Finding point of intersection where k is a non zero constant
I am struggling to solve this question: The curve $C$ has the equation $$ k x^2 - xy + (k+1)x=1. $$ The line $l$ has the equation $$ -(k/2)x + y = 1. $$ H...
Apr 20, 2026 1 VIEWS
Topic: General
5104 Articles 
The correspondence theorem for groups
I had studied group theory a year ago, but still could not understand the proof involving The Correspondence theorem. let $G$ be a group and let $N⊴G$, wh...
Apr 20, 2026 1 VIEWS
Solving a set of recurrence relations
I have the 7 following reccurence relations: $A_n = B_{n-1} + C_{n-1}$ $B_n = A_n + C_{n-1}$ $C_n = B_n + C_{n-1}$ $D_n = E_{n-1} + G_{n-1}$ $E_n = D_n + ...
Apr 20, 2026 1 VIEWS
Proof Regarding the Algebraic Limit Theorem
Without using the property of the Algebraic Limit Theorem that states, $\lim\limits_{n \to \infty} a_n*b_n = ab$, Prove directly that $\frac{a_n}{b_n} \ri...
Apr 20, 2026 1 VIEWS
Relation between slant edge and height of a pyramid with an equlateral triangle as its base
Consider a pyramid with an equilateral triangle as its base. Suppose each side of the base is $a$ and each slant edge is $s$. How to find the height, $h$....
Apr 20, 2026 1 VIEWS
Numerical derivative of compoiste function
sorry for the very basic question. I am writing a Fortran program in which I have a quite complicated function in a non-linear system of equations and I n...
Apr 20, 2026 1 VIEWS
Distribution Axiom of Modal Logic
Is it possible to prove the distribution axiom of modal logic? I have proven all the conclusions of propositional modal logic using this axiom, the defini...
Apr 20, 2026 1 VIEWS
Most important things to be proficient in before Calculus 1?
What are the main things one should be proficient in before taking Calculus 1? Please be specific.
Apr 20, 2026 1 VIEWS
Questions tagged [golden-ratio]
Q&A for people studying math at any level and professionals in related fields
Apr 20, 2026 1 VIEWS
Calculate logarithms by hand
I'm thinking of making a table of logarithms ranging from 100-999 with 5 significant digits. By pen and paper that is. I'm doing this old school...
Apr 20, 2026 1 VIEWS
Function of at most polynomial growth and its derivative
I consider a function $f:\mathbb{R}^{+} \rightarrow \mathbb{R}$ which is continuous and differentiable. I know moreover that both $f$ and $f'$ are of...
Apr 20, 2026 1 VIEWS
How to determine the step size using Euler's Method?
Consider the initial value problem $x' = x+e^{-x}$ , $x(0)= 0$. This problem can’t be solved analytically. Using the Euler method, compute $x$ at $t ...
Apr 20, 2026 1 VIEWS