Simplify Definition and 371 Threads

Homework Statement Find the solution for : X = \sqrt[3]{3+\sqrt{9+\frac{125}{27}}} \sqrt[]{-3+\sqrt{9+\frac{125}{27}}} It doesn't appear above but is to subtract the first member by the second! Any help will bevery welcome! The answer is X= 1 Homework Equations The Attempt at a Solution

Hello everybody. It's my first post and I'm not a mathematician so please bear with me. I'll try to make it vaguely interesting. I'm fascinated by the problem of deciding the Riemann Hypothesis. The trouble is, I'm not clever enough to understand it. The zeta function may as well be martian...

Homework Statement find the derivative of (x2 - 3)4/(2x3+1)3 and simplify Homework Equations The Attempt at a Solution as far as i could get was 8x(x2-3)3-18x2(2x3+1)2/(2x3+1)6 which is not simplified. How can you simplify something like this? Is there a systematic way...

Homework Statement Started at (x * x/sqrt(1+x^2))/sqrt(1+x^2)-1 Homework Equations The Attempt at a Solution now I am at (x^2 (1 + x)^(1/2) - x^2)/(1 + x)^(1/2) I am stuck on how to simplify further

Is there any way to simplify or clarify e^e^e^x ? Some sort of equivalence to a hypergeometric? How about e^e^x? Thanks

Help me "simplify" Homework Statement Ok my teacher has robbed me of points, seriously I'm tired of teachers stealing points from me because when your asked to simplify an expression your asking someone to do something that can't clearly be defined... you'll never ever come up with a clean...

I am taking an online Introductory Calculus course. I have a decent understanding thus far, however, the problem I'm working on gets somewhat messy and I am having a difficult time simplyifing the answer. f"(x) = (x^2 + 9)^2 (-2x) - [(9 - x^2)(2)(x^2 + 9)(2x)]/(x^2 + 9)^4 the solutions manual...

I know I probably learned this 10 years ago, but I really have no idea how to simplify something like this: (A*B + C*D + E*F)2 Is there any kind of shortcut (even a website that does it automatically!) that can help me solve expressions like this?

Homework Statement I got down to here and didn't know where to go from here http://www.wolframalpha.com/input/?i=%28x-3%29%28x-3%2F2%28-1%2Bi%5E%282%2F3%29%281-i%5E%28-4%2F3%29%29%29%29%28x%2B3%2F2%281%2Bi%5E%282%2F3%29%281-i%5E%28-4%2F3%29%29%29%29 see the input value on that link if you...

Ok, so I have this Expression, (6x+2 x 42x-4 x 35-x x 2x-6)/(124x+3 x 92x-3) But it needs to be simplifyed, and expressed with positive indices. Now as far as my knowledge takes me, this can't be simplifyed, but then I am probably wrong. If anybody could help to solve, that would be great.

Simplify and express with positive indices, a little help? I am no good at these, can anyone show me how to work these out? (18x3 X 2x-4)/(4x-5 X 6x) 83sqrt(p12 q-8) X 34sqrt(p-10 q9) and (6x+2 X 42x-4 X 35-x X 2x-6)/(124x+3 X 92x-3) ps. The Capital X's are multiplication signs

not actually homework, but things I need to know: 1: simplify the expression e^{a ln b} (write it in a way that dosen't involve logarithims) i want to prove the identities: lnab = lna + lnb lna^b = blna \frac{d}{dx}lnx = \frac{1}{x} i also want to derive the useful assumption...

I have been asked to simplify this one: 12x3 + 8x2 / 6x2 + 4x By factoring it out I have simplified it to 4x2 / 2x Is there anything I can do to simplify it further? I know the rules of dividing powers and hence if it was 4x2 / 4x I know I could simplify it to to 4x (subtract the...

How can I simplify this expression? As it is already factorised (factored) I do not see what else I can do to simplify it. x(9x+2) / x3(x-2) The only thing that I can think of is if I unfactorise everything to give the following:(although it doesn't seem to be very simplified from the...

I know this expression should return a Gaussian distribution but I can't get Mathematica to simplify the integral. What am I missing? \text{Simplify}\left[\frac{\text{Product}\left[\text{PDF}\left[\text{NormalDistribution}[y,\sigma...

Homework Statement [PLAIN]http://img340.imageshack.us/img340/7690/123rk.gif Homework Equations The answer should be A'C' + A'D'The Attempt at a Solution Shown in above in the question. I want to know how can i get the correct answer. As you see above, in my last step, I wonder whether B'+BD...

