Recent content by fakecop

Homework Statement Given an axis vector u=（-1, -1, -1) , find the rotational matrix R corresponding to an angle of pi/6 using the right hand rule. Then find R(x), where x = (1,0,-1) Homework Equations I found the relevant equation on wikipedia (see attachment) The Attempt at a Solution I feel...

Thank you for your answers everyone, you explained this topic very well!

Yes, but my teacher is saying the reactant side has more nuclear binding energy than the product side does, and I'm saying that the product side has more nuclear binding energy. Nuclear binding energy is the result of the mass defect when individual nucleons are combined together, so when...

Hello. My teacher and I have had this very intense debate for quite some time now and we need your opinion on this issue. This question is, where does the energy released in a nuclear fission reaction come from? (Please use the terms "nuclear binding energy" and "mass defect") My take on this...

Found a good one here. Hope it helps. http://tutorial.math.lamar.edu/pdf/Common_Derivatives_Integrals.pdf

Reminds me of this. This should make this graph with the milk, shouldn't they?

When you expand this, you get x^3-x. I attached the graph below. This is what I'm talking about-it's impossible for you to determine the actual degree, because one simply cannot distinguish the sign of derivatives beyond third order. In this case the third degree graph and the fifth degree...

Thank you everyone for your replies. But my teacher seems only to be interested in her own interpretation of the question. I did manage to persuade a few classmates but some of them maintain that the answer is 3. Guess I will have to make do with that...

Yeah, I tried to use my calculus knowledge to talk to my teacher about this (I even made a graph for the second derivative) but she just won't listen to me. She said that if I knew nothing about calculus, then I would understand the question the way she intended to. I've been very upset...

Homework Statement Determine the least possible degree of the function corresponding to the graph shown below. Justify your answer. Homework Equations The graph is attached. I remade the graph using google grapher, but the graph I got in the test have exactly the same x-intercepts (-2 of order...

wow I spent a week thinking about that question and you just helped me solve it in a few minutes. So I get a+b=2 and -2a+b=-19. solving, we get a=7 and b=-5. R(x)=7x-5. So happy to see a simple solution, Thank you!

Homework Statement When a polynomial is divided by (x+2), the remainder is -19. When the same polynomial is divided by (x-1), the remainder is 2. Determine the remainder when the polynomial is divided by (x-1)(x+2)Homework Equations The Attempt at a Solution had the polynomial been a real...

what if a was a complex number or a quaternion?

Yes-this is the heart of the question. So what is more right mathematically speaking? Should distinct factors be counted as separate factors or not?

Yes, my mistake. I said that you can either have four linear factors, two of which are complex conjugates, or you can have three real factors, one of which has degree 2. The original words are: "Give one reason that a 4th degree polynomial function might not have four factors. Provide an...