Recent content by Paul245

thanks acabus, all

\frac{2i}{(2i+1)!}=\frac{2i}{(2i+1)(2i)! } =\frac{2i}{2i(2i)! + (2i)! } = \frac{2i}{2i(2i)! + 2i (2i - 1)! } = \frac{1}{(2i)! + (2i - 1)! } and now what?

\frac{2 i}{(2 i + 1)!} = \frac{1}{(2 i)!} - \frac{1}{(2 i + 1)!} Could anybody please show what it is that needs to be done on LHS to get to RHS in this identity.

It has just dawned upon me that, in fact, the pressure of the water at boiling point (100C) is 1 atm. Hence if it is a closed system, that pressure will increase according to the standard saturated liquid water table. Thanks a lot.

Hi There Can some one please help me find a table or chart that has accurate data for water pressures and temperatures at constant volume. I'm testing how much pressure an aerosole canister can take by filling it with water, sealing it and applying a flame tourch. I know how much heat the...

incompressable flow

Can anyone tell me what the velocity of air coming out a valve of a tyre pumped to 200 kPa would be? What equations to you use?

Hi Thanks for your response. Say there's a boiler with a single outlet. It contains a volume of water at room temperature. Then transfer some heat so that the water evaporates and pressure increases. What is the best way to determine, pressure inside the boiler and the speed of the steam...

Taking a mathematical viewpoint. Assuming the universe is infinite. That means certain thermodynamic properties would no longer be defined by the simple fact that most mathematical operations involving infinity are undefined or have no meaning. The conclusion therefore is that, if the universe...

Hi There I'm wokring on a miniature steam car ~0.7kg. I've decided that I would like to investigate the feasibility of propelling the car with a steam jet. So I found a couple of equations that work on the velocity of the exhaust. Equation 1) De Laval nozzel equation for the velocity of the...

Definition of a Definite Integral Hi Subject Change to: Definition of a definite Integral Thank you for your response. I've been thinking about your post and I understand now that the Riemann sum itself can never be defined if c_{i} does not lie within...

Hi Mathman Thank you very much for your response. I agree. But also, our textbook says that for it to be defined as a general riemann sum that c_{i} must be within [x_{i-1}, x_{i} ] The following two limits produce the same answer but the last one does not satisfy the...

Hi There Everyone I am studying undergraduate calculus in first year. My question regards the rules for identifying a limit sum as a Riemann sum and therefore a definite integral. The book we are using says that when choosing \inline \large c_{i} for some f(x) , if \inline \large x_{i -...