Homework Statement
A mass is suspended from the ceiling on a spring. It is pulled down to point P and then released. It oscillates up and down. Its distance, s cm, from the ceiling, is modeled by the function s=48 + 10cos(\Pit) where t is the time in seconds from release.
(a)What is...
Homework Statement
The point P (1/2, 0) lies on the graph of the curve of y=sin(2x-1) Find the gradient of the tangent to the curve of P
Homework Equations
...I don't know
The Attempt at a Solution
I don't know where to start with this problem
I'm going to need more help with part b.
I took the derivative of C(x) which is C'(x) = 5 + .004x + .00039x^2
I set it to zero and then I factored it but I got unreal numbers, negatives under the square root sign.
So, I did it the way the book instructed and I set C'(x)=c(x) and this is...
1. C(x)=2200 + 5x + 0.002x^2 + 0.00013x^3
(a) Find the average cost function and sketch it
(b.) At what production level is the average cost minimized?
Homework Equations
My book defines the average cost as c(x)=C(x)/x
And the average cost is minimized when C'(x) = c(x)
The Attempt at a...