# strategy

1. ### A strategy question

Hello everyone. I have a problem need to be solved, I do not know which catalog this question belongs to. But let me give an example to demonstrate this: Let’s say there is a stock. When the price is 100, I bought it, I am certain the price will go up, and at some point, I am not that...
2. ### How to describe a strategy on proving that A= ∅, etc.

6. Describe strategies to prove the following: (a)A ⊆ B. (b) A = ∅. (c) A = B. (d) The set A has one single element. I'm stuck on how to describe a strategy for (b) and (d). I think that for (d) I just have to prove that A contains ∅. But for (b) do I have to prove that A contains a single...
3. ### Finding a specific solution for a general term in a sequence and a general strategy

A problem says to: Write the nth general term of the following sequence: 1, 16, 243, 4096, and 78,125......etc The answer given is n(2+n) Is that the correct answer? Also, what is a general strategy for solving such problems? Is there anything better than just guessing a pattern?(Doh)
4. ### Series Sum/Convergence Strategy

I am having some trouble knowing how to approach some series questions. So far my studies have been up through the root, ratio, and alternating theorem. As an example: From my understanding its best to try to determine if it even converges before trying to find what it converges to.... Sum...
5. ### Finding 3X3 Inverse Matrix Strategy

Basic Idea: Join a 3X3 matrix to a 3 X 3 identity matrix, and then change (via Gauss-Jordan elimination) the 3 X 3 matrix to reduced row echelon form, while changing the identity matrix from reduced echelon form to a 3X3 Matrix. Should you eliminate the 0s or 1s, or both in the identity matrix...
6. ### Strategy for Limit Series Comparison Test

What is a tip off to use the limit comparison test? What can we see that makes us want to use it? How do we choose b_{n}, given a_{n} is the given series? Example Converge or Diverge? Summation sign goes here with n = 1, infinity on top\dfrac{\sqrt{n +5}}{3n^{2} + n + 4}
7. ### Strategy for Series Comparison Test

What is the strategy? The online homework said that you should compare the series to a new series which keeps only the dominating term in the denominator. What does that mean? How about this example? Converge or Diverge? Summation sign goes here with n = 1 and infinity on top...
8. ### Trig Substitution Strategy

When the variable under the square root is not a square, then what is the general strategy? Any example? If the variable is a square then \sqrt{a - x^{2}} then a\sin\theta \sqrt{a + x^{2}} then a\tan\theta \sqrt{x^{2} - a} then a\sec\theta
9. ### phylosophy problem - proveing strategy

Hi, I am reading this book and there is an attempt to prove a concept by describin it and it is pretty vague what technique the writter is using to prove it. I mannaged to break his "proof" into variables and statements. so i have 4 variables y_{c}, x_{c}, k, c and the statemant the...
10. ### Calculus Graph Sketching strategy.

Hello all, I'm new here and I taking a course in calculus what is totally new to me, I having been work trough differentiation and now we got to do some graph sketching following 6 steps described in the book I have started this one but I'm not sure if I'm doing it correctly so all explanation...
11. ### Using the graph sketching strategy

Hi all I wasn't sure which forum to post this in but it does contain calculus so I hope it's in the right place. I have to use the graph sketching strategy to sketch the graph of the function (6x-5)/(4-9x^2) I know this is a long process and I've been doing similar ones with no problems but...
12. ### Game theory in Toads and Frogs game and its strategy

So taking the game theory course on Coursera, I got interested in a game called Toads and Frogs (Toads and Frogs (game) - Wikipedia, the free encyclopedia) - in the course, it's basically just skimmed through in some two videos but I wanted to know if there's some winning strategy. I read on it...
13. ### Face down paper strategy

Three pieces of paper each have one random number written on them. They are placed upside down on a table. The objective is to choose the slip with the highest number on it. The rules are: You may turn over any one of the three papers and look at its number. If you think it is the highest...

.
15. ### Using Polya strategy and the sub-goal or others

Sarah has a blanket with a patch size of 9x12. She has cut eight of the affected patch with black ink. Sarah plans to cut the blanket into two pieces and sew back to form a blanket size 10x10 patches. How to solve this problem? Please, help me. How to cut into two pieces only?.
16. ### Rhombus side length 'n'. Who has the winning strategy?

Chris and Michael play a game on a board which is a rhombus of side length n (a positive integer) consisting of two equilateral triangles, each of which has been divided into equilateral triangles of side length 1. Each has a single token, initially on the leftmost and rightmost squares of the...
17. ### Strategy games

Here is a game I wish I had the solution to: A cuboid consists of 4x6x9 cubes. Two people play a game where they reduce the cuboid with flat cut. Every time you make a cut you can have one of the two pieces and then the turn passes to the opponent who shares the cuboid in the same way with...
18. ### Problem-Solving Strategy

This strategy, while perhaps most applicable to physics problems that you can visualize, still has aspects that apply to many problems. I hope it will prove useful to you. 1. Write out the problem statement in full, converting all physical units to a consistent set in the process. (That way...
19. ### sampling strategy

I have a map of presence - absence (raster 1 or 0). The area where the phenomenon is present is much smaller in area than where it is absent. What I would like to do is run a binomial regression using multiple independent variables and presence absence as the dependent variable. To do this I...
20. ### The Mathematics in BlackJack Basic Strategy

I am doing a school project about the mathematics involved in card games, and I thought the basic strategy of BlackJack would be a great subject to touch on. For things like the basic strategy charts, what kind of math was used to generate the best possible moves. Now, I know that these are...