Recent content by movie_detective

No sorry, I don't

Isn't the radius r/2 in this case as the base is r meters long ?

Hey all, I'm having a bit of trouble with the second step proving with this question: Suppose you have n lines in a plane, arranged so that no three of the lines are concurrent and no two of the lines are parallel. Show that , for n greater than or equal to 1 , n such lines divide the plane...

Thx for answering. In the answers, it was just -1 and I considered that the answer should vary depending on the domain...

Hey all, Could someone please try these questions to find the derivative : a) arcsin(cos x) b) arccos ( cosx) Thx and the problem is that the answer varies depending on domain ???

Could we consider the conical container to be in the shape of a cone? and so use the cone volume to solve this?

Ok, if i had to guess and from reading the question, it seems apex up.

The question did not have an image to visualise the problem.... so im not sure.

Hey all, the question is : A conical container with base angle pie/3 is being filled with water at the rate of 5 litres/sec. if the base is r metres and the height is h metres, find the height at which the rate of change in depth of water in the container is 1.19 metres/sec. The trouble...

Thx, just another 2 quick questions which link:Is it possible to rationalize the right hand side ? And if a question has a denominator like Sinx-cosx or Sinx-1 , are they able to be rationalized ?

Thx, nice working out. One aspect I noticed in the solution was that in order to answer my question by working on one side is to work backwards e.g 1= sin^2x + cos^2x . I rarely get questions which expect you to do that ...

Hey all, For this question: sec(2A) + tan(2A)= cos(A) + sin(A) /cos(A) -sin(A), I'm just wondering if it is possible to obtain the answer without cross multiplying at one stage or another ? e.g only working on the left side . Thx for helping

Nice to know that they are the essentially the same and the reasoning behind it.

Your helping me heaps asianese , thx. However, just curious as to whether we could use the sum of a geometric series formula instead of the sum to infinity formula to get the same answer?

Hey again all, The question is : An infinite geometric series is such that the sum of all the terms after the nth term is equal to twice the nth term. Show that the sum to infinity of the whole series is three times the first term. Thx For helping