3bob Posted August 22, 2016 (edited) double integral (maybe ask Brian since I don't know) "which is the analogy of the formula Rc a f(x)dx = Rb a f(x)dx +Rc b f(x)dx for single integrals. Thus ZZD(xy−y3)dA = Z0 −1Z1 0 (xy−y3)dy dx +Z1 0 Z1 x (xy−y3)dy dx = Z0 −1"xy2 2 − y4 4#1 y=0 dx +Z1 0 "xy2 2 − y4 4#1 y=x dx = Z0 −11 2x− 1 4dx +Z1 0 x 2 − 1 4− x3 2 − x4 4!!dx = "x2 4 − x 4#0 −1 +"x2 4 − x 4 − x4 8 + x5 20#1 0 = −1 2 − 3 40 = − 23 40 In the next example the integration can only be done one way round." Edited August 22, 2016 by 3bob Share this post Link to post Share on other sites
Marblehead Posted August 22, 2016 Yeah, let's leave that equation for Brian. double bond 1 Share this post Link to post Share on other sites
sagebrush Posted August 22, 2016 I think that I am going for a walk soon! worked for the Wrigley family---but distilled into marriage as offield. on the ever beautiful island of Catalina off the coast of California. who knows what the day will bring? I see a need for sharing and caring! dug through my old English file --it says on the file more crap! how do I get over here? then how do I keep that at bay? from some typed text years ago--- had I honored my intuition I could have saved myself a lot of grief, fear and anxiety, and most of all kept myself out of necessary danger. I have: wedged snuggly between my unorganized files is an 8X10, air bubble-lined manila envelope. It is addressed to me in handwritten print.............................................................................describing stamps with lots of juicy gum................colors I've had an attachment to my anger and to the sender of the envelope. my anger is to my own self for the years of not engaging in dressage! the island: Natalie wood drowned I did mushroom---laughed my ass off layed at the edge of the cliff staring into the crashing waves the green sea grass---- I am there! daring to jump into and swim the channel my dear friend robert living not far now from mt Shasta--- was smart enough to say no way! we were not strong enough to swim that current-----!!!!!!!!! trailed at night through pig tunnels...some areas were seriously marked with heavy urine learned about the trapdoor spider---heard about it,.... years later I found them walking around the banks at batiquitos lagoon beyond beautiful... the decoy of the hinged opening--- so tangential.... island times pre birth of my son pinnacle of my career-- working at the Offield job was over six months--- lots of fun. he has since died of cancer.---but legacy of being a real steward of the santa catalina conservancy! black tailed antelope----fortunate enough to see that!!! the buddy I worked with his name Chip- was blown away that my friend and I go to see them. he had never seen them but heard of them beautiful rock gardens on the back side of the island-- nobody solves a problem like maria! I drank some bai coconut water- damn that made me cry 2 Share this post Link to post Share on other sites
sagebrush Posted August 22, 2016 the funny thing is ? how do your pound signs lean so funny to the left? in your script? that is just for fun! penmanship.......in alignment but that pound sign I am not coming back here today!!!!! Share this post Link to post Share on other sites
3bob Posted August 22, 2016 double indemnity double split (of various kinds) double doors Share this post Link to post Share on other sites
Kar3n Posted August 22, 2016 double cheeseburger (yes, I am hungry) 1 Share this post Link to post Share on other sites
Marblehead Posted August 22, 2016 Double breasted (That's a man's jacket. Just to keep the mind from wandering.) 2 Share this post Link to post Share on other sites
3bob Posted August 22, 2016 double scoop double backed tape double homicide double the fine (zone) Share this post Link to post Share on other sites
3bob Posted August 22, 2016 triple breasted would be more to wandering 1 Share this post Link to post Share on other sites
Marblehead Posted August 22, 2016 Don't expect me to respond to that. I get into enough trouble all by my self. 1 Share this post Link to post Share on other sites
3bob Posted August 22, 2016 double hung (as in windows) double meaning double jack hammer Share this post Link to post Share on other sites
blue eyed snake Posted August 22, 2016 (edited) double fun Edited August 22, 2016 by blue eyed snake 2 Share this post Link to post Share on other sites
3bob Posted August 22, 2016 double yellow lines double lane double reverse (in football) Share this post Link to post Share on other sites
blue eyed snake Posted August 22, 2016 double dutch 1 Share this post Link to post Share on other sites
3bob Posted August 22, 2016 double hulled double shot (starbucks) double eagle (coin) Share this post Link to post Share on other sites
3bob Posted August 22, 2016 double flip double axel double helping Share this post Link to post Share on other sites
3bob Posted August 22, 2016 (edited) double digits double toothed comb double din (electronics) double billing Edited August 22, 2016 by 3bob Share this post Link to post Share on other sites
3bob Posted August 22, 2016 (edited) double stitched double pane double track (for old guys it was an 8 track) Edited August 22, 2016 by 3bob Share this post Link to post Share on other sites
3bob Posted August 23, 2016 (edited) double your money back guarantee double-goer (doppelganger) double dose double check (chess) double dribble double coverage double double (basketball) double clutch double seater double by-pass double quarter pounder double pumper (carb) double gender double parked double coated double pair (type of wire) double octave double eclipse double ganged switch double rinse double ejection mold double trigger double wedding double over time double burner (stove) double overhand knot double spinning kick.......and done Edited August 23, 2016 by 3bob Share this post Link to post Share on other sites