Simplify Definition and 371 Threads

Hi there, Please help :) out of school for years started studying again and finding it so hard to pick up the basics again! But am trying very hard! Homework Statement Simplify the expression and eliminate any negative exponents Homework Equations (2x^3)^-2 (3x^4)^2...

In my textbook it simplifies (208 − 18y)/7 to (29-2y) + (5-4y)/7 How does this happen?

Hi, Please see the attached document. I don’t know how simplify the equation further. I am trying to find the relationship between i and r. D and T are constants. Thanks.

[ p→>q] or [ (>q→r) and (>r→>p) ] thank you

Could anyone please tell me how are those two expressions equivalent?! what are the identities used?

I'm only in 9th grade math, so please don't give me complicated calculus answers. And I prefer if you give steps on how to solve each step. Thanks in advance! 1. 5^-2/p 2. 3x^-2/y 3. (x^-5) (y^-7) 4. 8/2c^-3 5. (6a^-1) (c^-3)/d^0 6. (9^0) (y^7) (t^-11)

Homework Statement \stackrel{lim}{x\rightarrow}∞ \sqrt{x^2+x}-x I'm taking the limit of a rational function as x approaches ∞. However, within the problem, there is an algebraic arrangement I'm having trouble with. How would I get from the first fraction to the second fraction? Applying...

I've got this complicated expression that I'm trying to simplify and this is one piece which I feel might have a really simple form: ((i+1)^{n+1} - (i-1)^{n+1)) for n ≥ 0. Thanks.

Homework Statement Im trying to simply (lnx)^n say (ln2)^3 Homework Equations ? The Attempt at a Solution Im lost on this one I can't find any information. All info I'm finding is dilute because of similar search terms. Please, and thanks!

Homework Statement Find the derivative of (x^2-x^-1+1)(x^3+2x-6)^7 Homework Equations This is a product so I used the product and chain rule where appropriate The Attempt at a Solution (x^3+2x-6)[7(x^2-x^-1+1)(3x^2+2)]+[(x^3+2x-6)(2x+1/x^2)] This is as far as I could get in my...

I am attempting to complete a problem for a problem set and am having difficulty simplifying an expression; any help would be greatly appreciated! The question is a physics question which attempts to derive an equation for the temperature within a planet as a function of depth assuming...

Simplify cos(a)cos(2a)cos(3a)...cos(999a) if a=(2pi)/1999 I don't see any way to approach this problem but my attempt is to group cos(a).cos(999a), then cos(2a).cos(998a), and so on. Then I get 500 pairs where the first two pairs are 1/2[cos(100a)+cos(998a)] and 1/2[cos(100a)+cos(996a)], and...

I'm doing a much larger problem and I am stuck going from: T(n) = 14 + T (n − 2) + 10(n + (n − 1)) to T(n) = (n − 1)7 + T(1) + 10(Σi=2 to n of i) and I would very much appreciate it if someone could show me the detailed steps. (I've been told something about expanding the recursive...

I have been working on representing the powers of numbers as a summation. This is as far as I have gotten. Power: 2 m^2 = \sum_{n=1}^m \left(2n -1\right) Power: 3 m^3 = \sum_{n=1}^m \left(3n^2 -3n +1\right) Power: 4 m^4 = \sum_{n=2}^m \left[6*(4n-6) * \left(\sum_{a=1}^{m-n+1}...

How would I go about simplifying this: 3(x-1) / (x+1)(x-2) + 2(x-1) / (x-2)(x-4) Thanks!

simplify and answer should be in positive exponents. (((4x^6)^3(4y^-8))/((2x)^4(12y^3)^2))^1/2 please help and thanks

Homework Statement Simplify \frac{2}{49^{1/3}+7^{1/3}+1}Homework Equations The Attempt at a Solution I can simplify \frac{2}{49^{1/3}+7^{1/3}} but I don't have idea how to do this one.. EDIT: I have found it. No need to reply this. Thanks :)

Homework Statement Simplify \sqrt {10 + \sqrt{24} + \sqrt{40}+\sqrt{60}} Homework Equations \sqrt{a+b+2\sqrt{ab}} = \sqrt{a}+\sqrt{b} The Attempt at a Solution \sqrt {10 + \sqrt{24} + \sqrt{40}+\sqrt{60}} = \sqrt {10 + 2 \sqrt{6} + 2 \sqrt{10}+ 2 \sqrt{15}} Stuck...

