Recent content by DameLight

Hi, I am taking Calc III, but I am having a hard time understanding some of the concepts. Right now I am struggling with understanding the curvature of a line. What I have in my notes is this: Curvature second derivative (rate of change of tangent line)(rate of change w/ respect to arc length)...

I don't want to assume, but that sounded a bit rude. Still, your explanations are helpful. I am assuming that going off of your explanation for 5 that we can compare that to a geometric function ∑n=0∞ anrn and since the absolute value of r is less than 1 we can go ahead and reason that the...

The correct answer ended up being: 1. A 2. C 3. D 4. D 5. C 6. D Thank you for your help : )

My professor told me that I got numbers 2 and 3 correct

Hello, I'm looking for some help with this problem for my Calculus 2 class. Since it's a summer class my professor wasn't able to explain everything fully so if you can help me that would be great : ) 1. Homework Statement Select the FIRST correct reason why the given series converges. A...

Thanks : ) I've seen that approach in my physics classes. Is that a physics approach or does that use calculus similar to what I used above?

It is my fault on all accounts I did not have a way to post a picture in the OP. The coordinate system should have been elaborated further, but I think I described it better in my last post/edit. I realized my mistake with the radius. I must have misread the question and lead myself to believe...

A tank in the shape of an inverted right circular cone has height 5 meters and radius 2 meters. It is filled with 4 meters of hot chocolate. Find the work required to empty the tank by pumping the hot chocolate over the top of the tank. The density of hot chocolate is δ = 1020 kg/m3. Your answer...

I did draw a sketch and I put the object on the coordinate plane as this question calls for. y represents all possible values between 0 and 5 along the y axis.

< Mentor Note -- thread moved to HH from the technical math forums, so no HH Template is shown > A tank in the shape of an inverted right circular cone has height 5 meters and radius 2 meters. It is filled with 4 meters of hot chocolate. Find the work required to empty the tank by pumping the...

ah I see now thank you for your help : )

because the polynomial on the bottom is in degrees of x so B ( x + 1 ) is better?

Bx + B + 1?

Hello, I was just introduced to this concept and I have solved a few problems, but I haven't come across any with denominators to a raised power yet. ∫ 1 / [(x+7)(x^2+4)] dx I would appreciate any directed help. 1. from the initial state I have broken the fraction into two assuming that...

Yes, I understand that the angle you need has to be correct in reference with your chosen coordinate system.