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...
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.
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 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...