Simplify Definition and 371 Threads

Homework Statement This isn't really a problem at all. Have been working on some problems in Mary L Boas' textbook with some difficulty, but I have managed to solve the majority of the questions eventually. However, I've been stumped at how to arrive at the precise answers quoted in the book...

Homework Statement let A=B+C where B and C are nxn matrices such that C^{2} = 0 and BC=CB show that for p>0, A^{p+1} = B^{p}[B+(p+1)C]I started trying to simplify both sides, (B+C)^{p+1} = B^{p+1} + B^{p}C(p+1) wanted to get rid of p so multiplied both sides by C which gives C(B+C)^{p+1}...

Homework Statement √8/3 Homework Equations none but there can't be any radicals in the denominator The Attempt at a Solution =√8/√3=2√2/√3... what do i do now.. I can't have a radical in the denominator

I am having problems understanding this. Could someone explain how to arrive at the answer for this problem . (-5/2)(x)(x+3)^(-3/2) + (5)(x+3)^(-1/2) Thank you It says to factor and simplify. Express the answer as a fraction without negative exponents.This is where I get to...

Homework Statement Simplify. Express final answers with positive exponents. ((64m^-36)(n^-15)(p^9)) ^ (2/3) Homework Equations \sqrt[3]{} ((64m^-36)(n^-15)(p^9)) ^ 2 The Attempt at a Solution ((4m^-36)(n^-15)(p^9))^2 = (16m^-36)(n^-15)(p^9) = 1/(16m^36)(n^15)(p^-9) I...

Homework Statement 10P8 Homework Equations The Attempt at a Solution 2 1,814,400 3,628,800 80

Homework Statement A student throws a ball downward at a velocity of 8.0m/s from a height of 25m. How long until it hits the ground? What is the velocity of the ball as it hits the ground. Homework Equations What is thee formula when simplifying for T(time)? The Attempt at a...

Fraction is: \frac{1-e^{-x}}{1-e^{x}} and it's meant to go to: -e^{-x} I can't make it look like it needs to. I tried splitting it up but that goes nowhere. What other strategies are there for simplifying fractions like this? Thanks for any help.

Hi, I'm new to this forum, so if there is anything wrong in this post please forgive me, I'm not sure my post will be shown correctly, so I attached a doc file. The question is A lightly damped harmonic osillator, γ<<ω0, is driven at frequency ω. 1, Find the frequency of the...

Homework Statement show \frac{1}{(n-1)^2} - \frac{1}{n^2} about= \frac{2}{n^3} n >> 1 Homework Equations The Attempt at a Solution The first thing I tried was to put the expression all into one term. so I got \frac{-n^2 + 3n - 1}{n^3 - 2n^2 + n} Unfortunately, I'm not sure where to go next...

Homework Statement (3xy^3)(4x^-3y^-2) Homework Equations ? The Attempt at a Solution = 12y ----- x^2

Homework Statement find the difference quotient and simply your answer. f(t)=1/t, [f(t)-f(1)]/t-1, t doesn't equal 1 Homework Equations the book says the answer is -1/t, t doesn't equal 1 The Attempt at a Solution (1/t-1)/t-1 (1/t-t/t)/t-1 (-1t/t)/t-1 -1/t-1...

how the heck do you simplify this ? (Ln (2x/y) / Ln (x/y)) = m/n HELP ME!

I have gotten this far: Using cos(2θ) = 1-tan2θ / 1+tan2θ From a previous question: Let θ= arctan(x): cos(2θ) = 1-tan2(arctan(x)) / 1+tan2(arctan(x)) =1-x2 / 1+x2 Where x2 cannot equal 0 or a negative number Have I done this in the right way and if so is this as far as I can...

can someone show how to simplify \frac{12x+9}{x} = x+9 so that it is in the quadratic form: x^2 -3x -9 = 0 multiplying both sides by x, subtracting both sides by 9 etc. . doesn't give me the quadratic.

