Recent content by matts0

  1. M

    Correctness of the antecedent rule in sequent calculus

    OK. Thanks a lot. But it is still a little hard for me to understand that. Is there any actual case for that?
  2. M

    Correctness of the antecedent rule in sequent calculus

    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...
  3. M

    Why Isn't the Cylinder Slice Method Used for Surface Area of Revolution?

    Thanks for the help. Actually my question is the same with the one in this post i just found https://www.physicsforums.com/showthread.php?t=429730
  4. M

    Why Isn't the Cylinder Slice Method Used for Surface Area of Revolution?

    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...
  5. M

    Quick question on integral calculation

    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...
  6. M

    Understanding Limits at Infinity and Non-Existence of Derivatives

    Thank you.I should have done more exercises. and also thanks for introducing WolframAlpha to me. That's really helpful.
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    Understanding Limits at Infinity and Non-Existence of Derivatives

    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.
  8. M

    Understanding Limits at Infinity and Non-Existence of Derivatives

    Actually I confused "tangent" with "asymptote"... Thanks for the help from both of you.
  9. M

    Understanding Limits at Infinity and Non-Existence of Derivatives

    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...
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