=R I just got started on dihedral...

Hey, I need some help with simplifying these fractions. (3x-6)/(x^2-3x+2) - (x^2-1)/(x^2-4x+4) Im not quite sure what to do with the denominators. Am I supposed to change them to special forms? What is the process of making these a single fraction? Thanks in advance.

i have two boolean expressions that I'm simply stuck on. (any variable with the ' mark means NOT). i used http://hopper.unco.edu/KARNAUGH1.1/Function.html" to check my answers for both..apparently they are both supposed to equal 1. i have tried solving the expressions multiple times, and each...

Homework Statement we know dV/dt = a from the definition of acceleration multiplying by sides by V, velocity yields V dV/dt = aV Left side can be reduced to d/dt(V^2/2) so to be more clear, just looking at the left side V dV/dt = d/dt( V^2/2) I want to know what calculus topic...

Homework Statement Consider the following code fragment. for i=1 to n/2 do for j=i to n-i do for k=1 to j do output ‘‘foobar’’ Assume n is even. Let T(n) denote the number of times ‘foobar’ is printed as a function of n. (a) Express T(n) as three nested summations. (b) Simplify the...

Homework Statement Hey guys, having a trig brain fart here, can you point me in the direction of simplifying: \frac{6cos\vartheta}{2sin\vartheta-3cos\vartheta} or is it as simplified as it gets? \ Homework Equations Thought about using double angle formula The Attempt at a...

Homework Statement Attached is the problem, I don't like the math editor used on this site, so its a pdf. The only real problem I have is how to is how do you square a problem like square root of x over 2x?

Homework Statement How do i simplify the ln(3/sqrt(5)) + 2 into the ln(3)- (1/2)ln(5) + 2 Homework Equations The Attempt at a Solution

Homework Statement Express in simplest form. 1/2 – 4/d divide by 1/d + 3/2d Homework Equations LCF The Attempt at a Solution I know the LCD is 2d. But would you multiply this to the equation

Homework Statement Ok so I'm trying to simplify this (x-5)/(x+1) which is apparently equal to 1 - 6/(x+1) but I don't see how there equal like I don't know what was done to this (x-5)/(x+1) to get that 1 - 6/(x+1). I feel kind of dumb as fel as if I should know this but I can't make...

Homework Statement http://img96.imageshack.us/img96/9288/lagrangiansimplifcation.jpg [PLAIN]"[URL If you require more info in the derivation, it's on page 1: http://www.ph.qmul.ac.uk/~phy304/Homework/HW3sol.pdf Homework Equations L = T - V The Attempt at a Solution I...

Homework Statement F= A'C+A'B+AB'C+BC Express the function as sum of minterms, and find the ninimal sum of products. Homework Equations The Attempt at a Solution How do I do this? I really don't know. I know it is easy though. Any help is appreciated!

Ok, I have an Expression which is attached and it needs simplifying. What I have done is got 12logx But I don't think this is correct. Another possible place I got to is logx4/logx1/3 Which one is it?

Simplify the attached expression using any relevant logarithmic rules I haven't really done much with logarithms, so i didnt know where to start?

Homework Statement Describe the shape of each level curve for the following function: z= (5x^2+y^2)^.5-2x Homework Equations I would like to prove that the curves are elliptical by setting z as a constnat and algebraically putting the equation in standard for for an ellipse...

I'm finding the percent error in a S.R. problem and getting a really small number. How can I find the exact percentage? This is the result that needs to be simplified: 6.7x10^(-16) / (1 + 6.7x10^(-16)) If I do an order of magnitude approximation, then the bottom becomes 1, but that will...

-This is what I need to simplify. π((14-2x)/π)2 -This is what I got. (196+4x)/(π2) -This is the solution. (196-56x+4x2)/π Really unsure of where that -56x is coming from in the solution.

Homework Statement sin(α+45) = ? The Attempt at a Solution Dunno. Really dont. Need it in simplification.

Homework Statement Sketch the graph of x ^ (4/9) * e ^ (-x) Homework Equations None. The Attempt at a Solution My y' = -x ^ (4/9) * e ^ (-x) ( 1 - 4/9x ^ 1/9). I keep on getting a reaaally long derivative for y'' and thus cannot place it on my sign table. Could someone please...

EDIT: My apologies if I started this thread in the wrong forum! Homework Statement Z = P.Q.R + P.R Where . = AND + = OR ~ = NOTHomework Equations (Commutative Law) A+B = B+A, A.B = B.A (Associate Law) (A+B)+C = A+(B+C), (A.B).C = A.(B.C) (Distributive Law) A(B+C) = AB+AC...

Homework Statement I'll give an example. Ex: x'=[-1/2 1; -1 -1/2]x. Homework Equations Assume a solution of the form x=$ert for these type of problems. Euler's formula: ebi = cosb + isinb The Attempt at a Solution |A-rI|=0 ---> r= -1/2 +/- i ---> x= e-t/2 ( C1(cost...

