Recent content by haribol

Thank you quasar987 for the clarification. The manual does include the proof using condition b) but I forgot to type it. Thanks for that clarification.

Linear Transformations Rn-->Rm Question I would be very grateful if someone can explain what is going on in the following problem: Determine whether the following T:Rn to Rm T(x,y)=(2x,y) Solution from solutions manual: T((x1,y1) + (x2,y2)) = (2(x1+x2), y1+y2) = (2x1,y1) + (2x2,y2)...

Understood, thanks for your help Curious3141. I didn't quite see that before.

I don't understand how Ceq can have same charge is C5 since capacitors can only have same charge if they in series and are connected by two wires, one directly from top plate of Ceq to bottom of C5 and the other from bottom of Ceq to top of C5. Is that right or am I wrong somewhere?

Please take a look at the attached picture. How would you go about finding the charge on capacitor 2? My method which didnt work: -combine capacitors 2,3,4 and 5 and get the equivalent capacitance Ceq -Since V across C1 is equal to V across Ceq we can find charge on Ceq by V/Ceq -Then...

Ok, so when we say the rate at which the area changes, does that mean the rate at which the height of each of infinite infinitesemal rectangles which contribute to the total area. If that is so, then the height of each of those rectangles depends on the rate of change of the function f with...

Is it alright to say that, G(x)=\int_{a}^{x}f(t)dt means the sum of all infinitesemal area of a column of width "dt" and height "f(t)" between the interval [a,b] of the area function G(x)? Also, when we say G'(x), do we mean the rate at which the area under the curve f(t) changes as x...

Thanks for the nice explanation arildno, You know when you have something like \int_{a}^{b}f(t)dt is "f(t)dt" a first order differential?

Hi again, Yes that's exactly the function. So far what I've understood about the fundamental theorem of calculus is something like this. Say you have a curve in interval [a,b] and x is somewhere in between. So, The area from "a" to a value "x" is given by G(x)=\int_{a}^{x}f(t)dt...

Hey, So when you say upper and lower Riemann Sums, do you mean taking Riemann Sums with the rectangles inside the graph(lower) and taking Riemann Sums of rectangles outside the graph (upper)? If that is so, then I think I understand definite integral as a specific value, a number. Now how...

Thanks for replying arildno, My textbook says that as the "norm", which is the largest interval amongst the subintervals, approaches zero of a Riemann sum, then that is a definite integral. I do not understand how the norm approaching zero would affect the other subintervals. Can you please...

Hi there, Can someone explain to me what the following are and how each one is used as a tool for the next one: 1)Indefinite integral 2)Riemann Sum 3)Definite Integral 4)Fundamental Theorem of Calculus(The part which says that the derivative of the integral of f(t)dt from a to x is...

I think I solved the problem. I believe the key to this problem is that when each of the gas enters the new volume, the pressure by each gas changes. Then taking the final pressure contributed by each gas in the new volume, I added those to give me an answer of 140mmHg.

Hi guys, I hope you can help me out with this seemingly simple problem. I honestly tried but I couldn't get any answer: A 250 ml flask contains oxygen at a pressure of 150 mmHg and another flask contains 500 ml of Nitrogen at a pressure of 135 mmHg. The two flasks were then connected so that...

Thank you very much guys