All Questions
7
questions
0
votes
1
answer
476
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Using 3D Piecewise Functions to Model a Rollercoaster
I am designing a roller coaster using functions (ie. linear, cubic, logarithmic, trigonometric). At some point, one of the parts of the rollercoaster does not follow a two dimensional graph, but ...
- 649
1
vote
1
answer
253
views
set up triple integral for volume
I was working on practice problems in the textbook and got stuck on this question. Any help would be greatly appreciated.
Set up two triple integrals with two different orders of integration that ...
- 21
1
vote
0
answers
100
views
What are some example use cases for Newton's Method being extended to higher dimensions?
I'm currently working on a project to attempt to optimize a program that runs Newton's Method in higher dimensions - the actual computer science isn't important. However, what is a lot more important ...
- 1,908
1
vote
3
answers
4k
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Applications of Multivariable Calculus
As part of the final for my Multivariable Calculus class, I am to create a project wherein I find an application of some multivariable calculus subject (up to and including Green's Theorem), and ...
- 93
2
votes
0
answers
372
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Moment of inertia : How to find out perpendicular distance?
The boundary of a thin plate is an ellipse with semiaxes a and b.
Let L denote a line in the plane of the plate passing through the center of the ellipse and making an angle k with the axis of length ...
- 309
0
votes
1
answer
26
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Volume of Revolution $f(x) = x^2$
Suppose you are given $y = f(x)$
I want to use double integrals, instead of the traditional washers.
Suppose even better, $f(x) = x^2$
Find the volume of $f(x) = x^2$, $x = 0$, $x = 4$, $y = 0$ &...
- 491
2
votes
2
answers
1k
views
A model for the spruce budworm population
A model for the spruce budworm population $u(t)$ is governed by
$$\frac{du}{dt}=ru\left(1-\frac{u}{q}\right)-\frac{u^2}{1+u^2}$$
where $r,q$ are positive dimensionless parameters. The nonzero stedy ...
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