Definition for monotonicity of multivariate function
Is there any standard definition for monotonicity of a multivariate function? I suppose it's something like: $\forall i: x_i \leq x_i' \implies ...
18 Apr 2026 1 READS
Archive: General
FInd value of the test statistic with given survey data
"A survey was undertaken by Bruskin/Goldring Research for Quicken to determine how people plan to meet their financial goals in the next year. Respon...
18 Apr 2026 1 READS
Simplifying $\sqrt{1+\cos^2(x)}$ for various values of x
I'm being asked to find the arc length of $y=\sin( x)$ for $[0, \frac{\pi}{2}]$ using $M_8$. I've determined that $y\prime^2=\cos^2x$. So, using...
18 Apr 2026 1 READS
Inverse Laplace with formula table
In my book I have to do the inverse Laplace transform of: $$\displaystyle \frac{4 + 15 s}{s(2+5s)} = \frac{15}{5} \frac{\left(s + \frac{4}{15}\right)}{s\l...
18 Apr 2026 1 READS
Notation for time interval
I'm trying to write the following using sensible notation: In the time period between now and M units ago, if n > 0 output 1, if n = 0 output 0. W...
18 Apr 2026 1 READS
![Is the derivative of the velocity with respect to time give us the sum of the forces? [closed]](https://edu.smbbmcl.edu.pk/uploads/is-the-derivative-of-the-velocity-with-respect-to-time-give-us-the-sum-of-the-forces-closed_720.jpg)
Is the derivative of the velocity with respect to time give us the sum of the forces? [closed]
is the derivative of the velocity with respect to time give us the sum of the forces, when the forces as function of the distance? I know the Acceleration...
18 Apr 2026 1 READS
Why does $\sin(90 + x) = \cos(x)$ and $\sin(90 - x) = \cos(x)$?
Why are both statements below true in regards of a trigonometric circumference? $\sin(90 + x) = \cos(x)$ $\sin(90 - x) = \cos(x)$
18 Apr 2026 1 READS
The staircase paradox, or why $\pi\ne4$
What is wrong with this proof? Is $\pi=4?$
18 Apr 2026 1 READS
Ice cream combinatorics question
An ice cream shop sells ice creams in $5$ possible flavours: vanilla, chocolate, strawberry, mango and pineapple. How many combinations of $3$ scoops cone...
18 Apr 2026 1 READS
How do you solve a system of quadratic equations?
I was watching a video where a problem in Galois theory was posed such that it became necessary to tell if a certain element was a perfect square in a fin...
18 Apr 2026 1 READS
