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2
votes
0answers
17 views
How to find the point in a closed geometrical figure which maximizes the “direct-line-of-sight function”
To expand upon the title, and put it in clear terms, I phrase the problem thusly:
Consider the interior of any continuous, closed, non-self-intersecting curve in the plane. (I'm not sure if I'm ...
-2
votes
1answer
35 views
how do i solve this problem
I got this problem to solve in a non calculator paper test and didn't know how to solve it.
The mode of five numbers is 3.
The median is 7.
The mean is 6.
Work out the 5 numbers.
1
vote
0answers
20 views
Uniqueness of solution for boundary value problem
In the article : "Third order semipositone boundary value problems"
They assume that $w(t)$ is nondecreasing and $w(t)>0$ on $(q,1]$ .
and they found the Green's function ...
-1
votes
2answers
74 views
How do I work out this problem? [closed]
Three different numbers add up to 90.
All numbers are even.
The second number is twice the first number.
The first number multiplied by the second number is equal to the third number.
Work out the ...
1
vote
1answer
37 views
Sum over cosines = dirac delta - how to get the coefficients?
Given this formula:
$$\sum\limits_{n=0}^\infty a_n \cos(n \pi x / d) = \delta(x-x_0)$$
Where $0 \leq x \leq d$. How can one calculate the coeffciients $a_n$?
I googled and searched all kinds of ...
2
votes
3answers
37 views
Finding the number of ordered pairs that satisfies an equation
How many number of ordered pairs of positive integer $(a,d)$ satisfies:
$$\frac{1}{\frac{1}{a+2d}-\frac{1}{a+3d}}-\frac{1}{\frac{1}{a}-\frac{1}{a+d}}=2012$$
This question is too complicated. Like I ...
1
vote
4answers
110 views
2
votes
6answers
199 views
Solve the equation $x-7=28$ [closed]
The question is $x-7=28$
But I'm not sure if when I subtract do I have to change the signs to negative?
3
votes
2answers
106 views
Irrational equation, How to solve it?
The equation
$$\sqrt[3]{x^2-1} + x = \sqrt{x^3-2}$$ has a solution $x = 3.$ How to solve this eqution?
1
vote
3answers
29 views
I need help with this word problem.
A pet store owner wants to mix together an high quality dry cat food costing 1.10
per pound with a lower quality dry cat food costing 0.85 per pound. How many
pounds of each should be mixed together ...
1
vote
1answer
28 views
Solving for $f(n+1)$ when $f(k)$ is known for $k=0,1,…,n$
I posted earlier about polynomials but this is different type of problem I think. I seem to have an answer but I mistrust it....
A polynomial $f(x)$ where deg[$f(x)$]$\le{n}$ satisfies $f(k)=2^k$ ...
30
votes
1answer
530 views
Proving that $x$ is an integer, if the differences between any two of $x^{1919}$, $x^{1960}$, and $x^{2100}$ are integers
For a specific real number $x$, the difference between any two of $x^{1919}$, $x^{1960}$ , and $x^{2100}$ is always an integer. How would one prove that $x$ is an integer?
-2
votes
1answer
103 views
What branch of mathematics improves logical thinking? [closed]
So, that's the question. I dare to generalize it even wider: what branch of mathematics improves the general thinking ability, intilligence, the way the person thinks, and makes it more logical? I'm ...
3
votes
0answers
76 views
Difference between two sets of data points
I'm making a simple calibration of a z-stage, by measuring a number of points in one direction with a constant $\Delta$Z between each sample. Then I reverse the direction and measure the same number ...
10
votes
4answers
84 views
Ways to fill a $n\times n$ square with $1\times 1$ squares and $1\times 2$ rectangles
I came up with this question when I'm actually starring at the wall of my dorm hall. I'm not sure if I'm asking it correctly, but that's what I roughly have:
So, how many ways (pattern) that there ...