Recent content by Taturana

This helped. Thank you very much.

Suppose a fire truck, with a huge tank of water. If the tank is half-full, when you slow down the water's inertia is going to push the truck forward. When it's full, the water can be thought like a solid, so it doesn't have the same effect. The question is: what are the concepts involved in...

Homework Statement There is a city with 10 million people and an average human has 110 000 hairs. Prove that there is at least 2 people with the same amount of hair. The Attempt at a Solution I really have no idea of how to even start solving this problem. Sorry. Also, sorry for the...

Thank you for your response, rcgldr. I have tried simple substitution. Tried to come up with one equation of one variable from substituting, summing and manipulating the system's equations. But I could not get an equation of one variable, at least with the substitutions I tried. I don't...

Homework Statement Solve this equation system for x, y and lambda. \left\{\begin{matrix} 2x = \lambda (2x-6y)\\ 2y = \lambda(-6x-14y)\\ x^2-6xy-7y^2+80=0 \end{matrix}\right. The Attempt at a Solution I really tried A LOT of things, but I can't solve it. I think it is not helpful to post...

Hello, Suppose a simple transformer, not connected to a circuit (just to the home AC). If we get a multimeter and measure its resistance we will get a number. So if we plug it into the home AC, it will consume energy (constant power). Now suppose we have a desktop computer power supply...

Not even the inverse function thing? Thanks!

Thank you for the replies. It gave me a great advance. But I still have some questions. I notice that everyone when teaching this reverse order of integration thing tells: look at the figure, analyze it etc. 1 - Isn't there a RULE for finding the new OUTER bounds? By rule I mean an...

Hello, I am talking about double integrals. I have seen many examples of how to reverse the integration order when current order is too difficult to calculate. But I still don't fully understand how to do it. I would like you to help me understanding this. Suppose the integral: ∫∫f(x,y)...

I'm studying arithmetic of numbers. I want to understand why the product of, say, -3 for -4 is 12 and not -12. Thanks

What's the proof for a negative number times another negative number gives a positive number? Thank you

Could someone explain me the difference between the inner product and the dot product? Thanks all

Ahh, I see. But it does not tell me why the derivative is the inverse of antidifferentiation, does it? Thank you again.

Thank you all for the replies. Yes, I understand, and it does help a little bit. But, generally, you only said what I said in my post. What you said proves that there is a intrinsic relation between the integral and the derivative. But it does not prove that the derivative is the inverse...

Greetings, We know that the two operations (integration and differentiation) are inverse. I mean, if you integrate a function and differentiate the result of the first operation you go back to the first function. But I'm trying to understand WHY. Of course there are a lot of mathematical...