Homework Statement simplify the following equation ((20*(4*x-1)^4)/(3*x+5)^7)-((4*x-1)^5/(21*(3*x+5)^8)) The Attempt at a Solution i took (4*x-1)^4)/(3*x+5)^7) as a common factor and ended up with (4*x-1)^4)/(3*x+5)^7)*(20-((4*x-1)^5/(21*(3*x+5)^8))) can someone show me how to...

Homework Statement Calculate the equivalent impedance about terminals A and B. [PLAIN]http://img218.imageshack.us/img218/9335/circuits827.png Z1 = -j2 ohms Z2 = 1 ohm Z3 = j2 ohms Z4 = 2 ohms Homework Equations Adding parallel: Zeq = z1*z2/z1+z2 Adding in series Zeq = z1+z2...

Hi all, I am reading about trigonometry and pythagoras.. I found this (30-x2)1/2 Would it be the same as (sqrt30 - x) ?? Is there any way to simplify it? thanks in advance

Homework Statement cos(2 * arcsin(2x)) Use a triangle to simplify each expression. Where application, state the range of x's for which the simplification holds. Homework Equations cos(2t) = cos^2(t) - sin^2(t) = 1-2sin^2(t) = 2cos^2(t) - 1 The Attempt at a Solution My attempt was the...

Cannot figure out how to distribute this, please help :D- sorry about title should be a(y-\frac{b}{3a})^3

ok, how do you simplify: ((sqrt3)/3)+1 /(1-(sqrt3)/3)

Homework Statement Could someone show me the algebraic steps involved in the following equivalency? Homework Equations The Attempt at a Solution EDIT: see attempt below. I eventually answered my own question. Thanks, Mark44.

Homework Statement simplify: \sin\theta\sec\theta+\cos\theta\csc\theta Homework Equations Reciprocal identities, Quotient identities, Pythagorean identities The Attempt at a Solution \sin\theta\sec\theta+\frac{1}{\sec\theta}\frac{1}{\sin\theta}...

I'm studying expanding and simplifying brackets and I'm not sure how to tackle this type of problem: -3e + (e - 1) It's the + sign before the bracket that confuses me. My (wrong) answer was: -3e squared + 3e I guess that would have been right if that + wasn't there. The answer is: -3e...

I had to expand and simplify this formula and I got it wrong. 2a + 2 (3a + 2) I first multiplied the 2a by everything inside the bracket, giving: 6a squared + 4a Then multiplied the 2 by everything inside the bracket, giving: 6a + 4 so in total I had: 6a squared + 4a + 6a + 4 which I...

Help urgently needed in Mathematica Simplify Dear All, I have a very longe expression (see file attached ) of variables x, a, Lambda... etc, when I apply "Simplify" I am left only with very short expression ONLY with variable Lambda. But if in the initial expression I declare...

Homework Statement Simplify to a certain extent, as much as possible (factorized form would be best)...

I have been trying to do this problem for a long time, and still can not do it. I know the answer is sin2x, but I have no idea how to do it: write expression as sine, cosine, or tangent of an angle sin3xcosx - cos3xsinx THANKS!

Ok guys, here's my problem. I left on vacation with my parents before I learned how to do these correctly. I have been trying and I sort of have the gist of them down. For instance, tan A*sec A simplified is sin A. A=theta. But as I move on they stop making sense, and this is where my problem...

Homework Statement Simplify 1/(cos^4x+sin^4x) Homework Equations One can't apply cosine of a difference when the cosine is raised to a power, right? The Attempt at a Solution I tried using several trig identities, but it doesn't get any simpler. Thank you for any help in advance!

I encounter a problem when simplifying the following equation, can anyone give a hint:) Let A denote an orthonormal matrix, X be a symmetric matrix. diag(A) is an operator that creates a diagonal matrix of A. Then, my problem is how to simplify the equation: A^{-1} \cdot diag(A \cdot...

Homework Statement lim x->-1 x^1/3 + 1 / x + 1 = x^1/3 + 1 / x + 1 ((x^2/3 - x^1/3 + 1) / (x^2/3 - x^1/3 + 1)) = x + 1 / (x + 1)(x^2/3 - x^1/3 + 1) cancel out and done I don't understand how to know what reciprocal to multiply in cases like these to make it work. Please help.

Just a quick question. I'm having problems with factorials. For example, how do you simplify 2n+2!? Is it 2n!*2n+1!? Thanks everybody!

