1. J

    Critical Points

    f(x) = |2x|-|x - 2| Are, x = 0 and x = 2, considered as Critical Points? --------------- Our doctor said that they are not, but I argued with him that they are Critical Points. --------------- Is his statement correct?
  2. AdamFulton

    finding the biggest number needed that multiples to the numbers in a set

    I am trying to figure out a way to find the biggest "small" number that I need to multiple within a set of numbers... For example using the numbers 1-10 as the set Small number (SN) Largest number (LN) SN times LN 01 10 02 05 03 03 01 09 02 04 01...
  3. M

    summation of alternating squared numbers

    Hello I have been stuck on this exercise for quite a while now: Show that: \sum_{k=1}^{n}(-1)^k\cdot k^2=\frac{n\cdot(n+1)}{2} by using these two summation formulas: \sum_{k=1}^{n}(2k)^2=\frac{2n\cdot(2n+1)\cdot(n+1)}{3} and \sum_{k=1}^{n}(2k-1)^2=\frac{4n^3-n}{3} My initial guess was...
  4. M

    Primality Test for Meresenne Numbers

    How to prove that following hypothesis is true? Hypothesis Let M_p=2^p-1 such that p \in \mathbb{P} and p \ge 3 . Let S_i=S_{i-1}^2-2 with S_0=194 , thus M_p is prime iff S_{p-2} \equiv 2 \pmod{M_p} I have checked this hypothesis for all odd primes p below 10000 . Any hint will be greatly...
  5. H

    inequality about complex numbers

    Hi, given complex numbers z1,...zn'shob that there exists a subset J of {1,...,n} such that : attached attempt :i tried to use the residue theorem for the function (z-z1)*.....*(z-zn)/z^n on a circle of around the origin
  6. A

    Different answers if using imaginary numbers or not

    If a and b are positive real numbers, then ( (-a) * (-b) )^0.5 has two answers, which is correct? Not using imaginary numbers: ( (-a) * (-b) )^0.5 = ( ab )^0.5 Using imaginary numbers: ( (-a) * (-b) )^0.5 = (-a)^0.5 * (-b)^0.5 = i * a^0.5 * i * b^0.5 = i^2 * ( ab )^0.5 = -( ab )^0.5
  7. R

    Equation with complex numbers

    Any thoughts, clues on this one? Find all complex numbers such that Thanks!!!!!
  8. H

    Need help with negative numbers and order of operation

    Ex. 3= -7 - (-x) Please help me with the steps. I think the first thing I should do is get "x" by itself. To get x by itself , the way my mind is telling me to do is is to add "-x" to both sides of the equation ,giving me 3x =-7 . I don't even know how to continue with this because I'm...
  9. E

    Prime Numbers

    Hi, I am confused about this question: ​How many factors does x^2 y^3 z^3 have where xyz represents different prime numbers? Any help much appreciated, Thank you in advance, EbonyJade :)
  10. H

    Probability distribution of two numbers randomly changing

    Hello, I need help from this community, hoping that there is an experienced mathematician reading this post. I would like to calculate the probability distribution for the following problem: two numbers can change randomly with probability m from a given set of numbers of length a. For...
  11. P

    Complex Numbers puzzle

    Hello everyone, ive got a new Maths sequence number puzzle which is kind of tough to crack, can you validate and crack for the next sequence number? List 1 - 26 40 38 17 3 4 10 List 2 - 43 39 13 6 18 2 8 List 3 - 33 10 18 40 17 8 2 Based this, can you understand the logic and Make list 4...
  12. S

    Convert these numbers into coordinates

    Hi. I'm trying to convert these numbers into coordinates (degrees-minutes-seconds). 0033785 They should start with the North coordinates of 64. I have tried everything from number sequences as PI-decimals, Eulers, Fibanacci etc, to the Periodic table and score rating in darts :-) Can anyone...
  13. O

    Casio fx-100AU PLUS - problem using squared function with negative numbers

    Hello I am new to doing maths and bought a CASIO fx-100AU PLUS. Is this a good choice? I am allowed any scientific or graphics calculator for doing calculus. Also I am confused, when I type in -1 squared it says -1 but -1 times -1 = 1? What am I doing wrong? Thank you
  14. J

    on Word Problems: Numbers, consecutive

    Watch THE LITTLE PRINCE full movie online Watch FAN full movie online FAN Full Movie DOWNLOAD Watch HELLO, MY NAME IS DORIS full movie online Watch THE 5TH WAVE full movie online Watch APRIL AND THE EXTRAORDINARY WORLD full movie online Watch RISEN full movie online Watch Minions full...
  15. B

    More complex numbers

    Hi I have to solve for z in the following equations and sketch points on the complex plane: 1.(5+i)z=3 2. z^2+2iz+1=0 3.z^4=16 Am I correct in thinking I could solve 1. without using polar form however need polar form for the other 2. Also, I tried converting 1. into polar form anyway for...
  16. B

    How to write imaginary numbers

    Hi, I have a question to solve: y''+4y'+25y=0. Substituting theta e^theta(x) - led to theta = -4+or-(sqrt -84_/2 (ie 4 plus or minus sqrt -84 all divided by two). This leaves two imaginary numbers generated by taking sqrt of -84: To write these do I write e^i-4+(etc rest of quad form) and...
  17. G

    Post subject: Sorting n real numbers in O(n), number of digits is O(1)

    I need to explain how to modify radix sort, in order to sort n real numbers, when every number has O(1) digits. General and short description is enough. I thought of making the numbers to have same number of digits left and right to the decimal point, then sort with radix sort only the negative...
  18. K

    solve cos z = cosh z in complex numbers

    Can someone help with this? Wolfram Alpha gives solution but I don't know how they come up with it. I know cosh z = cos iz and cosh iz = cos z but that doesn't help me here.
  19. T

    Complex numbers

    This is for a Principles of Applied Mathematic college course. I am having trouble expressing ln(-1-i) in the form a+ib Thank you
  20. E

    Complex Numbers

    1) Express w=-12+5i in the form w=reitheta 2) Express x1=eipi/2 and x2=eipi/6 in the form x=a+ib 3) Express x1/x2 in the form x=a+ib I just don't really understand complex numbers and how you would express that formula in the form. Could someone help at least with the first one so I...