I'm sorry if it takes time to respond, I have like several question to answer at the same and I must give this tomorrow lol Don't worry, I keep track of what I write on paper. I'll respond here if something I'm having a problem with.
1. Homework Statement
I have lim of n > infinity (1+1/n)^n
2. Homework Equations
3. The Attempt at a Solution
I know that I must use l'hospital rule and setting ln y = n ln (1+1/n)
And after lim n ln (1+1/n) as n approaches infinity.
After what do I do ?
It's asking me specifically to use limiting process. It's a kind of introduction to calculus problem, that's why. So I can't use the technique you showed me :/
1. Homework Statement
I have the following complex numbers : -3,18 +4,19i
I must put it in polar form.
2. Homework Equations
r=(a^2+b^2)^(1/2)
cos x = a/r
sin x = b/r
3. The Attempt at a Solution
I was able to find with cos x = a/r that the x = 127,20
But when I do it with sin x = b/r I...
Because the book that I'm using doesn't want us to use differentiation. I know that I could use these formulas, but I don't want too. (It's like we didn't learn them yet)
1. Homework Statement
A stone is thrown into still water, forming ripples which travel from the center of disturbance in the form of circles. If the circumference of the circle which bounds the disturbed area is 10 ft and the circumference is increasing at the rate of 3 ft. per second, how fast...
1. Homework Statement
So I have the following hyperbola
x^2/4 - y^2/4 = -1
I need to find the focus points of this hyperbola. What is some analytical way to do this ?
Thank yoU!
2. Homework Equations
I don't know...
3. The Attempt at a Solution
I need some analytical way to be able to...
Ok I was finally able to draw this cursed parabola. May it go to hell. thank you again for your help! This page helped me a lot : https://en.wikipedia.org/wiki/Rotation_of_axes
Forget it, I was able to make it work. In fact, I found an easier way. I rotate one coordinate x and I replace it in my long equation to find the y. (Using worlfram to find the y)
Ok, I finally understand. We did a rotation which permitted me to identify a parabola. Now I must redo a rotation but inversly. so I found these equations : x=x'cos theta - y' sin theta
Which seems to work because I obtained the correct vertex of -1/2^(1/2), 1/2^(1/2)
Ill continue and see...