Homework Statement e^(1/n+1)/e^(1/n) Homework Equations this is for a series test "ratio test" I need to simplify it I went blank in this part thanks The Attempt at a Solution

Homework Statement Simplify \frac{-2\pm\sqrt{-56}}{30} \frac{-2\pm 2i\sqrt{14}}{30} \frac{-1\pm i\sqrt{14}}{15} Is this correct?

Homework Statement The problem is to simplify the following trig equation: csc^4x - cot^4x Homework Equations There really isn't any I can think of. The Attempt at a Solution When I attempt to simplify csc^4x - cot^4x I arrive at the result, from factoring, (csc^2x +...

I remember setting my calculator so it would automatically use the expand function or simplify fractions for me in RPN mode.Since I did a reset I don't know how to put that function on again. For example if I was to put 1 enter 3 divided, I would get 1/3 then if I were to multiply by 2...

Homework Statement \frac{(cos60 - isin60)^5 * (cos45 - isin45)^3}{(cos15-isin15)^7} Homework Equations The Attempt at a Solution I have had several tries so far, but simply do not know what to do. Would somebody be so kind and simplify this expression step by step. I...

Homework Statement x^3/2(x+x5/2-x2) Homework Equations I don't know how to simplify this problem. I don't know any process either. The Attempt at a Solution

Homework Statement "Simplify: (a+2b+3c, 4a+5b+6c, 7a+8b+9c)." All of these are vectors (a=\vec{a}, etc.) Homework Equations I know that set of vectors \vec{x}_1+\cdots+\vec{x}_n \in V is linearly independent if linear combination \alpha_1\vec{x}_1+\cdots+\alpha_n\vec{x}_n equals \vec{0}...

Homework Statement csc(pi/2-x)/cos(x+pi/2) + cot(pi/2-x) The Attempt at a Solution 1/cosx/-sinx + sinx/cosx -1/sinxcosx+ sinx/cosx(sinx/sinx) (sin2x - 1) / sinxcosx -cos2x/sinxcosx -cosx/sinx -cotx is this right the answer key says it is cosx but that could be wrong I...

Homework Statement Differentiate... (3x+4)^7 (7x-1)^3 and simplifyHomework Equations Chain rule and Product rule The Attempt at a Solution I got (splitting the components up to substitute into the product rule) and using the chain rule \begin{align*} \\f(x) = (3x+4)^7\\ f'(x) =...

i'm having trouble simplifying an equation. Basically it's in the form of 1/A=B(1/C-1/D) Now what i can't to do is solve for C. I get to 1 = C(1/AB + 1/D) but do not know where to go from there. Any help would be much appreciated, thanks.

Homework Statement Simplify the following. Write all trigonometric functions in terms of t. Homework EquationsThe Attempt at a Solution I know that: sec(t+2pi)=sec(t) 1+tan(t+3\pi)= 1+tan(t) What about: csc(t-6\pi)? Will it be equal to csc(t). Can anyone please help me with this? Thank you...

Simplify \frac{sinx + tanx}{cscx + cotx} I start with \frac{sinx + tanx}{cscx + cotx} = \frac{sinx + \frac{sinx}{cosx}}{\frac{1}{sinx} + \frac{cosx}{sinx}} At this point I am stuck, I cannot see how we then get from \frac{sinx + \frac{sinx}{cosx}}{\frac{1}{cosx} + \frac{cosx}{sinx}} =...

Homework Statement I feel really stupid asking this, but I'm working on infinite series and my answer is sqrt(2)/(sqrt(2)-1) The book simplifies this to 2 + sqrt(2) and I don't know how this simplification occurs. I'm sure the answer is really obvious and I sure feel stupid not seeing it! Any...

Homework Statement As in title, simplify ln(x(\sqrt{1+e^x}-\sqrt{e^x})) + ln(\sqrt{1+e^{-x}}+1), x > 0. Homework Equations - The Attempt at a Solution So far ln(x(\sqrt{1+e^x}-\sqrt{e^x})) + ln(\sqrt{1+e^{-x}}+1) = ln(x(\sqrt{1+e^x}-\sqrt{e^x})(\sqrt{1+e^{-x}}+1)) =...

Homework Statement sqrt(1+4t^2) Homework Equations The Attempt at a Solution I'm not sure if this even can be simplified. If it can't be how would I integrate it?

Homework Statement sqrt((tcost)^2+(-tsint)^2 Homework Equations The Attempt at a Solution pulled out the sin^2t+cos^2t added the two t^2 took the sqrt of t*sqrt(2)