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please help me on this problem? i think its supposed to simplify to (e^x) / (e^x - 1). thank you!

I'm a pretty veteran gamer but I'm new to DOTA 2 (no league or DOTA experience). I have about 12 hours of gameplay (mostly against bots) and so far I've used Faceless Void, Ogre Magi, and Chaos Knight. I don't like that Chaos Knight relies on random luck. Ogre Magi's ult relies on luck also (passive). What is a good hero for a new player who does not rely on luck? Any other general tips are much appreciated! Thank you!

My girlfriend and i were fooling around and i put my penis in her but only for about 10 seconds and didnt thrust. I only put it about an inch in and took it out. I also wiped the tip with my finger to try an get off any precum before i put it in. She is not on birth control. She is supposed to get her period in about 5 days. Does she need to take plan b or not?

My girlfriend and i were fooling around and i put my penis in her but only for about 10 seconds and didnt thrust. I only put it about an inch in and took it out. I also wiped the tip with my finger to try an get off any precum before i put it in. She is not on birth control. She is supposed to get her period in about 5 days. Does she need to take plan b or not?

I have pus in the back of my throat and the doctor said to gargle salt water. It makes me gag so can I substitute that with other salty foods? Which other foods would work best?

I always have to ask my girlfriend to hang out and she's always busy with other things so it gets frustrating to ask her to hang out all the time. Why doesn't she ever offer an alternative time to hang out when she tells me she is busy? Am I just reading into this too much? Thanks

My friends and I are planning on going to the beach on senior skip day, but it's forecast to rain. I was wondering what some fun alternatives are. We have come up with movie marathon, but not everybody wants to lounge around for 10 hours watching TV. What are some alternatives?

my girlfriend are going to hang out in about 10 days and i was thinking of finding a romantic spot to eat dinner, watch the sunset, then watch the stars (while cuddling up of course ;D). so i need help planning logistics. what things do i need or need to do? whats an easy thing to cook/bring for dinner/drinks (she doesnt like soda)? btw, we are both 18 year old seniors in high school. any thoughts or details on this or to add are very much appreciated =)

Sometimes she makes it really hard to keep up a conversation because her replies are short and as if she's merely deflecting my texts. How can I get her more engaged in a texting conversation and what does it mean when she responds this way? Thanks

My girlfriend is a pretty busy person typically. We both take hard classes and don't have much time during the week, so we usually only hang out about once a week, but talk minimally during the week. I've asked her to hang out the following weekend a few times where she said she might be busy and would get back to me. I always end up asking her later in the week because she doesn't get back to me and she tells me she has plans. I understand she has her girlies and they need to hang out, but she's making me feel unimportant that she doesn't allot time for me. The solution is probably a conversation, right? If so, what kind of things should i ask, say, or talk about? Thanks so much

A particle moving along a curve in the xy-plane has position (x(t), y(t)) at time t greater than or equal to 0 with dx/dt = (3t)^(1/2) and dy/dt = 3cos((t^2)/2).

The particle is at position (1,5) at t=4.

1) find the y-coordinate of the position of the particle at t=0

2) on the interval 0 <= t <= 4, at what time does the speed of the particle first reach 3.5?

3) find the total distance traveled by the particle over the time interval 0 <= t <= 4.

If you could answer even one or all if possible, it would be tremendously helpful. Also, please explain because i would like to learn this stuff. THANK YOU SO VERY MUCH!!

I'm going to ask my girlfriend to prom using a tshirt. I'm going to write song lyrics on a tshirt with washable and permanent marker and with the tshirt, give her a note saying to wash the shirt. She'll wash it and the washable marker will come off, leaving only he permanent marker, which will ask her to prom. But she will need to be at her house to wash it and i won't be there. So i need a solution where she can give me a answer because i don't want her to have to text me the answer because that's lame. Thanks for your helpful ideas in advance!!

My girlfriend knows I've had sex before, but she's only kissed. We've been friends for over a year and have dated for over a month. We've made out, but I want to take it further and maybe try fingering her or touching her breasts. I don't want to come across as a horndog and i don't want to make her uncomfortable. I pretty sure she's not prude, but I'm not positive. Any tips for going about this?

Why is (-1)! infinite? An explanation would be super!

My church youth group is looking for some new games. We basically have free reign of our church and can run around, be loud , and have fun. We have open space as well. We do some weird, fun games like human fooseball, grog, and sardines (they're kinda goofy, fun games). Any new game ideas?

I've had 2 girlfriends in the past and they both pretty much initiated the first kiss. I have even had sex with the second girlfriend. She cheated on me and treated me horribly. I am currently dating this new girl and we've gone out 3 times and I'm yet to kiss her. She knows my past relationship status. I really like her, but my previous girlfriend devastated me. I'm over her, but I'm scared to get attached again although I think i want to with this girl. I'm having a hell of a time bringing myself to kiss her and she's gorgeous and super sweet. HELP!!!

This girl and I are both seniors in high school and have been dating for about a week. Before we started dating, we had been friends for about 4 months and on and off friends for a year and a half before that. Anyways, I'm not really sure what to do for valentines day next week because we have only been dating for a short period of time. What kind of gift if any? What kind of date? How i should act? Thanks so much!

My friends and I are planning a vacation. We are almost all 18 and want to rent something for 3 nights on the Cape in Massachusetts. We are looking to keep the cost under $300 per person, preferably less than $200 as we must factor in food and such. Any suggestions based on past experience or if you yourself rent or anything else? PLEASE POST LINKS. thank you a ton in advance!! we appreciate it