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7 questions with no upvoted or accepted answers
2 votes
0 answers
184 views

f(x+s)=f(x)f(s) imply that f is an exponential function when f(0) = 1.

I was reading a proof for a theorem in Erhan Cinlars intro to stochastic processes textbook that any equation with the following $f(x+s) = f(x)f(s)$, with $f(0)=1$. Then $f(x)=e^{(-ax)}$ for some $a$. ...
user7120528's user avatar
2 votes
0 answers
64 views

In search of a College Leve Pre Algebra Applications Textbook

I am looking for a textbook at the college level that mainly focuses on applying algebra to situations. I want students to know how to set up the equations, not just solve them.
mmolnar's user avatar
  • 21
2 votes
1 answer
105 views

Application of Dimensional Analysis Problem

It is given that the radius $R$, in meters, of the expansion of a liquid in the soil is given by $t$ (time elapsed since the liquid was released), the mass $M$ of the liquid released and of the ...
curious_math's user avatar
0 votes
0 answers
45 views

Where to apply binomial expansion?

I would like to know where I could apply the expression as part of other equation $$\bigg( 1 + \frac{x}{r} \bigg)^r$$ considering $r \in Z$. It means, in what kind of problem I can use this expression....
K Z Nobrega's user avatar
0 votes
0 answers
70 views

Arc length vs Surface of revolution.

I don't understand why these two problems are solved differently here the first one $fig(1)$ and 2nd one $fig(2)$. Why did we take the limit $\displaystyle \lim_{r\to0^+}\int_r^\pi \sqrt{2-2cost}\...
user avatar
0 votes
0 answers
380 views

What are the real life application of absolute function?

The well-known absolute function $|x|$ has many uses in mathematics, physics, etc. I know one of the majority applications of abs function in the alternative current making with diodes. But it is ...
Khosrotash's user avatar
  • 25.2k
0 votes
1 answer
63 views

Why can we apply the surface area of revolution theorem to a spiral?

To find the surface area generated by revolving function f which is smooth on the interval [a,b] and $f(y) \ge0$ around the y-axis we can use the formula $$S=\int_a^b 2\pi rdl =\int_a^b 2\pi f(y)\...
Youssef Mohamed's user avatar