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Use a double integral to find the area of the region.

The region inside the circle

(x − 5)^2 + y^2 = 25

and outside the circle

x^2 + y^2 = 25

A lamina occupies the part of the disk

x^2 + y^2 ≤ 36

in the first quadrant. Find its center of mass if the density at any point is proportional to its distance from the X-AXIS.

p.s. it is proportional to the distance from x-axis not the origin.

I like this girl and when we are with our friends I am fun and funny and all that. But when it is only us (when I send her home and I'm waiting for my ride) I don't know what to do. I don't know what to say how to make a conversation or anything. I just it there making small talk and feeling bad that I am wasting the opportunity. Any suggestions what I could do?

p.s. I do not know if she likes me.

-_______-

I'm an international student in the US, in a place you probably never heard off. That's my intro. Ok. There is girl that I like she is from a different country and all but I really get along with her and stuff. For me the picture just fits, like, among the other girls in my school she just would seem a match. Pretty. Studies a lot. I do not know if a lot of guys find her attractive. She seems like a snob but I do not think she is. I try to hangout with her whenever possible and try to be sweet give her chocolate and all.

Here is my problem. I do not know if she is interested. Whenever I try something sweet. I get shot down. I went to her dorm, left her some apples and chocolate, since she was feeling down and stuff. She thanked me but that's it. Whenever someone teases us her reaction would be instantly NO! like a big NO. "No we are not a couple!" and I don't know I just shut up cause I know she will reply that way already. hahaha. She hates it when someone teases us and we spend time together just talking and she says she hates it when people tease her for nothing. BUT OMG I want there to be something and I think for her it is nothing totally. I want to give up, cause I think it is wasting my time if she still does not know that I like her when clearly everyone else does. I normally get a reaction of some sort. I tried making her jealous, tickling her always playing games and stuff but no reaction. She must be really good at hiding her feelings or she really doesn't have any for me. I don't want to jump in and destroy what we have now, friends playing games and that sort of stuff. But I will if just get a little bit of reaction, they called me numb in highschool and i do not notice when someone likes me, but at least the other people notice. as far as i know none of her close friends think she likes me. so BOOM.

I don't really ask questions here. but the truth is this is just a move. maybe she will see it, maybe she won't. If she does see it, hopefully she reacts somehow. A suggestion, if you see this and you do not like me, just tell me, tell me more stories about the guys you hangout with, so that i will be so jealous that I will just stop. maybe i will get good advice here in yahoo also. maybe i won't. Anyway. Thank you for reading. Hopefully you would know better what to do in my situation cause at the moment I'm stuck. lol xD

A dry core sample weighed in air has a weight of 100 gms. The sample is then saturated with carbon tetrachloride, and its resulting weight is 110 gms. The saturated sample is next immersed in carbon tetrachloride; its weight is 50 gms. What is the bulk volume of the sample (in cm^3)? The temperature is 60 degrees F.

A cooling tower for a nuclear reactor is to be constructed in the shape of a hyperboloid of one sheet. The diameter at the base is 300 m and the minimum diameter, 500 m above the base, is 200 m. Find an equation for the tower. (Assume the center is at the origin with axis the z-axis and the minimum diameter is at the center.)

The magnitude of a velocity vector is called speed. Suppose that a wind is blowing from the direction N45°W at a speed of 50 km/h. (This means that the direction from which the wind blows is 45° west of the northerly direction.) A pilot is steering a plane in the direction N60°E at an airspeed (speed in still air) of 200 km/h. The true course, or track, of the plane is the direction of the resultant of the velocity vectors of the plane and the wind. The ground speed of the plane is the magnitude of the resultant. Find the true course and the ground speed of the plane. (Round your answers to one decimal place.)

Use the arc length formula to find the length of the curve

y =

2 − x2

,

0 ≤ x ≤ 1.

Check your answer by noting that the curve is part of a circle.

1 is the numerator all the others are denominator. those inside the parenthesis of the sqrt are square root. thank you.