Absolute Value Inequality Domain Restrictions?
I'm almost embarrassed to post this elementary question, but I beg your indulgence. For the inequality $$-3 \left| x-4 \right| +2 > 6 + 2x$$ a gra...
Published: Sep 05, 2026
How does one calculate the area of a rectangle using a single integral?
I tried to ask this in a different way and did not correctly explain myself. I am ok integrating the line $y = x$ , let us say from $0$ to $2$ using calcu...
Published: Sep 05, 2026
Function for converting mph to min/mile
anyone have a good function for converting mph to min/mile. I can see that graph starting at say 60min/mile for 1 mpg decreases by half for every doubling...
Published: Sep 05, 2026
What does this limit statement say in plain english?
Let $ f(x) = x^2$ What is $\displaystyle\lim_{x \to 1}f(3)$ What is this statement saying in plain english? Is it "What is $f(3)$ approaching as $x$ appro...
Published: Sep 05, 2026
The expectation of the half-normal distribution
For the density function below, I need to find $E(X)$ and $E(X^2)$. For $E(X)$, I did the following steps and got the answer of $-2/\sqrt{2\pi}$. However,...
Published: Sep 05, 2026
system of equations calculator
I have a problem that is very simple in concept but very difficult to actually solve. I need to find the best fit polynomial of degree at most 4 for f(x)=...
Published: Sep 05, 2026
Propositional logic: Proving contingency without truthtable
How can one proof that a proposition is a contingency? With a truth table it is easy (show that there is at least 1 true and 1 false outcome). But with re...
Published: Sep 05, 2026
What are the required backgrounds of Robin Hartshorne's Algebraic Geometry book?
It seems that Robin Hartshorne's Algebraic Geometry is the place where a whole generation of fresh minds have successfully learned about the modern A...
Published: Sep 05, 2026
Simple way to evaluate the double integration of sqrt(x^2 + y^2 + 1) limits x=0 to 1, y=0 to 1
To evaluate the integral, I performed the integration with respect to x and put the limits of x. I got this result: $$\sqrt{y^2 + 2}/2 + (y^2 + 1) \ln(1+ ...
Published: Sep 05, 2026
Are rectangles are trapezium
Rectangle by definition given as the quadrilateral in which opposite sides are equal and each angle is equal to 90 degree Where as in case of trapezium an...
Published: Sep 05, 2026
