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3 years ago

How many solutions exist for the system of equations below?

Mathematics

2 answers:

Vaselesa [24]3 years ago

6 0

Answer:

Step-by-step explanation:

timurjin [86]3 years ago

5 0

Answer:

0 (None) solutions

Step-by-step explanation:

This Linear System has no Solution. It means that mathematically speaking, whatever value inserted for x, or y this will not result in an equality, i.e. we'll always have a false value. Like this:

$\left\{\begin{matrix}3x+y=18&&\\3x+y=16&&\end{matrix}\right.\Rightarrow 3x+(16-3x)=18\Rightarrow 0x=-2$

FALSE Because $0x\neq-2$ then This Linear System does not have solution.

Geometrically, both equations are parallel lines, so they do not have any common point, i.e. solution. Notice they both have the same slope. Check the graph below.

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suter [353]

Answer:y=

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Step-by-step explanation:

given equation y''+y=secx

auxiliary equation

$p^2+1=0\\p=\pm i$

so CF is y=Acosx+Bsinx

now

$y_1(x)=cosx \ \ \ \ y_2(x)=sinx\\{y_1}'(x)=-sinx \ \ \ \ {y_2}'(x)=cosx$

using wronskian formula

$W=\begin{vmatrix}cosx &sinx \\ -sinx & cosx\end{vmatrix}$

= $cos^2x+sin^2x=1$

now f(x)=secx

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$u=-\int \frac{secx\times sinx}{1}dx \ and \ v=\int \frac{secx\times cosx}{1}dx$

$u=-\int tanx dx \ and \ v=\int {1}dx$

$u=ln(cosx) \ \ \ and \ \ v=x$

now particular integrals are

PI=cosx ln(cosx)+x sinx

total solution

y= C.F+P.I

y=Acosx+Bsinx +cosx ln(cosx)+x sinx

8 0

3 years ago

Please help im getting frustrated with these

Ne4ueva [31]

Look at the remaining trees and the number of oranges they produced.
41790 oranges were produced.
Each tree produced 210 oranges.
The number of remaining trees is 41790/210.
Originally, there we 5 more trees.
The original number of trees is 41790/210 + 5

The equation is
t = 41790/210 + 5

Now we evaluate the right side.
t = 199 + 5
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The original number of orange trees is 204,

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Answer:

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Step-by-step explanation:

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