# regular

1. ### Surface Area of a Regular Tetrahedron

How to find the surface area of a regular tetrahedron using calculus? The surface area should be √3 a^2. I tried to do the same approach that MarkFL did for the volume but I could not figure out how to do it with the area!
2. ### Regular Tetrahedron

How to find the volume of a regular tetrahedron using calculus? V = ∫ dV = ∫∫∫ dx dy dz This is what I did first I was thinking to take a cross-sectional equilateral triangle and integrate it from 0 to h, but I could not figure out how to do that. Instead I integrated each variable as...
3. ### Automata Theory regular expressions

hello , hopefully i made this post in the right section lol. im trying to brush up on my automata for a test and i ran into something thats confusing me. this question asks Which of the following regular expressions denotes the set of all strings over the alphabet {0,1} that contains at least...
4. ### Regular Expressions

Could someone please help me and tell me if this is correct. I need to come up with a regular expression for ... A = {a,b} All strings that contain one or two b's and end with aab I think the answer is (a* b a*) v (a* b a* b a*) aab I am just not positive and I have to be correct
5. ### Proving that matrix is regular.

If A, E are nxn matrices with all elements being real numbers and if (A+E)3=0, then prove that A is regular matrix. I know what it means that matrix is regular, it means that it's determinant is not zero so there exists A-1 and AA-1=E but i don't know how can i prove that all this works for...
6. ### Area of regular polygon, proof needed.

It is given that area of regular polygon = 1/2*perimeter*perpendicular from centre to any side. Can anyone provide proof for this formulae? Thanks.
7. ### regular graph

let it be G=(V,E) bipartite connected graph, r- regular when r>=2. prove that there is a path which his size is at least 2r-1. how can I solve this?
8. ### regular polygons-HELP

ABCD and FCBE are 2 regular polygons. Side BC is mutual. Angel ABE is 70 degrees. What is the sum of the sides of 2 polygons? İmage is in the link below. View image: analitik
9. ### How to deal with this problem of regular spherical polygon with max. no. of sides

A regular spherical polygon has the maximum no. of sides (each as a great circle arc) on a spherical surface with a radius 600 units such that its each interior angle is exactly 177.3 degree. How to evaluate the length of its each side? any help is highly appreciated. thanks...
10. ### Scale position of points in a circle so it looks like a regular scaling?

I have an Art degree, no math involved, so sometimes when doing 3D graphics and envisioning problems, it's hard to search for solutions over the internet since I don't have good pointers for search terms. I'm sure this is a trivial problem with a proper name/solution. Basically I just want to...
11. ### Showing regular languages are closed under min using DFA's

Hello all! I think I've got the idea of this question, but am not sure how to create its DFA's: Question: Using DFA’s (not any equivalent notation) show that the Regular Languages are closed under Min, where Min(L) = {w | w ∈ L, but no proper prefix of w is in L}. This means that w ∈ Min(L) iff...
12. ### Show that is a regular value

Good night, my friends, can you help me with these exercise? Let $N$ a $k$-manifold, $X$ a compact $(k+1)$-manifold in $\mathbb R^N$, and $F:X\rightarrow N$ a differentiable map. Let $y\in \operatorname{Reg}(F)\cap \operatorname{Reg}(F|_{\partial X})$ and let $J$ a connected component of...
13. ### Regular hexagonal pyramid-maximum volume?

Guys has six bars in length of 7 meters from which he wants to build a teepee(tipis) in the shape of a regular hexagonal pyramid. Determine the height h (a base b) so that the teepee has as much space as possible.(By space I think they in a real mean volume....) Any idea how to get the...
14. ### Area of a Regular Polygon without using Trigonometry

Can anyone give me some direction on how to find the side length or the area of a regular polygon if I know the apothem or the radius, without using Trigonometry? I need something that works for any amount of sides. Any help would be greatly appreciated!
15. ### Statistics and Probabiity Tutor Not Regular Math Tutor

Here is something you should know. If a student needs help with statistics and probability beyond the high school level, do not hire a regular math tutor. Hire a statistics tutor. You may ask: "Isn't statistics and probability math?" The answer is yes but it is a separate branch of mathematics...
16. ### Regular polygon

Hey Guys, I need some help finding the value of the variable. I know you will need to use sine for this one but I don't know what numbers to use. I know it's a regular polygon with 5 sides so that means each angle is 72. I don't know what the next step would be. State the ratio needed, and...
17. ### quick glance at language to determine if regular or not regular

I was wondering if there is quick way to look at the language to determine if its regular or now or CFG or recursive or recursive enumerable. I found this post "For context free language one quick method is just see the number of comparisions. In the example see n<=m and m<=s. So there are...
18. ### Kernal of the left regular action

The left regular action is defined as follows: Let G be a group and A = G (as sets.) Define \phi : G \times A \to A: g \cdot a \mapsto ga where g is any element of G and a is any element of A. ga is calculated using the group operation in G. The question is to find ker( \phi ). The kernal...
19. ### Symmetry group for a regular square based pyramid

I can figure out e, and three rotations and 4 reflections, which is similar to that of a square. Identify each of your symmetries by a single letter, and use these letters to construct a group table for S(f) is this the same as that of S(square)?? Many thanks.
20. ### Diagonals in a regular pentagon

How many diagonals does a regular pentagon have? Please help me on this problem! I would appreciate steps on how to get the answer or hints!