Sinead Mcgee
2021-02-18
Answered

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jlo2niT

Answered 2021-02-19
Author has **96** answers

False.

Heres

Heres

asked 2021-09-07

Solve the following system of linear equations

asked 2021-06-22

Solve the following equations and inequalities for x.

$2(x-3)>4$

asked 2021-01-22

Explain how to complete the square for an expression of the form

Add ? to

asked 2021-09-16

Find an expression for the function whose graph is the given curve. The line segment joining the points

asked 2022-06-15

How to divide solutions of system of ODE

$\begin{array}{r}{F}_{1}^{\prime}=a{F}_{1}+b{F}_{2}\\ {F}_{2}^{\prime}=-b{F}_{1}+c{F}_{2}\end{array}$

for which I know the solutions of ${F}_{1}$ and ${F}_{2}$ as sums of exponential of eigenvalues. My question is can I find an ODE for $z={\displaystyle \frac{{F}_{1}}{{F}_{2}}}$. I want this so that I can find the following integral

${\int}_{{t}_{0}}^{t}{\displaystyle \frac{{F}_{1}(s)}{{F}_{2}(s)}}ds$

explicitly.

$\begin{array}{r}{F}_{1}^{\prime}=a{F}_{1}+b{F}_{2}\\ {F}_{2}^{\prime}=-b{F}_{1}+c{F}_{2}\end{array}$

for which I know the solutions of ${F}_{1}$ and ${F}_{2}$ as sums of exponential of eigenvalues. My question is can I find an ODE for $z={\displaystyle \frac{{F}_{1}}{{F}_{2}}}$. I want this so that I can find the following integral

${\int}_{{t}_{0}}^{t}{\displaystyle \frac{{F}_{1}(s)}{{F}_{2}(s)}}ds$

explicitly.

asked 2022-04-22

How does the DISCRIMINANT really work?

I have the following equation (depended on param a)

$({a}^{2}-2a){x}^{2}+2ax-1=0$

I want to find out what the behavior of this equation after changing the value (by behavior I mean finding out how will the root count change when I put x or y instead of a). So for that purpose I thought it might be useful to find the D. If i'm not wrong when we have$b=2k$ , then we can simply use this formula:

$D={k}^{2}-ac={a}^{2}+({a}^{2}-2a)=2{a}^{2}-2a=2a(a-1)$

so after having this done, I thought maybe I can find out where my equation has only 1 root:

$2a(a-1)=0,a=0,1$

but after putting for example$a=0$ , I quickly noticed that there my equation has no roots(real roots I think).

$a=0,-1=0\Rightarrow x\in \mathrm{\varnothing}$

Can someone explain me what I've missed here? Shouldn't$a=0$ , work just fine (I mean give me only 1 root)?

I have the following equation (depended on param a)

I want to find out what the behavior of this equation after changing the value (by behavior I mean finding out how will the root count change when I put x or y instead of a). So for that purpose I thought it might be useful to find the D. If i'm not wrong when we have

so after having this done, I thought maybe I can find out where my equation has only 1 root:

but after putting for example

Can someone explain me what I've missed here? Shouldn't

asked 2022-05-21

System of Linear Inequalities to create feasible solution $y=min({x}_{1},{x}_{2})$

The question is ${L}_{1}\le {x}_{1}\le {U}_{1}$,...,${L}_{n}\le {x}_{n}\le {U}_{n}$. Can we introduce decision variables and define a system of mixed-integer linear inequalities whose feasible solution is $y=min({x}_{1},...,{x}_{n})$?

The question is ${L}_{1}\le {x}_{1}\le {U}_{1}$,...,${L}_{n}\le {x}_{n}\le {U}_{n}$. Can we introduce decision variables and define a system of mixed-integer linear inequalities whose feasible solution is $y=min({x}_{1},...,{x}_{n})$?