Any promises, made more than 10 feet from the bed, or 10 minutes from the event, are often null and void when coupon is presented for redemption.
and a movie night with the terrorists and their sister.
It's good to be grandpa.
It is. Then I get woke up about 10 minutes ago by a couple of terrorists climbing into my bed and the 11 year old telling me the air mattress is flat. Ugh
Ah, not your first rodeo, I see.
4 AM'ish, that's rough.
So, there I was . . . I had been struggling with the same problem for a few hours. I was evaluating the integral of cosh(x)/(4-sinh^2(x)) dx from ln5 to ln6. I did a u substitution for sinh(x), which left me with the integral of 1/(4 - u^2) du (with limits of integration adjusted to 12/5 to 35/12).
I sat and looked at that for a while. You won't find that form in most tables of common integrals. So finally I opened the study plan for MyMathLab and when you do that, you can see a similar problem and usually see an example. I was correct to where I got stuck and then I saw in the example that the solution included some obnoxiously obscure trig identities. I applied that to my version of the problem and eventually got to the correct answer: -(1/4)ln(121/59).
Success!
Then, as is my way, I was able to snatch defeat from the jaws of victory. I opened the "similar problem" to see what it looked like, but then shifted gears and did something else for a while. When I came back, MyMathLab had timed-out. Since I had not saved the first attempt, the system reverted to the unanswered "similar problem," for which I had a zero.
ARGH!
Then I had to do it over again with the new version. On the bright side, I knew the "tricks," so I got to the end fairly rapidly. When I input the final answer and started to relax, the screen showed that my answer wrong!
CRAP!
I went through my work backward, from the final answer to the start. My method of solution was correct and I did not make any algebra mistakes.
And then . . . I saw it. The upper limit of integration I had written on my paper was ln9. The actual limit was . . . ln11.
I worked through the last half with the correct limits of integration and on the final check . . . the point of no return . . . my answer was finally correct.
And then I made sure to SAVE.
And print a copy of the screen showing my 100%.
You can't be too careful.
DETAILS MATTER.
So, there I was . . . I had been struggling with the same problem for a few hours. I was evaluating the integral of cosh(x)/(4-sinh^2(x)) dx from ln5 to ln6. I did a u substitution for sinh(x), which left me with the integral of 1/(4 - u^2) du (with limits of integration adjusted to 12/5 to 35/12).
I sat and looked at that for a while. You won't find that form in most tables of common integrals. So finally I opened the study plan for MyMathLab and when you do that, you can see a similar problem and usually see an example. I was correct to where I got stuck and then I saw in the example that the solution included some obnoxiously obscure trig identities. I applied that to my version of the problem and eventually got to the correct answer: -(1/4)ln(121/59).
Success!
Then, as is my way, I was able to snatch defeat from the jaws of victory. I opened the "similar problem" to see what it looked like, but then shifted gears and did something else for a while. When I came back, MyMathLab had timed-out. Since I had not saved the first attempt, the system reverted to the unanswered "similar problem," for which I had a zero.
ARGH!
Then I had to do it over again with the new version. On the bright side, I knew the "tricks," so I got to the end fairly rapidly. When I input the final answer and started to relax, the screen showed that my answer wrong!
CRAP!
I went through my work backward, from the final answer to the start. My method of solution was correct and I did not make any algebra mistakes.
And then . . . I saw it. The upper limit of integration I had written on my paper was ln9. The actual limit was . . . ln11.
I worked through the last half with the correct limits of integration and on the final check . . . the point of no return . . . my answer was finally correct.
And then I made sure to SAVE.
And print a copy of the screen showing my 100%.
You can't be too careful.
DETAILS MATTER.
Remember Rhino... Jesus saves... and so should you!
Jesus and Satan have an argument as to who is the better programmer. This goes on for a few hours until they agree to hold a contest with God as the judge.
They set themselves before their computers and begin. They type furiously for several hours, lines of code streaming up the screen.
Seconds before the end, a bolt of lightning struck taking out the electricity. Moments later, the power is restored, and God announces that the contest is over. He asks Satan to show what he has come up with.
Satan is visibly upset, and cries, "I have nothing! I lost it all when the power went out."
"Very well, then," says God, "let us see if Jesus fared any better."
Jesus enters a command, and the screen comes to life in vivid display, the voices of an angelic choir pour forth from the speakers.
Satan is astonished. He stutters, "But how?! I lost everything, yet
Jesus' program is intact! How did he do it?!"
God chuckles, "Jesus saves."
This has brought some things to light...
Remember Rhino... Jesus saves... and so should you!
Jesus and Satan have an argument as to who is the better programmer. This goes on for a few hours until they agree to hold a contest with God as the judge.
They set themselves before their computers and begin. They type furiously for several hours, lines of code streaming up the screen.
Seconds before the end, a bolt of lightning struck taking out the electricity. Moments later, the power is restored, and God announces that the contest is over. He asks Satan to show what he has come up with.
Satan is visibly upset, and cries, "I have nothing! I lost it all when the power went out."
"Very well, then," says God, "let us see if Jesus fared any better."
Jesus enters a command, and the screen comes to life in vivid display, the voices of an angelic choir pour forth from the speakers.
Satan is astonished. He stutters, "But how?! I lost everything, yet
Jesus' program is intact! How did he do it?!"
God chuckles, "Jesus saves."
UFC chick fight on FX
Saturday night. We busted butt today on a furnace A/C install. Got wet. Tired
Just tucked the spouse in and I am sitting here pecking away at the keyboard.
UFC chick fight on FX