Cylindrical Definition and 761 Threads

i'm told to use the method of cylindrical shells to find the volume gnerated by rotating the region bounded these curves about the y axis: y=e^(-x^2) y=0 x=0 x=1 Couple questions. What does the graph of y=e^(-x^2) look like? Also, i know the integral is =integral(a,b) 2(pi)x*e^(-x^2) how...

I have a cylindrical hoop of mass M and radius R with string (presumably thin and massless) wrapped around it. I take the end of the string from the hoop and let the hoop fall. (a) What is the torque about the CM of the hoop as a function of time? (b) What is the tension of the string as a...

The problem is: Write the vector V=i+j+k=(1,1,1) at the point (x,y,z)=(1,1,1) in cylindrical polar coordinates. What is the gradient of the function phi=x(x^2+y^2)z at this point? Answer: I don't know how to write the vector in cylindrical polar coordinates. I know that the coordinates...

What is the equation of a cylinder with its axis in the xy-plane and making an angle 'alpha' with the x-axis, the axis intersects the y-axis at a distance of 'k'? Initially i thought this problem to be very simple but haven't got any success with it in last few days thanks for your help! Xishan

Hi everybody The integral in question is the triple integral of x dV over the region E, where E is enclosed by the planes z=0, and z=x+y+3, and the cylinders x^2 + y^2 = 4 and x^2 + y^2 = 9. Well--- so far in cylindrical coordinates I know the r limits will be from 2 to 3 since the...

I have the following cylindrical equation: z = r^2 cos(2theta) I am suppose to convert it into a rectangular equation. I'm stumped.

I have been stumped on this question for two days~!~ I am not even sure this is where to post this, but any answers or ideas or anything are greatly appreciated! the question is 'CALCULATE THE HEIGHT OF A CYLINDRICAL TANK FILLED WITH WATER HAVING A MASS OF 1587.0 KG. THE DIAMETER OF THE...

I have a new question: "In applying Gauss's Law describe the types(s) of charge distribution for which (a) a spherical gaussian surface is useful and (b) a cylindrical gaussian surface is useful" please help!

I'm just beginning to learn to use gnuplot & can't figure out how to display a cylindrical surface in 3D. Even a simple one like x2 + y2 = 1 Oh, and how about a vertical plane? Anybody know how to do this?

i have a cylindrical pipe with a fixed internal diameter and a variable length. how would i calculate the resonant frequency of water within it, given that the speed of sound in water is approx. 1398 m/sec?

I have to keep an inventory of how much is kept in a farm of tanks outside my school. The tanks are cylindrical, which would be no problem if they were standing on end, but they're not, they're lying on their sides. xx x x x----------x...