4enevi
2022-10-21
Answered

Write the equation in point slope form given (-1, -2), perpendicular to y = -3x + 3

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Dana Simmons

Answered 2022-10-22
Author has **14** answers

We have a given point $({x}_{1},{y}_{1})=(-1,-2)$ and the line is suppose to contain this point with a slope $m=-\frac{1}{-3}=\frac{1}{3}$

point slope form: $(y-{y}_{1})=m(x-{x}_{1})$

$y--2=\frac{1}{3}(x--1)$

point slope form: $(y-{y}_{1})=m(x-{x}_{1})$

$y--2=\frac{1}{3}(x--1)$

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Find the linear approximation of the function

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Do the equations

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An ice cream company reported a net profit of $24,000 in 2002 and a net loss of $11,000 in 2003. How much did the company‘s profits change from 2002 to 2003?

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How to solve this linear pde for $y(x)$ (other functions are known and $\lambda $ is a constant):

$\frac{d}{dx}(g(x){y}^{\prime}(x))={\lambda}^{2}g(x)y(x)$

Everything I know about this equation is that it is called the Sturmian equation. I did some research, but the theory, which is for a more general form of the equation, is too hard for me to understand.

$\frac{d}{dx}(g(x){y}^{\prime}(x))={\lambda}^{2}g(x)y(x)$

Everything I know about this equation is that it is called the Sturmian equation. I did some research, but the theory, which is for a more general form of the equation, is too hard for me to understand.

asked 2022-02-24

I already know how the set of solutions of system of linear equations over real numbers infinite field $PP$ is expressed.

When there is only single solution then it is just a vector of scalars, where each scalar is a real number.

When there are more than 1 solution, and actually infinite solutions, then it is just a parametric linear vector space in the form:$\mathrm{\forall}t\in \mathbb{R}:\overrightarrow{p}+\overrightarrow{v}\cdot t$ where $\overrightarrow{p}\in {\mathbb{R}}^{n}l{\textstyle \phantom{\rule{1em}{0ex}}}\text{and}{\textstyle \phantom{\rule{1em}{0ex}}}\overrightarrow{v}\in {\mathbb{R}}^{n}$ where n denotes the number of real variables in each linear equation thus $n\in \mathbb{N}$

But my question is how the set of solutions of system of linear equations over the finite field$\mathbb{Z}}_{2$ or galois field GF(2) is expressed?

I already know that when there is only single solution then it is also just a vector of scalars, but where each scalar is a binary number either zero or one in$\mathbb{Z}}_{2$ where $\mathbb{Z}}_{2}=\{0,1\$ , but when there are more than 1 solution, but always finite number of solutions, then how are they expressed?

Is this similar to how real solutions are expressed by parametric linear vector space by modulo 2? Or something else? I don't know. I am trying to google the answer for this question for days but I don't find the answer anywhere. It seems like nobody talks about this topic.

How?

When there is only single solution then it is just a vector of scalars, where each scalar is a real number.

When there are more than 1 solution, and actually infinite solutions, then it is just a parametric linear vector space in the form:

But my question is how the set of solutions of system of linear equations over the finite field

I already know that when there is only single solution then it is also just a vector of scalars, but where each scalar is a binary number either zero or one in

Is this similar to how real solutions are expressed by parametric linear vector space by modulo 2? Or something else? I don't know. I am trying to google the answer for this question for days but I don't find the answer anywhere. It seems like nobody talks about this topic.

How?

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