1. ex*eh+e-x*e-h -ex -e-x/ 2h 2. This should simplify to (e^x-e^-x)/2. This is lim (h--->0) so in the end the h should become 0 (I think!) 3. I have absolutely no idea what to do!

Homework Statement Simplify (\log_a{b})(\log_b{c})(\log_c{d}) in terms of \log_x{y} Homework Equations The Attempt at a Solution well , the furthest i can reach is \frac{\log_xd}{\log_xa} , how do i express in terms of \log_x{y}

Homework Statement Simplify Sin[3θ] (no double angles) Homework Equations Sin[3θ]=Sin[θ+2θ] Sin[α + β] = Sin[α] Cos[β] + Cos[α] Sin[β] Sin[3θ] = 3sinθ - 4sin^3 θ Cos2θ = 1-2Sin^2θ The Attempt at a Solution Sin[3θ] = sin[θ+2θ] Sin[θ+2θ] = Sinθ Cos2θ + Cosθ Sin2θ Sinθ Cos2θ + Cosθ Sin2θ =...

Homework Statement [SIZE="3"](a) lim_{n\rightarrow\infty} (\sqrt{(n + a)(n + b)} - n) where a, b > 0 [SIZE="3"](b)lim _{n\rightarrow\infty} ([SIZE="3"]n!)1/n2 Homework Equations The Attempt at a Solution I tried to use Limit theorems but nothing happened.

Homework Statement (2 CIS (pi/6))*(3 CIS (pi/12)) Homework Equations Also what is CIS? I believe it's Cos+i*sin but how do you use it? The Attempt at a Solution i simplified it to 6 CIS (pi/12) How do i turn it into cartesian?

Hi all...not sure if this should be here, perhaps in the precalc section =S but here goes anyways... 1. So the question asks to find the derivative of y = sqrt(arctan x), then to simplify wherever possible...my issue is not with the differentiation, but rather with the simplifying...oh and we...

Could someone please expain where I went wrong with this? expand and simplify the following: 1/8(6x - 12y) + 1/2(3x + 2y) I expanded the brackets like this: 0.75x - 1.5y + 1.5x + y and simplified like this: 2.25x - 0.5y But the right answer is: 2.25x - 2.5y

I got the following 2 questions in a recent maths test. Can anyone please explain the correct way to simplify these expressions? 4u to the power of 3 v to the power of 6 / 8u to the power of 2 v to the power of 3 3x to the power of 6 y to the power of 5 z to the power of 3 / 9x to the...

Homework Statement I have a quiz tomorrow and i know a problem like this is going to be on it and i need to figure out the process Homework Equations the expression is: (2x^2-3x+1)(4)(3x+2)^3(3)+(3x+2)^4(4x-3) The Attempt at a Solution i know the final answer(3x+2)^3(36x^2-37x+6)...

Homework Statement See attachment! 2. The attempt at a solution I multiplied by the LCD of (x+h-1)(x-1) and got 6h/h(x+h-1)(x-1) . I then got 6h/h^2+2hx-2h . However, my answer seems to be wrong. What is my error?

So I'm in the process of solving the following differential equation: \frac{dy}{dx}=2y^2 +xy^2 with initial condition y(0)=1 I worked it out until I got to the following equation: y^2 +y =x^2 -4 So now my problem is that I can't isolate y as a function of x in order to move on...

Homework Statement X = A\overline{D}+\overline{B}AC+\overline{B}\overline{D}\overline{C}+BA\overline{C} Homework Equations I need to try to simplify or reduce that boolean equation to something as small as possible. The Attempt at a Solution It used to be worse and I used a karnaugh map to...

Homework Statement (a -b) \cdot (b - c) \times (c - a) Homework Equations The Attempt at a Solution Honestly I have no idea where to being. I believe this expression is a scalar triple product but I do not know how to use the properties to simplify this expression. Sorry, kind...

Homework Statement [(p->r) ^ (q->r)] -> (p ^ q) -> r Homework Equations anything but a truth table! laws such as (p->q)= ~(p^~q) or (p->q)=(~q->~p) might help

Homework Statement Let f(x) = sqrt(4-x2) + 2cos-1(x/2) Then f '(x) can be written in simplified form -[(x+c)/(mx+n)]p NOTE: I'm not sure if that negative is supposed to be there since my book is smudged. What are the values of c, m, n, and p? Homework Equations Derivative of...

I've come across this before, but for the life of me can't seem to get anywhere with it. I can plug this into technology and get an answer (and then move on...), but I want to know how to do it without. An example problem: 4\sqrt{\sin(\pi/4)} I get as far as 2\sqrt{2\sqrt{2}} =...

Homework Statement simplify 4[12-3(8-5)]-1 and simplify 5x-3{2x-2[x-2(1-x)]} Homework Equations The Attempt at a Solution

These two equations are the same: M1Vf1+M2Vf2=M1Vo1 + 0 After substituting Vf2= M1(Vo1 –Vf1)/M2 in one of the equations above, it is now Vf1=[(M1-M2)/(M1+M2)]V01 The assignment is to show the steps how the first equation becomes the second after substituting for Vf2. I have tried simplifying...