<p>What happens when the smog clears up?</p>
<p>You can see the mountains…duh</p>
<p>noooooo</p>
<p>U…C…LA! </p>
<p>haha</p>
<p>hahaha nice</p>
<p>that joke is soo old</p>
<p>but it never disappoints</p>
<p>im just having some fun, even if its old… i heard it today! so thought i’d share it =P (im supposed to be studyin calc!!)</p>
<p>wanna try another one? what the heeck…</p>
<p>johnny and his dad are in a car crash, and the car is totalled, so johnny goes to the hospital with his dad, and the doctor says to him, “SON!!” how is this possible?</p>
<p>lol… an oldie</p>
<p>its his mom</p>
<p>am i the only one hearing these for the first time?</p>
<p>Two nuns, a penguin, a man with a parrot on his shoulder and a giraffe walk into a bar. The bartender says, “What is this? Some kind of joke?”</p>
<p>ahaha its ok pep, i’ve never heard the ucla one :)</p>
<p>lakerfann… i dont getit 0.0</p>
<p>cuz of all the jokes where random people walk into a bar. it’s supposed to be ironic. lol oh well. i laughed</p>
<p>ironic, huh?</p>
<p>“find two positive intergers such that hte sum of the first number and fourt times the second number is 1000 and the product of the numbers is as large as possible”</p>
<p>whats the answer to this? is it 125 and 500?</p>
<p>yeah… i don’t know.</p>
<p>what was the answer to that last one?</p>
<p>yea i think 500 and 125 is gonna give you the highest product possible</p>
<p>constraint:x+4y=1000
maximize: xy</p>
<p>use lagrange multipliers</p>
<p>let f=xy
let g=x+4y-1000</p>
<p>solution:
∇g=<1,4,0>
∇f=<y,x,0>
∇=λ∇g
<y,x,0>=λ<1,4,0>
y=λ
x=4λ
x+4y=1000</y,x,0></y,x,0></p>
<p>8y=1000
y=125</p>
<p>x=4λ=4y = 500</p>
<p>i’ll try to recall an extra credit problem from a phil test last year…</p>
<p>there are three black (as in NOT see through) bags of marbles on a shelf.
one bag contains 100 red marbles.
another bag contains 100 blue marbles.
the last bag contains 50 red marbles and 50 blue marbles. </p>
<p>each of the bags is labeled – either ‘Red’, or ‘Blue’, or ‘Mixed’ – but each bag is labeled INCORRECTLY. </p>
<p>so…</p>
<p>you can take any number of samples from any of the bags. from one… from two… from all three… BUT… you’re in a rush… </p>
<p>what is the fewest number of samples you can take in order to figure out the true contents of each bag?</p>
<p>explain.</p>