Recent content by laura_a

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    Complex numbers - I'm sure this is an easy - Argand diagram

    I knew it was something simple, but the Fitzpatrick textbook is written for people who already know this stuff, not for people who are learning it so it's pretty tricky, thanks a heap!
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    Complex numbers - I'm sure this is an easy - Argand diagram

    Homework Statement OABC is a square on an Argand diagram. O Represents 0, A represents -4 + 2i, B Represents z, C represents w and D is the point where the diagonals of the square meet. (There are two possible squares that meet this criteria) Find the complex number represented by C and D in...
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    A password with 8 characters, consisting of Upper case/Lower Case &0-9

    I though that 6D + 2U would suit because then I am taking the answer away from 1 so I actually want the opposite of 6D+2U ?
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    A password with 8 characters, consisting of Upper case/Lower Case &0-9

    Homework Statement I am a helping out a friend who is studying Maths at uni, not much help really because I did my degree 10 years ago. I am stuck on a question I was hoping for someone help with the working out: A password consist of 8 characters from Uppercase letters, U, lowercase...
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    A password with 8 characters, consisting of Upper case/Lower Case &0-9

    I am trying to delete this thread but I am not sure how to - sorry
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    How Do You Determine the Unit Vector in Coulomb's Law?

    Thanks heaps, I did learn this at uni (in the 90's) so all has been forgotten! All coming back to me slowly! thanks heaps
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    How Do You Determine the Unit Vector in Coulomb's Law?

    Thanks, I realize I have a lot to learn about physics. I realize 1/sqrt(2)=sqrt(2)/2 now that you point it out! But I guess I have no concept of vectors really so I am really in the deep end. Would it be coincidental that the gradient of the line joining q1 and q2 be negative and the...
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    How Do You Determine the Unit Vector in Coulomb's Law?

    Homework Statement I am a maths teacher retraining in physics, haven't received my textbook yet but attempting the course work, I have the answer to this question and the mathematic skills to solve it, but the notes don't give any worked examples so I have no idea how to go from the law to the...
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    How do you divide a polynomial by (x+1)

    Homework Statement Let p(x)= (x+1)(x-3)Q(x) + a(x+1)+b Where q(x) is a polynomial and a and b are real numbers When p(x) is divided by (x+1) the remainder is 1, what is the value of b I'm revising year 12 mathematics and I've forgotten how to divide polynomials Is it If I...
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    LaTeX How do I get LaTeX to put the infinity on top of the SUM symboL

    I need to make a power series in LaTex that looks like this u = \Sigma^{\infty}_{k=0} a_kx^k But I wan the infinity on top of the sum and the k=0 on the bottom like normal setting out but I can't find out how to do it? Hopefully someone from here can show me! Thanks
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    How do you find a critical value when using a 1% significance level

    Homework Statement The data I'm working with is Sample mean(voltage)=128.25 variance=9/20 sample size=20 SD=3 Z=-2.61 The Attempt at a Solution The first part of what I was doing was a hypothesis test that the true voltage is 130 compared to the alternative less than 130...
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    Finding two solutions for the d.e y''=1

    Homework Statement I need to find the solution to the d.e y''=1 with initial conditions y(0)=y'(0)=0 I have the formula to use Y(x) = y_2(x) \int \frac{y_1}{W(t)} g(t)dt - y_1(x) \int \frac{y_2}{W(t)}g(t)dt And I've worked out easily that one solution is \frac{x^2}{2} I just tried...
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    Why does sin(t)cos(t) = x(1-x)^{1/2}

    Dont worry I worked it out
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    Why does sin(t)cos(t) = x(1-x)^{1/2}

    I'm working on a differential equation, and my answer is sin(t)cos(t) which in the text, they jump from that straight to x(1-x^2)^{\frac{1}{2}} I've forgotten a lot of what I learned in my first few years of Uni and I just can't remember why they equal, I thouht it might be an identity...
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