Tagged Questions
1
vote
2answers
91 views
Find area of a simple, smooth, closed curve lying in a plane
I was given this question in class and I assume it is a spin off of Green's theorem for finding the area of a closed curve $\lambda$ in 2D but expanded to 3D I believe. Anyways I am pretty confused ...
0
votes
0answers
22 views
Equation of generating surface.
When it comes to word problems, math begins to elude me.
The question given to me is the following:
There is a hyperbola $4x^2-9y^2 = 36$ on the xy-plane
a. What is the equation of the generating ...
2
votes
1answer
94 views
What does the definition of curvature mean?
First question, am I right in saying that curvature measure how quickly the direction of a cruve changes?
Also, we have been given the "definition":
$$T'(t) = \kappa(t) | \gamma'(t) | U(t)$$
where ...
2
votes
1answer
1k views
find length of curve of intersection
I have come to a dead end on a problem and I need someone to tell me either if I did it correctly, or how to fix it if I did not. This is Stewart Calculus 7th edition, problem 13.3.12.
Here is the ...
2
votes
2answers
104 views
Describing multivariable functions
So I am presented with the following question:
Describe and sketch the largest region in the $xy$-plane that corresponds to the domain of the function:
$$g(x,y) = \sqrt{4 - x^2 - y^2} \ln(x-y).$$
...
