jsaddern

10 Questions
11 Answers

+1

326

1

+72

Wonderful geometry visualization and proof - hemispheres!

Hey!

I hope you are having a great day!
read more ..

jsaddern Mar 25, 2022

+1

346

3

+72

How does this turn into... Harmonic Numbers?!

Define the following statistic as follows:
:

Start at . Go back from until you get to the nearest element of the list smaller than it. Suppose that the first element smaller than it is . read more ..

jsaddern Mar 14, 2022

0

357

2

+72

Cool elegant problem that combines many concepts!

Hello!

Show that for all perfect squares such that we can express:
read more ..

jsaddern Mar 13, 2022

+1

382

8

+72

Simple proof about squares!

Prove that:
is never a perfect square. (Where are positive integers between and .)

I can't seem to develop an argument using prime factorizations... I wonder what approach you'll use? read more ..

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jsaddern Mar 12, 2022

+1

353

3

+72

Subsets of a sphere - interpreting a research paper

Suppose that we choose diameters in a sphere. Each diameter intersects the sphere's surface at points, defining two hemispheres (one centered at each point.)
Now, a research paper I found (linked here: https://www.mathpages.com/home/kmath327/kmath327.htm) read more ..

jsaddern Dec 27, 2021

0

424

5

+72

Computing integral unbounded on both sides!

Hello,

Given that is a function that satisfies , for all possible values of , compute the doubly unbounded integral:
read more ..

Alan ●●●●●

jsaddern Dec 26, 2021

0

391

9

+72

Solving for f'(0) given derivative conditions

Let the function be continuous and real valued, and satisfy the following conditions:
1. ,
2.
3. read more ..

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jsaddern Dec 24, 2021

0

356

1

+72

Interesting calculus-geometry problem

The base of a solid is the area between the parabolas and . Calculate hte volume of the solid given that the cross sections perpendicular to the -axis are equilateral triangles!

Thank you.

jsaddern Dec 24, 2021

0

437

7

+72

Find the function f(x) that satisfies...

Find the function that satisfies:
,
for all
read more ..

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jsaddern Dec 24, 2021

+1

365

4

+72

Area under projectile's curve

Here is a problem from lecture notes:
Projectile is fired with initial velocity v from the ground, at an angle of theta. Its trajectory is parameterized:
x = vt cos theta
y = vt sin theta - 1/2 gt^2 read more ..

jsaddern Dec 24, 2021

+72

+1

Have responded. As I said, I will work on characterizing all numbers that serve as counter-examples.

I'm curious to know an approach to this post too.

jsaddern

jsaddernMar 14, 2022