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Juli2301 [7.4K]

3 years ago

12

How do I translate the verbal phrase into an inequality all real numbers that are less than or equal to -3 and greater than or e

qual to -8?

1 answer:

Assoli18 [71]3 years ago

3 0

Go to this website it should help you http://www.mathx.net/inequalities/

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Write the given differential equation in the form L(y) = g(x), where L is a linear differential operator with constant coefficie

melamori03 [73]

Answer:

The complete solution is

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

Step-by-step explanation:

Given differential equation is

3y"- 8y' - 3y =4

The trial solution is

$y = e^{mx}$

Differentiating with respect to x

$y'= me^{mx}$

Again differentiating with respect to x

$y''= m ^2 e^{mx}$

Putting the value of y, y' and y'' in left side of the differential equation

$3m^2e^{mx}-8m e^{mx}- 3e^{mx}=0$

$\Rightarrow 3m^2-8m-3=0$

The auxiliary equation is

$3m^2-8m-3=0$

$\Rightarrow 3m^2 -9m+m-3m=0$

$\Rightarrow 3m(m-3)+1(m-3)=0$

$\Rightarrow (3m+1)(m-3)=0$

$\Rightarrow m = 3, -\frac13$

The complementary function is

$y= Ae^{3x}+Be^{-\frac13 x}$

y''= D², y' = D

The given differential equation is

(3D²-8D-3D)y =4

⇒(3D+1)(D-3)y =4

Since the linear operation is

L(D) ≡ (3D+1)(D-3)

For particular integral

$y_p=\frac 1{(3D+1)(D-3)} .4$

$=4.\frac 1{(3D+1)(D-3)} .e^{0.x}$ [since $e^{0.x}=1$ ]

$=4\frac{1}{(3.0+1)(0-3)}$ [ replace D by 0 , since L(0)≠0]

$=-\frac43$

The complete solution is

y= C.F+P.I

$\therefore y= Ae^{3x}+Be^{-\frac13 x}-\frac43$

4 0

3 years ago

What is the answer to this ? <br><br> 1.39×2

wariber [46]

Answer:

The answer is 2.78

Step-by-step explanation:

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3 years ago

<img src="https://tex.z-dn.net/?f=pi%20value%20%20" id="TexFormula1" title="pi value " alt="pi value " align="absmiddle" class

Monica [59]

Answer:

≈ 3.14

Step-by-step explanation:

π, or pi, is an irrational number. We mathmaticians round it to 3.14.

4 0

3 years ago

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Marcus is trying to make a rectangular picture frame from wood. He nails together two 10-inch pieces of wood and two 8-inch piec

wariber [46]

Answer:

Step-by-step explanation:

You have right triangles, so use the Pythagorean Theorem

x = length of diagonal

8² + 10² = x²

164 = x²

x = √164 = 2√41 ≅ 12.8 in

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3 years ago

Which shows the use of the associative property?

irina1246 [14]

Answer:

The Second One or B. You were correct.

Step-by-step explanation:

The associative property is when the numbers of an equation stay the same, but the parentheses move.

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