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4 years ago

Which method will solve this equation completely?

Mathematics

2 answers:

enyata [817]4 years ago

4 0

Answer:

Subtract 16 from both sides, and then divide both sides by-9

Step-by-step explanation:

16 - 9f=47

First subtract 16 from each side

16-16 - 9f=47-16

-9f = 31

Then divide each side by -9

-9f/-9 = 31/-9

f = -31/9

statuscvo [17]4 years ago

3 0

Answer: C

Step-by-step explanation:

The opposite of add is to subtract. Opposite of multiply is to divide.

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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

Paul is making loaves of raisin bread to sell at a fundraising event. The recipe calls for 1\3 cup of raisins for each loaf, and

azamat

39 divided by 4 equals 9 batches with 3/12 raisins left over

3 0

4 years ago

Please help me again

Vikentia [17]

Answer:

y = 10

Step-by-step explanation:

<u>Since all sides are equal, that means all angles are 60 degrees. 60 + 60 + 60 = 180</u>

<u />

5y + 10 - 10 = 60 - 10

5y / 5 = 50 / 5

y = 10

Answer: y = 10

7 0

3 years ago

Please help steps thx

ExtremeBDS [4]

Answer:

240 cubic metres

Step-by-step explanation:

I'm not really sure for Q17 but I do know Q18.

Q18. Volume of cuboid = Length×Breadth×Height

=12×4×5

=240 cubic metres

hope it helps!!!

8 0

3 years ago

This should be easy

Ivanshal [37]

Answer:

Step-by-step explanation:

it's the holy number jesus christ can confirm

8 0

3 years ago

Read 2 more answers