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logistic_guy
replied to the thread
the equation (x + a)(x - a) = 16
.
👏👏 I loved how you cracked it Smith. You are absolutely from another planet. You can see things from a completely different angle! Are...
Sep 14, 2025
logistic_guy
reacted to
Agent Smith's post
in the thread
the equation (x + a)(x - a) = 16
with
Like
.
(1, 16), (2, 8), (4, 4) Also, x^2 - a^2 = 16 \implies x^2 = a^2 + 4^2 \implies 5^2 = 3^2 + 4^2 \implies x = 5, a = 3
Sep 14, 2025
logistic_guy
replied to the thread
line integral
.
One of the most beautiful topics after surface integrals is line integrals. We have to find the line integral: \int_C f(x,y) \ ds We...
Sep 14, 2025
logistic_guy
replied to the thread
puzzle
.
\bold{MUSIC \ GENRE} \rightarrow \textcolor{darkblue}{\bold{Rap}} \textcolor{purple}{\huge\bold{the \ solution \ so \ far}}
Sep 14, 2025
Agent Smith
replied to the thread
the equation (x + a)(x - a) = 16
.
(1, 16), (2, 8), (4, 4) Also, x^2 - a^2 = 16 \implies x^2 = a^2 + 4^2 \implies 5^2 = 3^2 + 4^2 \implies x = 5, a = 3
Sep 14, 2025
Dr.Peterson
replied to the thread
Anyone has truly understood the Tower of Hanoi problem's solution using recursion?
.
... and now you are the assistant who knows how to handle n disks, so you can help the next guy who needs to do n+1! (Or, since you now...
Sep 14, 2025
blamocur
replied to the thread
Anyone has truly understood the Tower of Hanoi problem's solution using recursion?
.
Recursion does take some getting used to, at least it did in my case when I was starting as a programmer. I did not watch the video...
Sep 14, 2025
F
fresh_42
replied to the thread
0.999... = 1
.
\displaystyle{L=\lim_{n \to \infty}\dfrac{1}{n}} is a number, and that number is L= 0. All elements 1/n are unequal to zero. And...
Sep 14, 2025
logistic_guy
replied to the thread
surface integral
.
So I have to find the slanted surface area of the cone. S_A = \iint_{S} |d\bold{S}| = \iint_{S} |\bold{n}| \ dS = \iint_{S} dS =...
Sep 14, 2025
Agent Smith
replied to the thread
0.999... = 1
.
0.999... is to be asked to compute a limit and the limit is 1. I don't quite get the part where 1/infinity is a.s. 0 but not 0. In my...
Sep 14, 2025
Agent Smith
reacted to
fresh_42's post
in the thread
0.999... = 1
with
Like
.
It is a definition insofar as a limit is defined. The LHS makes only sense as 0.999\ldots=\displaystyle{\sum_{k=1}^\infty...
Sep 14, 2025
logistic_guy
replied to the thread
banana
.
\int \sin^n x \ dx = \int \sin^{n-1} x \sin x \ dx u = \sin^{n-1} x du = (n - 1)\sin^{n-2} x\cos x \ dx dv = \sin x \ dx v = -\cos x...
Sep 13, 2025
logistic_guy
replied to the thread
orange
.
\int \cos^n x \ dx = \int \cos^{n-1}x \cos x \ dx u = \cos^{n-1}x du = -(n - 1)\cos^{n-2}x \sin x \ dx dv = \cos x \ dx v = \sin x...
Sep 13, 2025
logistic_guy
replied to the thread
area between two curves
.
Let us find the intersection points. 3 - x = x^2 - 9 x^2 - 9 - 3 + x = 0 x^2 + x - 12 = 0 (x + 4)(x - 3) = 0 x = 3 Or x = -4 Then...
Sep 13, 2025
logistic_guy
replied to the thread
easy but hard differential equation
.
The homogeneous solution is: u(t) = c_1e^{-t}\cos 3t + c_2e^{-t}\sin 3t
Sep 13, 2025
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