Homework Statement http://img513.imageshack.us/img513/88/71893688.png Homework Equations Not applicable. The Attempt at a Solution http://img441.imageshack.us/img441/846/14479081.png I'm already stuck! I calculated both expressions and they don't equal each other. :(

Homework Statement Working my way through Zienkiewicz's "FEM its basis & fundamentals" I am stuck on the following example: - \int_{y_1}^{y_2} t N1 \left\{ \begin{array}{c} \sigma_x \\ \tau_y \end{array} \right\} dy = -\left\{ \begin{array}{c} k_x t (2 y_1 + y_2) (y_2 - y_1) / 6 \\ 0...

Homework Statement (xy’+z)’.((xz)’+y') The Attempt at a Solution (xy’+z)’.((xz)’+y’) =(x'+yz’).(x’+z’+y’) =x’x’ + x’z’ + x’y’ + yz’x’ + yz’z’ + yz’y’ =x’ + x’z’ + x’y’ + yz’x’ + yz’ + z’ Can it be further siplify?

Homework Statement (Square Root Exponents) 4(7/3) - 12(4/3) For this problem The answer is 4x^2 - 12x but i tried i could not seem to obtain the same answer, could you please explain on how to do this step by step so I know do the rest of other problems Homework Equations The...

Homework Statement I'm in differential equations right now and we are about to start Laplace Transforms. Our homework is over complex numbers: Simplify the following equation: 1+cos(\theta)+cos(2\theta)+cos(3\theta)+...+cos(n\theta) Homework Equations The Attempt at a...

Homework Statement I need to simplify the boolean expression by algebraic manipulation as much as possible. (a+b+c)*(a'+c)*(a'+b') Homework Equations + stands for OR * stands for AND (or no operator between variables) ' Stands for NOT The Attempt at a Solution I tried but I do not...

Is it possible to simplify this further? F1=(A’∙B∙C)+(A∙B’∙C’)+(A∙B∙C’)+(A∙B∙C)

Homework Statement Simplify the following expression by rewriting it as a single simple fraction in simplest form: Homework Equations not much just factoring and solving for P The Attempt at a Solution I tried to factor the fractions by multiplying the denominators with the numerators and...

Is there a way to simplify a^log[b]n, a = 1 / b I don't know if this is possible, but I thought I would ask for another opinion if I'm overlooking something. Anyway, is there a way to simplify alogbn, a = 1 / b

Homework Statement I could not type it here, so i made a screenshot and posted it below. Homework Equations it's about complex numbers undergraduate level. I'm currently doing Euler's formula and De Moivre's theorem, although I'm not sure that the solution lies there. The Attempt at...

Homework Statement 2/1+y-2 /2x^3+x its all over top of 2x^3+x Homework Equations The Attempt at a Solution should i multiply the top by 1+y, like the 2 and the -2.

Homework Statement simplify each expression: 2(4-h)^2-32/h Homework Equations The Attempt at a Solution I forget if I should multiply the 2 into the 4-h.

Hi, I'm trying to simplify the following equation, but I'm not sure it can be! Can anybody help me please? \frac{sin(\alpha + \delta \alpha)} {sin(\beta + \delta \beta - \alpha - \delta \alpha)} - \frac{sin(\alpha)} {sin(\beta - \alpha)}

Homework Statement k(x) = x^2(2x^3+x)^1/3 Homework Equations I used the product rule and the chain rule to get to the point that i did. The Attempt at a Solution dy/dx(x^2)(2x^3+x)^1/3 + dy/dx(2x^3+x)^1/3(x^2) = (2x)(2x^3+x)^1/3 + 1/3(2x^3+x)^-2/3(6x^2+1)(x^2) I can't...

Homework Statement y = (3x+2)(x+5)^4 Homework Equations Here, i tried using the chain rule on (x+5)^4 first, and then i tried using the product rule for the entire expression with no success. Can someone help me please? The Attempt at a Solution dy/dx (3x+2)(x+5)^4 +...

Sounds waves in a pipe of varying cross-section are described by the equation V2 d/dx (1/A dAu/dx) = d2u/dt2 Where A = 0.2+0.3x So first I substituted A into the equation: V2 d/dx (1/(0.2+0.3x) d(0.2+0.3x)u/dx) = d2u/dt2 V2 d/dx (0.3u/(0.2+0.3x) du/dx) = d2u/dt2This is as far as I can get...

