# positive

1. ### Triple Integrals; Volume of Solids within Boundaries

Hello, everyone. So here is the problem in question with their respective answers: Let W1W1 be the solid half-cone bounded by z=x2+y2−−−−−−√z=x2+y2, z=3z=3 and the yzyz-plane with x≥0x≥0, and let Let W2W2 be the solid half-cone bounded by z=x2+y2−−−−−−√z=x2+y2, z=5z=5 and the xzxz-plane with...
2. ### Does Not Exist Limits

Can I answer DNE limits as infinity or negative infinity? like this lim sin(x) as x goes to infinity = infinity? lim sin(x) as x goes to -infinity = -infinity?
3. ### Top m eigenvectors of positive semidefinite matrix of dimension N and rank m<<N ?

Consider a real symmetric and positive semidefinite matrix of dimension N~10^5 and rank m~2000. What is the most efficient algorithm for determining the top m eigenvectors?
4. ### limit of x going to positive infinity (cos(1/x))

IDK how to do the problem limit of x going to positive infinity, where f(x)= (cos(1/x)) ( we cannot use the chain rule; we have not learned it yet). only thing I would do is just plug in positive infinity for x. So what is cos 1/ positive infinity?? Is there any other way to do this problem...
5. ### Find all positive integers m and n, where n is odd, that satisfy 1/m+4/n=1/12

Find all positive integers m and n, where n is odd, that satisfy 1/m+4/n=1/12 
6. ### Conversion % of a positive number to a negative

I am trying to figure out the conversion % of a positive number to a negative. Here is the example: If i had 1000 dollars more revenue produced this year compared to the same time last year, and made 106,600 dollars more in profit off of it compared to prior year - my conversion % would be...
7. ### Consider the equation cos(2.13t)=0.5. Find the smallest positive solution in radians

1. Consider the equation cos(2.13t)=0.5. Find the smallest positive solution in radians and round your answer to four decimal places. 2. Consider the equation tan(2.81t)=10.0. Find the smallest positive solution in radians and round your answer to four decimal places. Please explain. Thank you!
8. ### Proving aI+A is Positive Definite

>Let $A \in M_{n \times n}^\Bbb C$ be a self adjoint matrix. Prove that there is $a \in \Bbb R$ such that $aI+A$ is a positive definite matrix. What I did so far Let $v$ be a vector in an orthonormal basis of $A$ which exists since $A$ is self adjoint.$A$ is also diagonalizable so \$Av=\lambda...
9. ### 4 positive real-number values of t for which cos t=0

List four positive real-number values of t for which cos t=0 So we know that cosine is the x-axis. So cosine at 0, and they want me to list four positive real number values? So It could be 0,0 , 0, pi/2, 0,pi , and 3pi/2 The answer in the book has pi/2, 3pi/2, 5pi/2, 7pi/2...
10. ### Comparison test - f(x) = x / (x^3 + 1) from 0 to positive infinity

I need to see if the following is convergent or divergent. f(x) = x / (x^3 + 1) [0, + infinity) I tried creating a function that was larger than this. I came up with g(x) = x / x^3 = 1 / x^2 The issue is that when I take the limit of g(x), I end up with ( -1 / t ) - ( -1 / 0...
11. ### Proof : Let M be a symmetric positive stochastic matrix. Show that M + I is positive

Can someone please help me with this exam question? Let M be a symmetric positive stochasticmatrix. Show that M + I is positive definite.
12. ### Question about percentage change involving negative and positive numbers

It's not possible to quantify a percentage change if one of the values is negative, correct? \frac{x_{2}-x_{1}}{x_{1}} Where x_1 is the beginning value, and x_2 is the ending value. As an example, my bank account started the month with 100, and ended the month with -15, or vice versa. There...
13. ### positive indication that a large

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14. ### Prove that x^n+y^n is divisible by x+y for any positive odd integer n (INDUCTION?)

I'm trying to prove that xn+yn is divisible by (x+y), when x and y are integers, and n is a positive, odd integer. I previously proved that xn-yn was divisible by (x-y) with induction, so I figured a similar method would make sense here, but I end up going in circles... this is what I tried...
15. ### Can flux be negative even when told to take positive orientation?

In my class we will always deal with flux over a region S such that any normal vector on the surface points outwards, meaning that the flux is positive. Does that mean that if I get a negative answer,I can just take the absolute value of it and get positive orientation? Or is it possible to...
16. ### Positive and negative measures

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17. ### Find the Difference between Positive and Negative Numbers.Result Needs to be Positive

I'm trying to find an equation to find the difference between two numbers, and have the result be positive regardless of whether the result is negative or positive. For example, if X = 600 and Y = 300 then the difference would be 300 using X - Y, however if X = -600 and Y = -300 then the...
18. ### How do I find the divisors of a positive integer?

I've read many sites that try to explain how to find all the divisors of a positive integer but none of them seem to make sense. I know there's some sort of formula that can be used. I need to know this to answer one of my questions in my homework. Any help is greatly appreciated (Happy) The...
19. ### Find the number of pairs (x,y) of positive integers which satisfy the equation x+2y=n

Let n be an odd integer >=5. 1) Find the number of pairs (x,y) of positive integers which satisfy the equation x+2y=n. 2) Find the number of triples (x,y,z) of positive integers which satisfy the equation x+y+2z=n. Anyone can help me? Thanks in advance.
20. ### Pigeon Hole Principle - proof of d as a positive integer

Let d be a positive integer and consider any set A of d+1 positive integers. Show that there exists two different numbers x,y ϵ A so that x mod d = y mod d and x=/=y. I know I have to use the pigeon hole principle but I'm having trouble with it still. Help would be great.