general
Second derivative of function of two variables
I'm having problemes using the chain rule in the 2-variables case. I know that the first derivative of a function $f=f\left(t,u(t)\right)$ is $$\frac...
Apr 10, 2026
Archive: General
general
Finding the general term of a sequence
I would like to find an expression for the sequence $\;\{a_n\},\;n=0,\,1,\,2,\,3,\,\dots,\;$ $$-\frac{1}{6},\,\frac{2}{7},\,\frac{5}{8},\,\frac{8}{9},\,\f...
Apr 10, 2026
general
Understanding Epsilon-Delta Proof
I'm trying to understand the proof of the following limit using epsilon-delta definition. $$\lim _{x\to3} x^2 = 9$$ In Stewart Calculus, the proof go...
Apr 10, 2026
![Elementary solution to $ \int \frac{1}{x^5+1} \, dx $ [duplicate]](https://news.conceivablytech.com/uploads/elementary-solution-to-int-frac-1-x-5-1-dx-duplicate_720.jpg)
general
Elementary solution to $ \int \frac{1}{x^5+1} \, dx $ [duplicate]
Since the original question is heavily downvoted, I'm not sure if the moderators will delete it before I can post my answer. Here's my attempt: ...
Apr 10, 2026
general
User Dianbin Bao - Mathematics Stack Exchange
Q&A for people studying math at any level and professionals in related fields
Apr 10, 2026
general
solving population size with exponential functions?
Problem: A species of fish was added to a lake. The population size ($P(t)$) of this species can be modeled by the following function, where t is the numb...
Apr 10, 2026
general
Understanding this proof of the reflection principle
I was reading the Wikipedia article about the reflection principle for Wiener processes, which can be written as : Lemma (Reflection Principle) : If $(W(t...
Apr 10, 2026
general
How to determine the direction of one point from another, given their coordinates?
If I have the coordinates of two points, how would I determine what direction the second point lies in, relative to the first point? Specifically, I'...
Apr 10, 2026
general
Calculus books recommendation (intermediate level)
I would like to ask for some intermediate level textbook for calculus (single variable), or, at least, some supplement to Spivak's Calculus for bette...
Apr 10, 2026
general
Probability of student getting 100 in a test given some conditions
A student which knows nothing, went to a test includes 6 questions with answers 'yes' or 'no' only. Find the probability that: a.The s...
Apr 10, 2026
