ryan

Generally I can do double integrals, however in this case, I always end up needing to integrate the term "cos(y^2)" in one fashion or another. It isn't possible to integrate cos(y^2) without using fresnel integrals according to wolfram alpha, but since we have not learned about Fresnel integrals, I know that I am not supposed to use them for my answer, so there must be another way to evaluate the double integral. Any help is appreciated... I don't need an answer if you don't want to evaluate it, just some guidance on how to do it should help.

Generally I can do double integrals, however in this case, I always end up needing to integrate the term "cos(y^2)" in one fashion or another. It isn't possible to integrate cos(y^2) without using fresnel integrals according to wolfram alpha, but since we have not learned about Fresnel integrals, I know that I am not supposed to use them for my answer, so there must be another way to evaluate the double integral. Any help is appreciated... I don't need an answer if you don't want to evaluate it, just some guidance on how to do it should help.

I have the following practice question: Find an equation of the plane that is parallel to the line of intersection of the planes x-y+2z = 3, and 2x+3y-z = 4 and contains the points (2,3,5) and (3,4,1).

I I've tried all sorts of methods involving finding vectors and cross products and dot products, but it just becomes to hairy, I know there is a straightforward way about solving this, but I am not sure how to go about doing it... I think this problem should take less than 5 minutes, but its taking me forever.

I started occasionally smoking with my friends... I went to a hooka bar about 3 times and I have smoked 2 cigars in the past couple of months. I didnt think it would be too easy to get addicted, but I'm finding that I am having real urges to smoke now whenever I get anxious, and I'm even smoking in my dreams. I know lots of people who tried smoking for months and quit without a problem, but why am I having trouble after smoking 5 times, with weeks in between the times that I did smoke?

Is it possible to construct a room entirely made of mirrors where a light on one end of the room will not reflect all the way to the other end of the room?

Whenever I see pictures from the Himalayas, the peaks are well above all of the clouds. Is there a type of cloud that precipitates at very high altitudes, or are the lower clouds somehow pushed up the mountain or what?

The other day I smoked with my friends and I got high pretty quickly, when we stood up to go somewhere else, I got a massive head rush that lasted about 3 minutes. I couldn't see a thing but I was aware of my surrounding, I could hear my freinds getting worried about me until I partially lost my hearing as well. I crouched down on the ground for over a minute just blankly staring at the ground, which I couldn't see at all. They started to leave me, probably thinking I was just insanely high and out of my mind, and somehow I was able to get up and run after them even though I was convinced that I was going to lie there and pass out. I started to be able to vaguely make out objects after I ran for a couple of seconds and then I remained nearly blind for another few minutes. I could hear but not well due to an intense ringing in my ears. My friends took pictures of my face because it was so pale. I've never had this happen before, and I know that this is not a normal side effect. Also please don't tell me that weed almost killed me or that it killed a massive amount of brain cells, I know from AP Psychology class lecture and textbook that nobody has ever died from smoking too much weed (they have died from being stupid while they were high however), and that the human brain has a set of neuron receptors that are SPECIFICALLY designed to receive the neurotransmitter THC, which cannot be said about any other drug as other drugs simply mimic the neurotransmitter that was designed to fit into the receptor cite... Put shortly, you won't convince me to stop, I just want to know why this happened.

I'm 19, and by some miracle I literally have a perfect body, my friends call me "Greek god", and I'm top of my class as far as academics, but I'm also really awkward, and I'm really funny because I'm so awkward even though I can't help it, my friends think I'm trying to be funny but I'm not really. I simply allow my awkwardness to be funny instead of trying to restrain it. I've definitely seen weirder people who can get girls, but I think girls are afraid of me or something. Anyways, I've had like 2 relationships in my life, both of which were painfully awkward, like slightly less awkward than when Harry potter goes to the dance with that Asian girl and doesn't dance with her in the goblet of fire movie, and those "relationships" didn't last long at all. Girls don't even look at me unless they have a boyfriend already for some reason. I think maybe I'm too nice or something for letting other guys get the girls I want before me, anyways, any advice would be good because I'm just starting college, so it is a good chance to lose my old reputations if possible and start new... And I think I just answered my own question by typing it, but I'll ask anyway to see what you guys have to say