I meant that the derivative of the constant -2 (which appears in the numerator) is 0, so we just have to use the product rule to take the derivative of x*sqrt(x-1). The result,
√(x-1) + (x/2)*((√(x-1))^(-1))
... sorry I don't have practice entering these equations on this system ... but now...
Homework Statement
R is a rotation around the origin by ∏/4, G is a glide reflection; the reflection is across y=x and the glide is by (2,2). Find the compositions R°G and G°R and characterize them. If you find a glide reflection, specify both the mirror line and the "glide" vector...
I used L'Hopital's rule, and I think it's actually simpler in this case. The derivative of the denominator is 1, the derivative of the constant 2 is 0 so ...
I'm not entirely sure where you encounter difficulty?
A lot of people get stuck for a time on arc length and surface integrals (I did). If that's it, maybe this link will help...
I'm posting again to upload pdf files I generated from Geometer's Sketch Pad. They may help somebody follow what I write in the other two pdfs. Thanks!
Homework Statement
Given the unit circle (in the Euclidean plane) centered at the origin x^2+y^2=1, and a general circle D with equation (x-a)^2+(y-b)^2=c^2 that does not pass through the origin (ie the center of inversion, ie a^2+b^2≠c^2, prove analytically that the inversion of D in the...
Maybe I did something wrong, correct me please if I did, but I think B is linearly dependent. A linear dependence relationship would be b1=1, b2=-1, b3=1, or any multiple of it. I uploaded a pdf file showing how I found this. The way this problem was worded led me to think B should be...