1. J

    Squeeze Theorem

    Our professor want us to prove that lim sin x / x as x goes to 0 = 1 by using Squeeze Theorem. He told us that sin x will be between tan x and x. I did this tan x <= sin x <= x tan x / x <= sin x / x <= x/x sin x / x cos x <= sin x / x <= 1 now I will take the limit (lim sin x / x as x...
  2. D

    Proof By Induction and Direct Approach

    Hi all, I just started class and already have no clue what I'm doing. I've looked through my notes, looked through the lecture slides, and tried to google how to do it and watch YouTube videos but I still can't figure out how to do it.Let asubn =1/(n(n+1)) : Compute asub1; asub1 +asub2; asub1...
  3. L

    To understand maths

    Hi, I just finished my first University year (mathematics), and I am writing this since my main interests on mathematics are metamathematics , the philosophy of mathematics and its foundations. I think that to study and analyze maths from this perspective I have to know how to work in certain...
  4. S

    Approach to problem

    I'm trying to solve a problem I have and can't seem to figure out the formula (been a while since statistics). I have two groups of things (A and B), A is 30% of total population and B is 70%, the probability of an event happening to group A is 20%, the probability of an event happening to...
  5. Bernhard

    First Approach To Differential Forms

    What text (or chapter or section of a text) would Math Help Forum members regard as the best first introduction to differential forms?
  6. A

    Did I do this question right and how would I approach this other problem

    Hello, I'm wondering if I did the question in the link below correct: I'm also unsure of about how I would do 3. (a) in the other link below: Thank you!
  7. Z

    Find Area Using Ratio Approach!

    hi all.. i have a question : "Circumference of a rectangle is 120 cm. Ratio of the length and the width is 3 : 2. The area of the rectangle is.... A. 664 cm2 B. 764 cm2 C. 864 cm2 D. 964 cm2 how to solve it with ratio method.. may be with quick solution.. do you have a smart idea? thanks...
  8. I

    for finding the rank of matrix M ,how to approach this excerse ?

    over a field F there're elements a1, a2, ...,am not all zeroes and also b1,b2,...,bn are elements not all zeroes. what is the rank of matrix M=(mij) such that mij = aibj .explain. -------- I just finished the subject of a rank. and i thought i understood it very well. the rank is the...
  9. L

    Why Do You Divide Bottom Denominator of Limit by -X When it Approach -Infinity?

    Hi everyone! I was doing a homework assignment involving limits today, and something came up that didn't make any sense at all to me. In the example for finding the lim (x-> -Infinity) (3x-2)/sqrt(2x^2+1), the examples says to divide both the numerator and denominator by x. It does this in a...
  10. C

    P-value approach

    There is the data, below is the Qs and my attempts. I got the same answer for both, I'm confused. Is it even right? Thanks so much guys. (c) H0: B3=0, H1:B3>0, with =0.05 using the p-value approach. (d) H0: B3=0, H1:B3<0, with =0.05 using the p-value approach. (c) H0: B3=0, H1:B3>0, with...
  11. B

    Help with this. I am stuck on how to approach this.

    I am thinking Geometric mean, but I am not sure. If it was Geometric, I would require how much they invested at the beginning correct?? I am a bit confused on this one. Any help would help on how to approach the questions below. Do I take both, and do the regular finding the Mean, Variance...
  12. R

    Tangent to a circle with unusual approach

    Suppose you wanted to work out the tangent to a circle say x2+y2+4x-6y-12=0 at say P(2,6). There is a bog standard approach which involves finding gradients and using straight line equation. This approach will give the answer 4x+3y-26=0 Have a look at this: rewrite the circle equation thinking...
  13. A

    Looking for approach to prove $\bar{x}$ and $s$ are independent for t-statistic

    Given t statistic $t = \frac{\bar{x} - \mu}{s/\sqrt(n)}$ Could anyone mention the approach to prove $\bar(x)$ and $s$ are do not need to prove it...just tell the methods. As I knew that there are several methods to find $\bar(x)$ and $s$ are independent One approach that I...
  14. H

    Not sure how to approach.

    In the figure AD is the external bisector of angle EAC intersects BC produces in D. If AB=8, AC=6, BC=3, find CD.
  15. L

    Computing a uniform distribution of points inside a Sphere !? What is the approach?

    Greetings to all shiny minds! I am working on a project that requires computing a uniform distribution of points inside a sphere of radius R. If we assume that R=1000 and I divide it evenly by 100 then there will be 10 points evenly distributed over the coordinates of a single radius, or 20...
  16. Jason76

    a to u Integration - A different approach

    \int_{1}^{5} 3^{2x} dx u = 3^{2x} du = 3^{2x} * \ln 3 * 2 dx \dfrac{du}{ \ln 3 * 2} = 3^{2x} dx \dfrac{1}{2} \int_{u}^{u} \dfrac{du}{\ln 3} \int_{u}^{u} \dfrac{du}{2 \ln 3}
  17. P

    T-Distribution, Hypothesis Test... Using P-Vale Approach

    This problem is confusing me quite a bit. I know how to do the classical method, no problem. But the P-Value approach is throwing me for a loop. I know how to get via the calculator but manually it's a little tricky. For example, this becomes t(t-2.488)=.0086... I have done the DF, have looked...
  18. RemiAure

    My difficulties in the text _How to Prove It: A Structured Approach, 2 ed_

    This is a thread for any major difficulties I come across in How to Prove It: A Structured Approach, 2nd edition by Daniel J. Velleman. This has a counterpart thread at Physics Forums, but it's been a day since I started it with no help yet. The Problem Exercise 1-(c), page 81. Analyze the...
  19. O

    Hint on how to approach this Kernal and Range problem

    Hi I know how to do problems most problems on Kernel and Range but this one for some reason I can't do Please guide me towards how to do this one
  20. B

    The Naive Bayesian Approach to machine learning

    A short tutorial on using the Naive Bayesian approach to machine learning Probability Puzzles: The Naive Bayesian Approach to Machine Learning