Recent content by harimakenji

10 m? This question confused me. Can anyone please interpret waht the question means? Thank you very much

Homework Statement Two particles of masses 8 kg and 5 kg are connected to the two ends of a light inextensible string which passes over a fixed smooth pulley. Initially each of the two particles are held at a position which is 5 m above a horizontal ground. The objects are then released from...

I got it now Thank you very much for the help

My thinking was if the person moves in opposite direction to the car, the relative speed of the person to the car will be higher since the person and the car move away faster from each other. I don't understand why it should be minus, not plus. Can you explain it more to me? Thank you very much

Homework Statement A stationary car with 4 people in it has mass 100 kg. The mass of each of the person is 75 kg. They jump off the car with speed 2 ms-1 relative to the car. Calculate the speed of the car if a. 4 people jump at once b. They jump one by one each time Homework...

Ok, I will forget about the logs for now. Thank you very much for your help

Hi tiny-tim. Thank you for the response I don't really get what you are trying to tell me by using the logs. And one more thing, actually the real question doesn't mention anything about P(x) and Q(x) being in the first quadrant. I just added it myself. If there is no information about the...

Homework Statement P(x) is an increasing function and Q(x) is a decreasing function in interval a ≤x≤b, x is positive. P(x) and Q(x) are located in 1st quadrant. Another function γ(x) satisfies m≤γ(x)≤M. Find the value of m and M if: a. γ(x) = P(x) - Q(x) b. γ(x) = P(x) . Q(x) c. γ(x) =...

Of course I will. That is one way to repay your help :smile:

I got it. I have tried u = (x / cos x) before and was really unsure that this was the right method, but as you said, it really became a simple integration. I gave up before trying to find the term v du, can't let it happen anymore. Thank you very much for your hint and help. I really...

I am still not getting your hint. When using integration by parts, I have to choose u and dv. I don't know how to choose u and dv for this question. How to apply your hint to solve this question? thank you very much

Homework Statement int [x2 / (x sin x + cos x)2]dx Homework Equations integration The Attempt at a Solution can anyone help me to start? thank you very much

I also still stuck on this question until now and my teacher hasn't given the solution yet. Thank you very much for your help and explanation

I can use all the rules here http://www.themathpage.com/atrig/trigonometric-identities.htm Our teachers have different thought. Because this is a proof, we still don't know whether LHS is the same as RHS. If we multiply the fraction of LHS to RHS it means that the equality is already proven...

I guess I am not allowed to use sine rule because the teacher hasn't covered that yet. I also confused whether your method is valid or not because as far as I know, proofing must be done only by doing LHS. Let's make it clear first. When proofing, is it valid if: a. we do the RHS only b. we...