Aha! i see...so i just forgot to take the derivative of e's '1' exponent *smacks forehead* all this time and second guessing...
Thank you very much, everyone!
and sorry about the misunderstanding about 1/(x-e) as the exponent. still getting used to Latex. :D
Hi, thanks for the reply.
However, I don't see my mistake, it'd be great if you could point it out to me.
I am following l'hopital's rule...so that's why I'm taking the derivative of the numerator and denominator separately instead of the product or quotient derivative rule.
Heya! Here's a question that I CANNOT solve for the life of me. Thanks for any direction!
Homework Statement
lim (lnx)^{\frac{1}{x-e}}
x\rightarrowe+
^^ I'm not sure if Latext is clear, but x-e is an exponent to lnx
Homework Equations
So, I'm thinking L'hopital's rule in starting...
Thank you for your response.
I was wondering if you could please elaborate on your post.
My work is in my original post where i substituted time into the vot equation. Is this what you meant by equating time with the time that i have? (not quite sure what you mean)
also, i have used that...
Here's another variable problem
Homework Statement
An extreme sportsman jumps from one cliff to another of width (w) by leaping horizontally by vo. With a height difference of h (where the starting cliff is higher) what is vo so he doesn't miss the cliff? (also, what is the direction of...
Oh, I see! It's matter of taking a further step and factoring out the \sqrt{2} from my initial integral.
One question, how did you go from 1+cost to (1-cost^2)/(1-cost)?
Thanks rockfreak. I'll try the question using that.
so, I substituted my two derivatives into the length equation, multiplied out my factors, and added sin(t)^2 with cos(t)^2 to get 1.
Thus, sqrt of 1+1+2cos(t)
is there a certain part of the integration that you see an error in?
Help in Curve Length Question :D
Homework Statement
Find the length of the curve where x=cos(t) and y=t+sin(t) where 0\leqt\leq\pi
Homework Equations
\sqrt{(dx/dt)^2+(dy/dt)^2}
x=cos(t)
dx/dt=-sin(t)
y=t+sin(t)
dy/dt=1+cos(t)
The Attempt at a Solution...
Thanks rohan for the posts.
Sorry about the wordiness of the problem, but the question i have here on paper is even more convoluted.
I now understand how the trig identities led to simplifying the integrals which allows for the antiderivative. The diagrams also helped me visualize the object...
Hello! I have an integral problem here dealing volume. I think I have a good idea on how to get to the answer, but I'm stuck on finding the antiderivative. Here's my work! Thanx in advance to any help!
Homework Statement
There is a solid lying between planes perpendicular to the x-axis...