news
how to solve for a continuous function?
I am having a midterm review in school and there's one concept that I forgot how to solve, and that is solving for continuous functions? More precise...
Apr 12, 2026
Archive: News
![Area between $y= \cos x$ and $y=\sin 2x$ on $[0,\pi/2]$](https://news.conceivablytech.com/uploads/area-between-y-cos-x-and-y-sin-2x-on-0-pi-2_720.jpg)
news
Area between $y= \cos x$ and $y=\sin 2x$ on $[0,\pi/2]$
I have no idea how to do this one, they intercept at some random point that I can not calculate. $y= \cos x$, $y=\sin 2x$, $x= 0$ and $x= \pi/2$ I know th...
Apr 12, 2026
news
Scalar versus linear equation of a plane
What is the difference between a scalar and a linear equation of a plane? In my textbook it says that a scalar equation is $a(x-x_1)+b(y-y_1)+c(z-z_1)=0$ ...
Apr 12, 2026
news
Does the Law of Sines and the Law of Cosines apply to all triangles?
Do the Law of Sines and the Law of Cosines apply to all triangles? Particularly, could you use these laws on right triangles? That is, could you use these...
Apr 12, 2026
news
Finding Minimum Spanning Tree in O(n+m) time
I am now learning about MST and algorithms for finding it, like Prim's, Kruskal's and etc. However, what if we have a connected, undirected simp...
Apr 12, 2026
news
Area of a circle inside a quarter circle
I'm trying to figure out a couple things. The main question I have is how to find the area of a circle inscribed inside a quarter circle with a radiu...
Apr 12, 2026
news
How does accuracy of a survey depend on sample size and population size?
Which survey is more accurate? Assume the samples are taken perfectly randomly. A sample of 100 people out of a population of 1000 (sample is 10% of popul...
Apr 12, 2026
news
How to properly find the average percentage of a sum of percentages
I’m working with a feature that was broken in several parts, and now my manager wants to know how much is left in each piece and the average percentage as...
Apr 12, 2026
news
How to calculate n if we have r and nPr? (permutations)
There is this practice problem "How many students are in a class if we can pick 3 delegates in 6545 ways?" I've tried solving this by using the permu...
Apr 12, 2026
news
Multivariable derivative: Limit definition
Consider a path through a domain in $\mathbb{R}^2$ given by $\mathbf{c}(t) = (x(t), y(t))$. We wish to find the rate of change of a function $f(x,y)$ alon...
Apr 12, 2026