2(exponential^theta)^2 - 10 = 6(exponential ^theta)

Homework Statement h(x) = (x2 + 3) / (2x - 1) And if f = the numerator And if g = the denominator, h'(x) = (f/g)' = [ (x2)' + 3' ) * (2x - 1) ] - [ ((2x)' - 1')) * (x2 + 3) ] ALL DIVIDED BY (2x - 1)2 = [2x (2x - 1) - 2 (x2 + 3) ] ALL DIVIDED BY (2x - 1)2 Would I then use the...

Homework Statement Simplify: \frac{3a(a^2-4ab+4b^2)}{6a^2(a^2+3ab-10b^2)} Homework Equations The Attempt at a Solution Tried factoring stuff out, etc. This "teach yourself albebra" book is getting more and more annoying. Even mathway.com can't solve them (which is what I used to see steps).

Homework Statement I need to solve this: cosx - cos2x + cos3x = 0 Homework Equations The Attempt at a Solution The solution shows something like: (cosx + cos3x) - cos2x Then using the sum to product on the first group and double angle on the cos2x. I would know to...

Homework Statement Simplify log21/8 Homework Equations - The Attempt at a Solution the answer i got was -3 but it is not right.

Hi everyone, I'm wondering why Mathematica (8.0) can't bring this to the obvious form -1, and leaves the expression as is: Simplify[(b^8 + c^4) /a^8, a^8 + b^8 + c^4 == 0] Is there any nice and elegant way how to achieve that? (I know, that I could take e.g. /.c->(-a^8-b^8)^(1/4), but...

It is clear that 10^2 can be simplified to 10*10=100. But what about say, 10^0.5? I have been thinking about this for days and can't figure out how it simplifies. 10^1 is 10, 10^0 is 1, so 10^0.5 should be under 1, but it is 3.16, so I don't get it. Same with 10^-1 is 0.1. How exactly are...

Homework Statement Simplify [PLAIN]http://www4c.wolframalpha.com/Calculate/MSP/MSP249819e8ec729ig8433b00002e0fh793haeag630?MSPStoreType=image/gif&s=15&w=137&h=59 Please kindly show the working steps as well. ^^ Thanks. Homework Equations The Attempt at a Solution I tried but i...

I'm unsure if this regular expression can be simplified, if it can, could you please explain how? Thank you! (a U b)*(a U e)b* U (a U b)*(b U e)a* The e is the empty string, and the U stands for union.

Homework Statement simplify (2x-3)² - 2x(2x-5).Homework Equations The Attempt at a Solution (2x-3)² - 2x(2x-5) to 2x² + 9 - 4x² + 10x to 2x² + 9 + 10x

Hello there, I am not sure which subject to put this under. I need to simplify the attached equation (if possible). Any help would be greatly appreciated. Regards, Matt

Hi, Matlab noob here. I need your help to simplify this Matlab source code. Here the code that i currently use for k=1:1:gg k1=gains(k,1); k2=gains(k,2); k3=gains(k,3); . . kn=pidgains(k,n) [T,X,Y]=sim('Evaporator_PID',[Tstart Tfinal],opt); end...

hey there.. can someone help me with the problem given.. Problem.. simplify b ⊕ c' Homework Equations The Attempt at a Solution i don't know how to attempt this question.. can someone can give me an idea to start.. thanks in advance

How can I force : A Log[b] + A Log[c] to simplify to A Log[b c]? I tried, A,b,c all elements of reals, but it doesn't do it. (Assume everything is Real) I know I can make some patterned rules but I'd rather have it be by default. (i.e. : a_ Log[b_] + a_ Log[c_] :> a Log[b c])

Homework Statement -4 + 4h - (-1+3h-3h^2+h^3) Homework Equations The Attempt at a Solution -4 + 4h + (1-3h+3h^2-h^3) = -3 + h +3h^2 -h^3 I am doing independent study on a computer program and it accepted my unsimplified answer as correct, but not my simplified one. What is...

I need the following expression simplified. 36/[64.4*(0.5+(2+ x)*((1-(1/4)*x^2 )^0.5)) ]-x*((1-(1/4)*x^2 )^0.5)=0