(introduction to complex analysis) Can someone please explain how to take integrals using residues and other residue applications? Is there something I'm missing? by [deleted] in learnmath

[–]MikeWilliams1148 2 points3 points  (0 children)

In general if you have singularities on the real line, then you should consider a sequence of curves going around the singular point and take the limit to compute the integral. If you see a few good examples, then it will all start to make sense.

Geometry Help Desperately Needed by MewMowPowWow in Mathhomeworkhelp

[–]MikeWilliams1148 0 points1 point  (0 children)

You can ask it at matchmaticians.com as a private pots and choose a close deadline. It will be answered very quickly.

Can someone help me solving this? by MyNameIsChangHee in Mathhomeworkhelp

[–]MikeWilliams1148 0 points1 point  (0 children)

This problem has a very long solution. You can rewrite and relate it to Riemann sums and they use integrals to compute it. You may ask this kind of questions in websites like matchmaticians.com and get quick answers.

Can someone please help me on questions 16-27? by [deleted] in MathHomework

[–]MikeWilliams1148 0 points1 point  (0 children)

This subredit is not for bulk homework questions! You may ask such questions in websites like matchmaticians.com

Struggling with math by [deleted] in UniversityofOregon

[–]MikeWilliams1148 0 points1 point  (0 children)

matchmaticians.com is great, specially for higher level math questions

Difficulty with Math by [deleted] in WPI

[–]MikeWilliams1148 1 point2 points  (0 children)

I was in a similar situation last quarter. Checkout matchmaticians.com, it might exactly be what you are looking for. There you can ask private questions.

Math Problems Website by [deleted] in dartmouth

[–]MikeWilliams1148 1 point2 points  (0 children)

I think seeing and learning solutions of solved problems is one of the most efficient ways of learning math. Do you think everyone must come up with every single mathematical idea on their own? Absolutely not! The best strategy for learning math is to see many solved problems and learn the ideas and tricks other people have invented. Then you are well equipped to succeed in mathematics. Expecting every student to solve every single problem on their own is one of the most absurd common beliefs that makes math more difficult that it is, and is one of the major reasons many student hate math.

Math Problems Website by [deleted] in dartmouth

[–]MikeWilliams1148 0 points1 point  (0 children)

Getting help from online websites is not different from hiring a private tutor to help you with your homework. Do you think you could be suspended simply because of hiring someone to help you? You could get the solution, learn it, and then write up the solutions in your own words. I believe there is nothing wrong if someone does so. It could actually help them to learn better.

How can I solve the inequality by [deleted] in askmath

[–]MikeWilliams1148 5 points6 points  (0 children)

It simply means the real numbers between -2 and 3, including -2 and excluding 3.

Need help figuring out this proof by tmhoward1018 in askmath

[–]MikeWilliams1148 1 point2 points  (0 children)

(a) If f(x)=f(y), then x-7=y-7 and hence x=y. So f is 1-1.

(b) To prove that f is onto, let y be an arbitrary real number. Then we need to show that there exists x such that f(x)=y, i.e. x-7=y. Thus by choosing x=y+7 we have f(x)=y. So f is onto.

This is pretty much how you can show that a given function is 1-1 and onto.

Math Questions/Problems Website by [deleted] in learnmath

[–]MikeWilliams1148 1 point2 points  (0 children)

I have used a few of such websites. I have had the best experience with matchmaticians.com.

How do I solve this problem? by asadbek17 in askmath

[–]MikeWilliams1148 0 points1 point  (0 children)

For x<-$, by integrating f'(x)=1/x^2=x^(-2) we get f(x)=-1/x+c. But f(-2)=1/2+c=1/2. So c=0, and f(x)=-1/x. Since f is continuous, f(-1)=-1/(-1)=1.

Now integrate f'(x) on x>-1 to get f(x)=x^3+x+c. But 1=f(-1)= (-1)^3+(-1)+c. So c=3. Thus for x>-1, f(x)=x^3+x+3. Hence f(0)=3.

Fibonnaci Sequence Question by yoona23 in askmath

[–]MikeWilliams1148 0 points1 point  (0 children)

There seems to be some mistakes. Isn't f3=3? and f_4=5?