amanf
2021-03-07
Answered

What is the difference between a system of linear equations and a system of nonlinear equations?

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Clelioo

Answered 2021-03-08
Author has **88** answers

System of linear equations is a collection of equations in which each equation in the system represents a straight ilne, that is the equations of degree 1( linear).

On the other hand, a nonlinear system of equations is a collection of equations that may contain some equations of a line, but not all of them.

For example,

$\{\begin{array}{c}x+y=5\\ 3x+4y=2\end{array}\to$ system of linear equations.

$\{\begin{array}{c}x+y=1\\ y+{x}^{2}-5\end{array}\to$ system of non - linear equations.

On the other hand, a nonlinear system of equations is a collection of equations that may contain some equations of a line, but not all of them.

For example,

asked 2020-10-18

Find a least squares solution of Ax=b by constructing and solving the normal equations.

$A=\left[\begin{array}{cc}3& 1\\ 1& 1\\ 1& 4\end{array}\right],b\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right]$

$\stackrel{\u2015}{x}=$ ?

asked 2021-05-13

A movie stuntman (mass 80.0kg) stands on a window ledge 5.0 mabove the floor. Grabbing a rope attached to a chandelier, heswings down to grapple with the movie's villian (mass 70.0 kg), whois standing directly under the chandelier.(assume that thestuntman's center of mass moves downward 5.0 m. He releasesthe rope just as he reaches the villian).

a) with what speed do the entwined foes start to slide acrossthe floor?

b) if the coefficient of kinetic friction of their bodies withthe floor is 0.250, how far do they slide?

asked 2022-07-29

1. 5a+4(3a-8)= 4+13a

2. 2y+18=12-6(y+7)

and

3. -x-(13+14x)=-3(5-9x)+2

2. 2y+18=12-6(y+7)

and

3. -x-(13+14x)=-3(5-9x)+2

asked 2022-07-12

Find the value of K. Use of l Hospital's rule and expansion is not allowed.

Let $f(x)={\mathrm{log}}_{cos3x}(\mathrm{cos}2ix)$ if $x\ne 0$ and $f(0)=k$ where ($i$= iota) is continuous at $x=0$, then find the value of $K$. Use of l Hospital's rule and expansion is not allowed.

Let $f(x)={\mathrm{log}}_{cos3x}(\mathrm{cos}2ix)$ if $x\ne 0$ and $f(0)=k$ where ($i$= iota) is continuous at $x=0$, then find the value of $K$. Use of l Hospital's rule and expansion is not allowed.

asked 2022-01-20

Closed form for the partial sum $\sum _{k=1}^{n}\frac{\mathrm{ln}k}{k}$

asked 2021-12-07

Solve the system Ax = b using the given LU factorization of A

$$A=\left[\begin{array}{cc}-2& 1\\ 2& 5\end{array}\right]=\left[\begin{array}{cc}1& 0\\ -1& 1\end{array}\right]\left[\begin{array}{cc}-2& 1\\ 0& 6\end{array}\right],b=\left[\begin{array}{c}5\\ 1\end{array}\right]$$

asked 2021-12-09

Write a polynomial function $f$`f` of least degree that has rational coefficients, a leading coefficient of 1, and the given zero(s).

$-2,\ 3,\ 6$