• Today, 06:01
If you are allowed to use the Heron's formula, then you can do the following. Let $AB=c$, $BC=a$ and $AC=b$. Then the area of the triangle is...
1 replies | 30 view(s)
• Today, 05:37
Welcome to the forum! I think the meaning of "parameter" is different in this context. This meaning is described in the article about parametrized...
1 replies | 21 view(s)
• Yesterday, 14:13
Evgeny.Makarov replied to a thread Jokes in Chat Room
One student claimed that \ln0=e. To prove it, he typed \ln and 0 on a calculator and got the answer e. Another student had to prove that...
154 replies | 17548 view(s)
• Yesterday, 04:59
Joseph A. Gallian, in his book, "Contemporary Abstract Algebra" (Fifth Edition) defines an irreducible element in a domain as follows ... (he also...
0 replies | 34 view(s)
• Yesterday, 04:23
Thanks for the help johng ... But i am still a bit puzzled ... I think we have to show that \{ \frac{k}{ 2^n} \ | \ k.n \in \mathbb{Z} \} is...
3 replies | 51 view(s)
• Yesterday, 02:29
MarkFL replied to a thread 231.14.88 3d surface in Calculus
Multiplying through by $9+6x-8y$ and distributing the $26$, we obtain -x^2-y^2+z^2=156x-208y+234 -x^2-156x-y^2+208y+z^2=234 ...
3 replies | 53 view(s)
• February 17th, 2017, 10:19
Evgeny.Makarov replied to a thread Rhombus question in Geometry
\begin{tikzpicture} \renewcommand\ss{2} \coordinate (A) at (0,0); \path (A) ++(220:\ss) coordinate (D); \path (A) ++(-40:\ss) coordinate (B);...
3 replies | 52 view(s)
• February 16th, 2017, 23:12
I am reading Stephen Lovett's book, "Abstract Algebra: Structures and Applications" and am currently focused on Chapter 5 ... I need some help...
3 replies | 51 view(s)
• February 15th, 2017, 20:29
You have two points on the graph, so you can compute the slope as follows: m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} Then, you can...
2 replies | 58 view(s)
• February 14th, 2017, 23:47
Yes, the derivative of the function evaluated at the $x$-coordinate of the tangent point will give you the slope $m$ of the tangent line. :)
4 replies | 89 view(s)
• February 14th, 2017, 23:18
The first derivative of a function gives you the slope of the tangent line, not the tangent line itself. Thus,for some function $f(x)$, the tangent...
4 replies | 89 view(s)
• February 14th, 2017, 22:17
Let's try your substitution of: u=x+9\implies du=dx I=\int_9^{18}\frac{(u-9)^3}{u^2}\,du By the binomial theorem: ...
1 replies | 47 view(s)
• February 14th, 2017, 13:25
John and Peter play the following game using a regular chessboard. John thinks of 8 squares so that no two squares lie in the same row or in the same...
0 replies | 33 view(s)
• February 14th, 2017, 13:05
Evgeny.Makarov replied to a thread Java help in Computer Science
The loop should be like this. for (i = userNum; i > 0; --i){ System.out.println(i); if (i == 1) { ...
2 replies | 60 view(s)
• February 14th, 2017, 12:31
Just to follow up, we left off with: 8-\frac{15000}{x}=5 Arrange as: 3=\frac{15000}{x} Multiply through by \frac{x}{3}\ne0:
2 replies | 100 view(s)
• February 12th, 2017, 22:13
Thanks for the help, Euge ... Appreciate your assistance ... Peter
2 replies | 61 view(s)
• February 12th, 2017, 16:23
Hello!!! (Wave) I am reading about the Method of Four Russians from here. We divide the dynamic programming table $D$ into $t$-blocks such...
0 replies | 35 view(s)
• February 12th, 2017, 13:00
You should use the following facts. The cosine of angle between v_1=(x_1,y_1,z_1) and $v_2=(x_2,y_2,z_2)$ is $\dfrac{v_1\cdot... 2 replies | 70 view(s) • February 12th, 2017, 03:00 I have been thinking around the definition of a unit in a ring and trying to fully understand why the definition is the way it is ... ... Marlow... 2 replies | 61 view(s) • February 12th, 2017, 00:21 Yes, we use$\LaTeX$powered by MathJax, which is what you'll find on most other math sites. The only difference is, unlike other sites, we provide... 3 replies | 105 view(s) • February 10th, 2017, 18:00 1^4\cdot29\cdot61\cdot64\mapsto(-2)^4\cdot26\cdot58\cdot61. 6 replies | 145 view(s) • February 10th, 2017, 11:34 Let's generalize the method I posted >>>here<<< to reflect a given point$(a,b)$about the line$y=mx+k$, where ($m\ne0$). We will call the reflected... 3 replies | 112 view(s) • February 10th, 2017, 10:27 MarkFL replied to a thread Line y = (x/2) + 3 in Pre-Calculus Another way to show 3 points are collinear is to pick two distinct pairs from the 3 points, and show that the slope between both pairs is the same. :D 2 replies | 55 view(s) • February 10th, 2017, 07:45 There are many ways to traverse a list in Java. Here are several examples. for (Passenger p : passengers) System.out.printf("%s, ",... 2 replies | 67 view(s) • February 10th, 2017, 07:06 Suppose that$QQ'>PP'$. Drop perpendiculars$PR$and$P'R'$on$QQ'$. Let$M$and$N$be the midpoints of$PP'$and$QQ'$, respectively. Then$PRNM$... 5 replies | 73 view(s) • February 10th, 2017, 00:30 MarkFL replied to a thread Square root Convergence in Calculus To extend the ladder for$\sqrt{k}\$, you want: x_{n+1}=x_n+y_n y_{n+1}=x_{n+1}+(k-1)x_n
1 replies | 73 view(s)
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