All Questions
Tagged with applications calculus
43
questions with no upvoted or accepted answers
2
votes
1
answer
165
views
Area and Volumes of revolution using disc method
(1) The disk method to determine the volume of revolution uses the volume of a cylinder of width dx
a proof of this involves showing cylinders (disks) above the curve and those below the curve
...
- 21
2
votes
2
answers
106
views
Find the exact length of the parametric curve(Not sure what I'm doing wrong)
As the title says, I'm not sure what I'm doing wrong. Any help would be greatly appreciated. Here's the problem with my solution.
Find the exact length of the parametric curve
$(x,y)=(\theta+\...
- 21
2
votes
0
answers
116
views
How might an applied mathematician view $ 1/x$, $\ln x$, and $e^x$?
I understand that the natural logarithm was developed by Gregoire de Saint-Vincent and Alphonse Antonio de Sarasa as to represent the area under the curve of the hyperbola $\frac1x$ before the ...
- 363
2
votes
0
answers
372
views
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
2
votes
0
answers
111
views
Application of integrating $\cos^4 x$?
A student asked a colleague the other day for a practical application that involved needing to integrate the fourth power of cosine, but no one here could think of one off-hand other than some volume ...
- 21
1
vote
0
answers
79
views
Using the trapezoidal rule for the Maxwell-Boltzman function
Background
I approached my physics professor with question 1 from this LibreTexts resource. (at the bottom of the page), to better understand the material via self-study.
Question
Using the Maxwell-...
- 1,426
1
vote
0
answers
41
views
Sequence of Logic in Diffusion Problem DQ
Problem: If a tank is filled with 100 gallons of water and mistakenly added 300 pounds of salt. To fix the mistake the brine is drained at 3 gallons per minute and replaced with water at the same rate....
1
vote
0
answers
34
views
Concerning some calculations for the elements in $(W^{1,2} (\Omega))^\prime$
The following question is motivated from the fact that I need to do some calculations in the weak sense, since I do not have enough regularity of the function $u$.
Let $ u \in L^2 (0,T; W^{1,2} (\...
- 155
1
vote
0
answers
381
views
Finding surface area element of a right oblique cone in polar coordinates using integration
I have this right angled oblique cone whose vertex is right angled with the diameter $2R$ and has a height $h$. I need to find the surface area element $dS$ for this cone. I know about the surface ...
1
vote
1
answer
686
views
what is the volume generated by rotating the given region.
My professor says the volume generated by rotating the region $\mathscr{R}_2$ about the line $OA$ is $5/\pi$ but I don't see how that could be the answer?
- 107
1
vote
0
answers
300
views
Any real life example of what happens to something when it is not differentiable at any point?
Can somebody tell any real life example which explains when something is not differentiable at some point. Like, a car moves and we get a graph of position time function, but what actually happens to ...
- 11
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
1
answer
104
views
Is it important to keep one's goal in mind when learning calculus?
I am learning calculus primarily as a prerequisite to understanding machine learning and other statistics/finance applications (Black Scholes, etc.), but I've found that most of the web content ...
- 1,922
1
vote
0
answers
72
views
Why does this mass equation not work in this calculus application problem?
This is a homework problem which I have already solved, but I want to know why my first approach did not work. I have already asked my professor this question, but he did not explain it very well.
...
- 951
1
vote
0
answers
166
views
Using data points and a best-fit to find a function for quantity with respect to price
So I'm taking an entrepreneurship class, and we're doing a simulation where we run a donut shop. My math is pretty strong (integral and differential calculus level), so I'm trying to use my math ...
- 399