Recent content by Ikastun

I have a scant knowledge of hydrostatics, to say the least. My answer is just a guess, given that they are identical triangles and they are at the same depth. The only difference is their position, but the basic formulas of pressure and force do not consider the position: p=dgh F=PA Am I...

The question is part of a mechanical aptitude test. The correct answer is 2, but there is no explanation. I do not understand why is 2, and not "equal on both". Can anyone give me some clues?.

Homework Statement A and B put an amount of money in a bank for a period of two years. If both players take the money during the first year, each one gets 75$. If A (B) takes it y B (A) keeps it, A (B) gets 100$ and B (A) 50$. If none of them takes it, they move to the second year. Then, if...

Hello and thank you for answering. My problem begins with the part you quote. I don't know how to properly use the recursive formula in those cases. Regarding my attempt to calculate the integral, what I wrote above is everything.

Homework Statement ∫(0,1) √x/√[3]1-x Homework Equations \Gammap\Gammaq/\Gammap+q The Attempt at a Solution p-1=1/2 →p=3/2 q-1=-1/3 →q=2/3 β(3/2,2/3)=\Gamma(3/2) \Gamma(2/3)/\Gamma(13/6) \Gamma3/2=1/2\Gamma(1/2)=√π/2 \Gamma2/3=-1/3 \Gamma13/6=7/6 1/6=7/36 β(3/2,2/3)=-6√π/7

∂z/∂y=∂z/∂u*∂u/∂y+∂z/∂w*dw/dy.

Thank you. What about the following expression: ∂z/∂x=∂z/∂u*∂u/∂x+∂z/∂v*dv/dx?. Same to ∂z/∂y with w.

Homework Statement Be z=F(u,v,w), u=f(x,y), v=e-αx, w=ln y, get the expression \partialz/\partialx, \partialz/\partialy. Homework Equations Chain rule. The Attempt at a Solution \partialz/\partialx=\partialz/\partialv*dv/dx=-α e-αx \partialz/\partialy=\partialz/\partialw*dw/dy=1/y

Thank you all for your help. I think I got the solution after trying with n= 4, 6, 7, 8, 9 and 10. When n=4 A takes 1, they remain 3 so B loses. A's winning strategy is 1 stone in his first turn. When n=6 then A doesn't have any WS whether he takes 1 or 2 stones. If he takes 1 there are 5...

Homework Statement Two players: A and B. Players can take 1 or 2 stones per turn. The player who takes the last stone wins. The question is: is there any winning strategy with 5 stones?, does it change with 1000 stones?. Homework Equations None. The Attempt at a Solution If...