hmm i have a question about this, x= (y/a+ 1)a.
Wouldn't x=1 when we take the limit as a>>inf?
Thanks for your help
never mind i see how x wouldn't equal to 1 because y has some "a" terms in it so we don't know the ratio. But i don't see how x = e^y. Is the x formula like an equation for the...
tanks a bunch ill get back on you on the reverse function let me work it out. I am eating right now :) But the limit makes sense (argg why didn't i think of that)
Homework Statement
Well we are given a series of steps done with the number "x" and in the end the end value is ln(x). Basically we are asked to prove why it isn't a coincedience
Homework Equations
I put the steps into an equation, but i can't prove it.
ln(x) =^{lim }_{n->inf} (x^\frac{1}...
yea you must be in my class, rutgers math 152? I think i know you.\
For the problem i know you can do it with the shell method, but they want us to do it in washer method. so i need to change the equations to set them as a variable of way so i can integrate with dy. and do you have any idea on...
Hi, I need help with this calc2 question. Basically they want me to find the volume obtained by region bounded by y=2x(2-x) and x-axis. and the line of rotation is x=4.
Basically i know that i need to set up an equation based on the x variable that will give me the area and then i need to...
yup did the calculation, works! Believe this way thought me a lot more than somebody spoon feeding me the answer. I actually get the concept.
I just started calc2 and i feel like I am step ahead of everyone, because everyone just ditched this question and i was going crazy to find the answer...
omg i think i got it ! I can't believe it was that simple. so the limits of integration from -R to h - R and the same equation i use to get the whole volume. I didn't actually do it yet i need to get to class but this makes SO much sense (i think at least)
thanks a bunch
Limits of integration is just from 0 to h. So if i can a function that represents the area of the cross sections as a function of z i can just solve it.
I thought about using ur formula x^2 + y^2 + z^2 = R^2 so the area function would be pi(x^2+y^2+z^2) and y^2=R^2-x^2-z^2 and x^2=R^2-y^2-z^2...
yup did that. as well. Here let me try to explain again (sry I am new to forums don't know how to use the coding)
(this is not from my question but makes it easier for me to explain)
Im only given the radius as R and they want me to calculate the volume of the sphere that is filled with...
I did what you told me using calc but it gets me the volume of the total sphere. i did horizontal slicing using dx to form a triangle which gave me the area of the cross section. from that i just took the integral from -r to r to get the total volume. I just don't know how to modify it to get...
Hi i need help finding the volume of a partially filled sphere. I know that there is an equation to do this but i actually need to learn how to do this. Here it goes.
Its pretty straight forward no number. Sphere with radius R find the volume of liquid at height h. I know the total valume is...