I have read Spivak's Calculus up to chapter 5, which is on Limits. Up until this point, the majority has been very straightforward and easy to understand.
However, I am having trouble grasping the concept of limits in the style/method that Spivak describes them. Can anyone elaborate in a more...
I have the equation:
x = 2*L*sin(θ/2) and in my lecture notes they have converted it to: ϑx = L*cos(θ/2)*ϑθ
Is it correct to do the following to get this answer?
x = 2*L*sin(θ/2)
x = 2*L*sin(θ/2)*(ϑ(θ/2)/ϑx)
x*ϑx = 2*L*sin(θ/2)*ϑ(θ/2)
1*ϑx = (1/2)*2*L*cos(θ/2)*ϑθ
ϑx = L*cos(θ/2)*ϑθ
Wow that's a very smart idea haha. Um, it was just finding out the way to calculate the area of the region D. Is there anyway mathmatically?
My thoughts are to take away the area of C1 from a-b from the area of C3 from a-b with integration.
This is not homework, i stumbled upon it looking for information for my physics.. I have some background in calculus and am just wondering if anyone would have any idea on how you'd solve this area problem.. all i have is a picture of it and not any equations of the lines.