Exercises — 166 discussions

  1. F

    Where to find challenging physics exercises for 12th grade

    Hello everyone! My question is simple. Is there some website with really good and tricky physics exercises? I'm in 12th grade but I have also been studying and practicing by myself for some time now. I need 12th grade topics but with harder level questions. Any ideas would be great...
  2. benorin

    Graduate Geometric product and infinite products with power-of-two exponents

    I hope you have fun with these... OK, so you know the geometric series, right? It goes like this: \sum_{k=0}^{\infty} z^k = \frac{1}{1-z},\forall z\in\mathbb{C}\mbox{ such that }\left| z\right|<1 How about this one? Call it, say, the geometric product: \prod_{k=0}^{\infty} \left( 1+...
  3. K

    Computer science exam: sound, current, diodes, Hall effect

    Hi all! This is my first post... so have mercy on me o:) We had an exam from computer technologies today and there were only 8 of us loosers who still didn't pass it :blushing: and no one is sure about the correct solutions: 1.) What is wave frequency of 0,5m long whistle sound? What is...
  4. C

    Where can I find a Calculus book with extensive exercises?

    Hi everybody, I am searching for a Calculus book that is focused on exercises and not on theory. I am studying multivariable functions and I need a book with lots of solved exercises. I especially want to focus on the double,triple,surface and line integrals. Any suggestions?? Thanks
  5. H

    Undergrad If B²=B, prove det(B)=1 or B is singular

    B is a n*n matrix 1. Let B^2 =B. Prove that either det(B) =1 or B is singular. 2. If Transpose(B) = B^-1 , what is det(B)? Sorry I am asking, but I can't figure them out! I'd really like to improve my linear algebra skills. Thanks!
  6. L

    Graduate Exercise solutions for Peskin and Schroeder's quantum field theory

    thanks for advices.
  7. H

    Graduate Showing Q(√2, √3, √5) is a simple extension

    I haven't studied Galois theory, just seen some exercises on it. However I would like to know how one can solve this problem: Show explicitly that \mathbb{Q}\left( \sqrt{2},\sqrt{3},\sqrt{5} \right) is a simple extension over \mathbb{Q} . I don't think I will understand the solution, but...
  8. Y

    High School Why are factoring and quadratic formula signs reversed?

    Hi Does anyone know any good sites that offer Grade ten math exercises? It's for my sister. Canadian grade ten math, she's doing stuff like quadratic equations, factoring, linear equations. Also can someone explain to me why when you factor an equation with the quadratic equation the answers...
  9. C

    Where Can I Find General Physics Questions for Exam Preparation?

    Can somebody suggest a few website with lots of general physics questions? I need them for my preparation for exam. Please help. Thanks.
  10. M

    Solved exercises for operational amplifiers, transistors, and sources

    Hi there all! I am sitting for an electronics subject for an Applied Physics course I'm studying here in Greece, but as the educational system does not make you attend the courses (in class), I don't have any solved exercises on Electronics! I made a quick search all over the net, found...
  11. E

    Boy's displacement vector and solving for coefficients a and b

    Hello Everyone, In school I had a test of Vector exercises. The problem is that I have to submit them online and I need the exact value for the questions. Anyway I don't want you to solve them for me. I just need some help where I am stuck. The first exercise: A boy runs 3.3 m North, 7.1 m...
  12. A

    High School Physics and calculus problem books for IPhO preparation

    Hi! I am a high school student, and I am planning to go to IPhO next year, so I am trying to study a little hard and deep Physics and Maths (Calculus, also some other parts that are necessary). However, I am reading a Feynman textbook, so I haven't exercises to do. And the other books that I...
  13. A

    Websites with online electrical engineering exercises

    online exercises?? is there any website that provides online exercises for electrical engineering??
  14. 1

    Graduate Three number theory proofs: divisibility by sums, GCD property, and powers

    hey i have more problems that can really exercise the mind! here are 3. 1. prove if q is divisible by (r +s) then either q is divisible by r or q is divisible by s. 2. if d>0, (fd+ed) = d(f,e). proof. 3. a divisible by b => a^m divisible by b^m a,b,m are in Z+. i think i have...
  15. 1

    High School Is There a Contradiction in the Brain Teaser with Positive Integers x and y?

    if x and y are pos. int. then rx >=y. x is an int. help!
  16. MathematicalPhysicist

    Undergrad Check partial derivative answers for f(x,y) = (3xy - 4y²)³ and f(x,y) = y/(x + y)

    here there are Exercises on Partial Derivatives: http://www.uAlberta.ca/dept/math/gauss/fcm/calculus/multvrbl/basic/partl_drvtvs_exrcss/partl_dervtv_exrcss.htm can comeone please solve the first two problems (for some reason i can't read the answers). my answers: 1. 3(3xy-4y^2)^2(3x-8y) 2...