\frac{\beta^\alpha \Gamma(\alpha + 1)}{\Gamma (\alpha) \beta^{\alpha+ 1}} = \frac{\alpha \Gamma (\alpha)}{ \beta \Gamma (\alpha)} = \frac{\alpha}{ \beta} This is the solution. In trying to get the middle expression out of the first I quickly end up with a mess. How should I approach this?

Hi. I have done this question multiple times and come up with a different answer each time. Q. 1.) Expand and simplify (3x-5)^2+(x-4)^2-10(x+4)(x-1) So far I've gotten = -72x +1 = 1 - 72x And some others. Any help would be great.

Homework Statement Simplify fully: log a + log b – log b^2 The Attempt at a Solution I don't even know where to start...

"simplify the expression" need answer in the following: f(x)/g(x)

I have to simplify this equation and express it as a radical at the end. 16x^7 / y^4 and cube root everything. I've tried expressing everything as exponents but it doesn't seem to get me to where i want to go. I attempted at factoring into two radicals with one containing a perfect...

cos 4x + cos 3x/ sin4x - sin 3x Please somebody check this over! The answer in the book is: cot (x/2)

Simplify the following expressions using Boolean algebra. a. AB + A(CD + CD’) b. (BC’ + A’D) (AB’ + CD’)

I can't seem to figure out how to simplify this! n(n+1)/2 + n+1 which they were able to get (n+1)(n+2)/2 by simplifying that and this n(n+1)(2n+6)/6 + (n+1)^2 and they were able to get (n+1)(n+1+1)(2(n+1)+1)/6 out of this one. Any help is greatly appreciated.

Homework Statement sec+csc/1+tan The Attempt at a Solution i tried simplifying it and the farthest i got was: 1/cos + 2/sin + cos/sin^2 im not sure that's even right

Could someone tell me which trig identity this chap (in a Physics textbook) is using to turn sin(Kx)sin(2Kx) into sin^2(3Kx/2) - sin^2(Kx/2) Cheers.

Homework Statement I want to know the principle of weigh meter and how to make a "withdraw movement" from "pressing movement by a simple way Homework Equations The Attempt at a Solution

Homework Statement Its all part of a show that question from an example paper that I'm doing. Apart from this part I have the answer. Just wondered if anyone could show me the substitution that I would have to make. Starting from (\frac{sin3\gamma}{sin\gamma})^2, and ending up with...

Homework Statement Simplify fully the following equation Homework Equations \frac{4x^{2}-6x}{4x^{2}-9} The Attempt at a Solution the 4x² cancel each other out and 3 goes into 6 and 9 so the answer is \frac{-2x}{-3} but that seems to easy for the penultinate question on a...

Homework Statement F(A,B,C,D) = (sum of) m (2,3,5,7,11,13) Design a two level network to implement the above sum of products: Homework Equations F(A,B,C,D) = (sum of) m (2,3,5,7,11,13) The Attempt at a Solution K-map ___Ab CD|00..01..11..10 00| 01|1...1...1 11|1...1...1 10| My...

Homework Statement I need the first equation simplified, the second equation solved, and the third factored. I've been trying to solve these three forever today. Homework Equations 1) 6+√3 ÷ 2-2√3 (those are radical signs) 2) √k+9-√k=√3 (the k+9 is all under the radical sign) 3)...

Homework Statement Simplify and Solve the Following Trigonometric Equation Homework Equations \cos^2 x - 3\cos x - 2\sin x +2 =0 The Attempt at a Solution I've changed the expression, but it doesn't seem any better... I've got \frac{\cot x \cdot (\cos (x) -3)}{2}=1 - \csc x...

Any Takes?

I was given the problem: "What minimum force is required to drag a carton of books across the floor if the force is applied at an angle of 45 degrees to the horizontal? Take the mass of the carton as 40 kg and the coefficient of friction as 0.60. Free Body Diagram (Given by physics teacher)...

