general
Definition of tangent
What is the formal definition of a tangent to a curve? The only one I can find is that it is a straight line drawn between two infinitely close points on ...
Apr 16, 2026
Archive: General
general
Probability for rolling three or four 20-sided dice (d20)
Each 20-sided die in this case has equal chance to land on any whole-number value 1-20. I understand that if I aimed for at least one 20 from a roll of tw...
Apr 16, 2026
general
Calculating frequency of a motion
I have the question A piston in a car engine executes simple harmonic motion. The acceleration $a$ of the piston is related to its displacement $X$ by: $$...
Apr 16, 2026
general
Integral solutions of linear equation
How does one find the number of integral solutions of equations like, $2x + 5y + 4z = 20$ I know how to do this counting if the coefficient of every varia...
Apr 16, 2026
general
Domain Definition in Scaled Function
Suppose the function $f(x)$ is defined on the domain $\{x_1,x_2,x_3\}$, so that the graph of $y=f(x)$ consists of just three points. Suppose those three p...
Apr 16, 2026
![What is set of measure zero? [closed]](https://news.conceivablytech.com/uploads/what-is-set-of-measure-zero-closed_720.jpg)
general
What is set of measure zero? [closed]
What is the concept of set of measure zero? Please explain it in a easy language. Thank you.
Apr 16, 2026
general
How to find Error Bounds of Trapezoidal Rule?
I stack about Error Bounds of Trapezoidal Rule. The question says How large should $n$ be to guarantee the Trapezoidal Rule approximation for $\int_{0}^{\...
Apr 16, 2026
general
Prove that the closed unit ball is closed directly.
I'm trying to prove the following theorem, and I'm not sure my proof holds. Theorem. Let $(X,d)$ be a metric space, $p\in X$, and $r >0$. The...
Apr 16, 2026
general
Prove that $\gcd(M, N)\times \mbox{lcm}(M, N) = M \times N$.
I'm not sure how to go about this proof. I just need help getting started. Is there a way to prove it algebraically?
Apr 16, 2026
general
Critical point of a Fraction
In a problem like, Find the critical point of $$f(x)= \frac{5x}{x-3}$$ What happens to the $5x$ in the numerator? I see that my book has the answer as 3. ...
Apr 16, 2026
