convergence of the series involving log function
I was asked about convergence of summation of $\log(n)/n^2$ and $\log(1+(1/n))/n^2$. I want to use only p series test. Is there any approximation for $\lo...
Published: Sep 06, 2026
Understanding a limiting procedure
Say I have a function $f(x,y)$ that is defined for all $x \leq 0$ except at a single point $x=x_0 \neq 0.$ There exists one representation of the function...
Published: Sep 06, 2026
Calculating deposit based on interest and required withdrawal in future
I am really stuck with example 2-5 and 2-6. I don't really understand example 2-6 and example 2-5 I just can't figure out...I was able to do exa...
Published: Sep 06, 2026
Two different notations for inner product
In my linear algebra course on the faculty of mathematics, we used the following notation for the inner product: $$\langle v, w \rangle$$ On the other han...
Published: Sep 06, 2026
Give a big-O estimate for a function f(x), use a simple function g of the smallest order.
Task Find a function $g(x)$ that is Big-O of $f(x)$ $f(x)$ is $\mathcal{O}(g(x))$ $f(x)=n\cdot log(n^2+1)+n^2\cdot log(n)$ I tried to follow/copy one of t...
Published: Sep 06, 2026
solve surface integral of a scalar function using divergence theorem
Use the Divergence Theorem to evaluate: $$\iint_S (2x+2y+z^2) dS$$ where $S$ is the sphere $$x^2+y^2+z^2=1.$$ Most of the examples on the book that needs ...
Published: Sep 06, 2026
How can i find the basis solutions of homogeneous linear ODE?
Second order linear differential equation is given below. $y''+\frac{2}{x}y'+k^2y=0,$ where $k$ is constant and $x\neq 0$ I already know th...
Published: Sep 06, 2026
Laplace Transform for Solving Differential Equation
I solved the following task, but since I am new in this field I need to check if it is correct or if there is anything I am missing or doing wrong. Task :...
Published: Sep 06, 2026
User Allen Knutson - Mathematics Stack Exchange
Q&A for people studying math at any level and professionals in related fields
Published: Sep 06, 2026
Finding value of k for which fg(x)=k has equal roots?
I've been going through this community and I Find this really helpful. About me(I know I should be precise but ya), I'm just a highschool studen...
Published: Sep 06, 2026