Given: W = J/s, J = Nm, N = kgm/s2, Hz = 1/s Convert W2 / NJHz to mks and simplify. Can someone help me out with this please? Thanks.

hey just wonderin if any1 could give me a hint as to the best method to prove the following trigonometric indentity: sin^4x-cos^4x = 1 - 2cos^2x i tried the side more complicated first...but can't seem to hav any luck...other then maing it more complicated! umm the x's are meant to be...

can i put together two different things which have the same power? for eg: (2x+3)^(3/2) + (4/2x)^(3/2) can i do anything to simplify? thanks

I have a problem where I got the final answer: 1 1 - --------- - -------- (u - 1)^2 (u + 1)^2 which is correct, but the book further simplifies it to: 2(1 + u^2) - ------------- (u^2 - 1)^2 I tried and tried, but couldn't figure out how to...

If you wanted to model a filter in an airflow using CFD, how would you go about it? I imagine that an exact model of a filter would be way too complex to model and take vast amounts of time to solve, so there must be some kind of simplification? I was thinking that maybe some known properties of...

I'm just looking through some work I did a while back and trying to simplify an expression, epsilon_{0}epsilon_{r}=epsilon is there an expression for mu_{0}mu_{r}?

I have three math problems that I am unsure of how to do. could someone please help thanks. \sqrt[3]{-8x^3y^3z^3} ({4xy^-1}/{16xy^2}) \sqrt{98}+\sqrt{2}

I have no formal training in set theory, and I need to simplify the following: (A\cup B - A\cap B)\cup C - (A\cup B - A\cap B)\cap C Preferably, it should somehow end up as: A\cup (B\cup C - B\cap C) - A\cap (B\cup C - B\cap C)

I'm not getting this. Can someone show me how they got from this: - T cos ( \theta ) + (T + \Delta T ) cos ( \theta + \Delta \theta ) =0 to below by dividing by \Delta x \frac { d (T cos\theta)}{dx} = 0 Im just not getting it for some reason... The first term would be...

I have to find out how to make this simplification 2\pi \sqrt{ \frac {Ml^2+2Mr^2/5+m(l-r)^2/3} {(Ml+m(l-r)/2)g}} \approx 2\pi \sqrt{\frac{l}{g}(1+\frac{2r}{5l}-\frac{1m}{6M})}. This is for a project I have to do, but I have never done any such simplifications before. I don't know which...

I have a function here... r(t) ={6Sqrt[2]t, 3Exp[2t], 3Exp[-2t]} I needed to find the norm of r'[t]... yet when Mathematica tries to simplify it, it can't do it with simplify, powerexpand[simplify[]], fullsimplify... and this function IS suppose to be able to simplify. I then started...

Ok I got an equation here... 2\sqrt {\frac{{(1 + 2t^4 )^2 }}{{t^6 }}} is the equation (sorry for misleading title but its the same concept). Now I was always under the assumption that the top square could be removed as long as you reduce the bottom to t^3 since t^3 squared is t^6 and that you...

Beyond the basics (mean, variance, distributions, simple test, regression, ...) statistics looks like a huge mess -to me- . Any method has typically 10 variants and can be 'colored' in 10 flavors, not to mention technicalities like missing data handling, binary data, ... and people's names...

hello i have to simplify this : sin(a)sin(b-c) + sin(b)sin(c-a) + sin(c)sin(a-b) I did simplify it and I got it equal to zero. But my problem is, I did too many steps in order to do that. Does anyone have a shorter way to simplify that ?? thx!

Hi, Could someone help me to simplify this expression: 6n^5+15n^4+10n^3-n Thanks, :smile:

(sin120+tan120) / (sin150+tan150) I tried to simplify this, but it only gets more complicated. I converted the sin120 to sin 60, the sin150 to sin30. How can I make the tan 120 simpler, the rule sinQ/cosQ=tanQ is not useful because you end up with an angle for cos which is greater than 90 and...

I need some general guidelines on how to simplify factorials. I'm in Calculus III and the Prof. and unfoutunately our textbook has glossed over how to do this. All the factorials we are dealing with now are in relation to sequences and series. so I'm dealing with expressions that...