GingerAle

Sir Alan, your graph makes this come alive.

I do not know how to do double integrals (yet), but last year a second-year uni-mate asked me to forward this exact question to Lancelot Link.  This is his solution minus his snarky comments about how his monkey-barkeeper, Stu, could answer it.  (This is really true. I didn’t make that comment to troll Miss Melody or Sir Alan – even if it does seem like it. LOL)  

I made only minor changes to the Latex code so it will properly display on the forum.

\(\text {Using the given points, graph the triangle. Note that x lies from 1 to 4 inclusive, } \\ \text {and y lies from 1 to the line connecting the points (1,2); (4.1). }\\ \text {By inspection, this region is a type I. This gives the equation: }\\ \)\(y-2 = - \dfrac{1}{3}(x-1)\\ y= \dfrac{1}{3}x + \dfrac{7}{3}\\ Set \, D=(x, y)\, | 1\leq x\leq 4,\, 1\leq y\leq {\frac{-x}{3}+\frac{7}{3}}\\ V = \int_{1}^{4}\int_{1}^{\frac{-x}{3}+\frac{7}{3}} xy {\, } dydx = \int_{1}^{4}\, \left [\dfrac {xy^2}{2} \right ]_1^{\frac{-x}{3}+\frac{7}{3}}\, dx = \frac{1}{2} \int_{1}^{4}\, \left ( x \left ( -\dfrac{x}{3}+ \dfrac{7}{3}\right )^{2}-x \right )dx \\ = \dfrac{1}{18}\int_{1}^{4}\, \left (x^3 - 14x^2 +40x \right )dx = \dfrac{1}{18} \left [ \dfrac{x^4}{4}- \dfrac{14x^3}{3}+20x^2 \right ]_1^4 \\ = \dfrac{1}{18} \left (\dfrac{1}{4} (255)-\frac{14}{3}(63)+20(15) \right )\\ = \dfrac{31}{8} \)

Dear Blarney Banker,

Is it possible for you to compliment someone without slighting someone else, or slighting the complimented himself?  This is a rhetorical question. I don’t expect an answer. The answer is obvious, anyway: It’s “no.” 

Sir Alan didn’t use software to solve this. He used software (Texmaker) to compose and display the equations that he manually solved. He used Mathcad to test the solution. Sir CPhill also used software to compose and display his solution. His software is a web browser. Neither used software to SOLVE it. They both solved it “manually.” I know this is antithetical to your thought process, but it’s a fact.

Here are two recent examples of your fecal-based blarney:

If the ship is from the eastern part of Japan then the flag is flown normally as an icon for “Land of the Rising Sun.”

If the ship is from the western part of Japan then the flag is flown upside-down, because that where the sun sets. This implies the “Land of the Setting Sun.”

I thought you might like to know. 

There is no doubt that Heureka could create a computer program to find solutions for this math puzzle.

This would take hours to write. I took an introductory programming class, and know enough to say there is nothing simple about doing it. It’s not a simple iterative algorithm. It’s more complicated than a program to solve interest rate problems; you can do those on a spreadsheet.  

Anyway, I think it is unlikely Heureka spent the time to write a program to do this.  Here’s a solution not included in his list.

75 * 8 - (100 + 9) * (4 - 1) = 273

A computer program would have found this solution in a blink.

 The reason you think he did, is because you are the Blarney Banker who solves interest rate and finance problems by typing numbers in a computer. Any high-functioning baboon can do that. You never solve anything. You just present answers given to you by your computer. Even then you are often wrong. You can’t help it. You are not even a high-functioning baboon – you’re an unethical petty-minded banker, who was never made obsolete, because you never had any real functional purpose in the first place.

Heureka is a "Mozart" of mathematics. For him, these are variations on a theme of easy numbers -- an impromptu he could do while napping.  Maybe he did. Like HSC said, “. . . we slove (sic) our problems best in our sleep.”

 You should try hibernating for 20 years. Maybe it will help. Probably not, but you’d be known as Rip van Blarney Banker.

GA

More blarney from the unethical banker presented like the artless baboon he is.

 “In my book the correct answer is 60 goats after 40 new goats were added.”

Yeah, right!

So the reason the asker wrote 220 as his answer when he posted the question, is because, well, his school book was previously in the possession of a son of a banker, whose father accidentally cooked it along with the bank’s books. That was his downfall. It’s one thing to cook bankbooks, but damaging school property – it’s the “Big House” for you.    

Well, of course you think EP’s simple solution makes more sense. Like usual, you are wrong. Your arteries have hardened from a diet of blarney.  You are a simpleminded, artless, baboon, who can only find unneeded complexity in simple interest rate problems.    

 EP corrected his answer. His arteries work well.  His diet has a low portion of blarney.

 Just another opinion –I didn’t read too much into it, I’m sure. 

GA

Guest answerer #1 obviously knows nothing about chemistry. His answer is brain-dead blarney from Killarney.

Yes, there is a correlation of mV to ppm of ozone – and other oxidizers such as chlorine and bromine. The basis for this voltage comes from chemical redox (reduction–oxidation) reaction equations. There is a specific formula showing the logarithmic relation of ORP voltage to ppm of oxidizers including ozone at  (STP: 25C @ one bar). The formula was in a specification manual for an ORP tester.  I’ve not found it online (yet).

The formula is interesting, but the problem is there are many factors that affect the voltage reading a probe may give. The pH is most prominent, but excessive organic matter (fish poo) can alter the readings too.  The natural chemistry of your aquarium will also affect the baseline reading. The best practice is to use this reading in conjunction with a separate test for residual ozone.  Once you know what is normal then you can adjust from there. 

I have two aquariums and the “normal” ORP reading is 420mV for one and 445mV for the other. A separate ozone test for both aquariums indicates 0.8 ppm to 0.9 ppm ozone.  This means the ozone is there and has the “potential” to do its job. If the voltage drops then the filters need attention or the ozonator is not working. 

Interestingly, even with these readings, both of the aquariums grow a slight amount of algae on the glass. This doesn’t hurt the fish, but it needs wiped off every few days because it obscures the view. 

The small intestine is (n) and longer than the large intestine, if the large intestine is 5 feet, then n > 5 and  (n - 5 > 0). 

We genetically enhanced chimps keep our gut instincts sharp to solve both large and small intestinal problems. 

The guest is not a troll. He says he’s a banker, but really, he’s a mutant gnome. Most gnomes stand around giving the place an odd look.  This one talks though. When E.F. Gnome talks, people listen, but all they ever hear is blarney.   

Look here