Hi. I have a question on the correctness of the antecedent rule in sequent calculus when I read the book "mathematical logic" written by H.-D. Ebbinghaus etc.
The rule says:
\frac{\Gamma \phi}{\Gamma^' \phi} if every member of Γ is also a member of Γ' ( Γ⊂ Γ' ,where Γ and Γ' are formula sets and...
Hello. I just started to study integral calculus not long ago and I have some confusion when it comes to calculating the areas of surfaces of revolution using integral.
As from my testbook, when we want to calculate this kind of surface area, we often use the frustum surface area to approximate...
Homework Statement
Hello, I have a question from my textbook on integral calculation. It's
Find f(pi/2) from the following information.
(i) f is positive and continuous.
(ii) the area under the curve y=f(x) from x=0 to x=a is a2+(a/2)*sin(a)+(π/2 )*cosa
So I think the second condition implies...
I came up with this :
f(x)=2+sin(x3)/x
so f'(x) = sin(x3)/x2-3cos(x3) and it is not stable at infinity because of cos(x3),right?
Please tell me if it is ok or not. Thank you.
Homework Statement
Hello everyone, I am just new to this forum and also a beginner at calculus.
I have a question from my textbook. It's:
Find an example of f(x) that satisfies the following conditions :
f(x) is differentiable for all x>0;
limx->∞f(x) =2;
limx->∞f'(x) does not exist...