Recent content by bezgin

Why does the antiderivative give us the area? I can't really find it in textbooks.

Thank you very much indeed.

I have a serious problem with understanding the definition of limits. Prove that Lim(x->7) Sqrt(16-x)=3 I'd be grateful if you could explain why you do each step when you solve this question. Thanks.

Please reply! I have a midterm on saturday.

I meant to prove it by using the delta-epsilon relation. Substitution doesn't prove anything, of course. But I don't really understand HOW the delta-epsilon relation does.

Another question: If, say, Lim(x->a) f(x) = infinity (when you approach from both sides), we call the point x=a as a removable discontinuity. Why? How can we remove it? If the limit approached to a value such as c, then we could define the function to be f(a) = c Now, when it approaches...

I have a serious problem with understanding the definition of limits. Prove that Lim(x->7) Sqrt(16-x)=3 I'd be grateful if you could explain why you do each step when you solve this question. Thanks.

What I meant was, the vector (a,b,c) is always perpendicular to the plane ax+by+cz = d for any value of d. WHY?

Let n = (a,b,c) v = (x,y,z) Whatever the dot product of these vectors equal to, let's call d, the vector n is perpendicular to v. Again, I cannot stay calm and ask WHY? If we call n = (a,b); v= (x,y) ==> ax+by= d and the slope of this line is -a/b whereas the slope of the vector n is...

Let x + y + 3 z = 7 represent a plane. (it does) We find the closest point to origin in this plane by [d/[n]^2] * n. In this case n = (1,1,3); d = 7; [n]^2 = 1^2 + 1^2 + 3^2 = 11; then the vector that gives us the closest point is: (7/11, 7/11, 21/11) I don't understand WHY this operation...

I'd thought the static friction = kinetic friction. Why isn't that the case? Another thing, they say the static frictional force, in curved roads, "takes the place" of the centripetal force, meaning the static frictional force AND the normal force * sinx (x being the angle of the road's...

Why is the kinetic frictional force always less than the static? One other question, when a car moves along a curved road, the direction of the static frictional force is toward the center. But we were told, since the elemantary school, that the frictional force is always at the opposite...

I don't know anything about programming. Is it okay if I start with assembly? And more importantly, how can I begin to use assembly without any knowledge. If you could offer me a book / website, I'd really be pleased.

These replies make think, once again, what does it mean to be "close"? Can't we find a relation between epsilon and delta by doing the operations abs(x^2 + 2 - 2.999) < epsilon and abs(x-1) < delta? I'm really stuck with this issue for two weeks and think I will not understand the concept of...

How can we prove that the lim (x->1) x^2 + 2 is NOT equal to 2.999? (example I made up right now) At the end of each proof we find a relation between epsilon and delta. What does it mean?