Recent content by jasper10

A firm has the following total-cost and demand functions: C = aQ^3 - bQ^2 + cQ + d Q = e - P (d) Find optimizing level of Q. (e) Chooses a,b,c,d and e such that there is only one profit-maximizing level of output Q. I found 2 solutions for question d, but in a very long and messy...

Homework Statement A film is defective either when the level of sensitivity is wrong (defect D1) or when the colours are faulty (defect D2). 2% of all films made have at least one of these two defects. 1% of all films have defect D1 and 0.2% of all films have both defect D1 and D2. Are...

Ok! thanks, i kind of get it now!

How does one find the place where cosine is equal to -1/2? and as you said, the solution is in the third quadrant and the first solution (Pi/6) is in the first.

How do you know this?

Yes, my question ultimately is How does one determine these other places where cos(y) = -1/2 ?

Ok Char. Limit, I edited my answer and showed the transition step. What do you mean by "the sum of angles formula" ?

Homework Statement Find the zeroes of f(x) = 1 + 2cos(2x+ π/3) Range: (0 ; π) The Attempt at a Solution 1 + 2cos(2x + π/3) = 0 hence, cos(2x + π/3) = -1/2 hence, 2x + π/3 = 2π/3 and, x = π/6 which is 30 degrees can someone help me find the other 0 ? I don't know how to...

Ok, thanks Mark44 and tiny-tim!

European baccalaureate..why? :D

I don't know, nothing seems to work I'm off to bed now, maybe tomorrow i can think more clearly.

Integration by substitution surely cannot work! it's a vicious circle and keeps getting more complicated whilst integrating

Ok so i get: ∫4x / (x^2 + 1) dx - ∫3/ (x^2 + 1) dx = 2ln(x^2 + 1) - ? How would you integrate: 3 / (x^2 + 1)? the annoying part is the "x^2" thanks! ps: what do you mean by "trig" substitution? (I have a feeling this type of question isn't on the syllabus, but i found it on a past back...

Homework Statement Can someone help me integrate (4x - 3) / (x^2 +1) ? The Attempt at a Solution I'm doing my maths baccalaureate in 2 days and came across this question today! I don't know where to start i.e. which method to use: Integration by parts definitely does not work...

What else would be the characteristics of the classical theory? do you know any simple website? wikipedia is far too complicated and redundant.