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abruzzese [7]
2 years ago
13

What slope is perpendicular to: m = 58

Mathematics
1 answer:
Lilit [14]2 years ago
5 0

Answer:

1/ -58

Step-by-step explanation:

Perpendicular lines are the negative reciprocal.

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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
2 years ago
Ben has a rectangular area 9 meter long and 5 meters wide he wants a fence that will go around it as well as grass sod to cover
fgiga [73]

I think the answer is A.

6 0
2 years ago
Millimeters<br> Equal 15 centimeters 4 millimeters
Svetradugi [14.3K]

154mm

we know that  1cm = 10 mm

 therefore      15cm= 10*15 mm

                               =  150 mm

and 4 mm

we get total mm= 15cm +4mm

                          = 150mm+4mm

                           = 154 mm                  

mm stands for millimeters and cm stand for centimeters

learn more of millimeter here brainly.com/question/25862563

#SPJ9

5 0
11 months ago
Maya shaved her head and then began letting her hair grow. She represents the length l of her hair, in
Drupady [299]
B

For example if it has been 2 months (l=1.25 times 2) the length would be 1.5 cm
3 0
3 years ago
Please give me the correct answer ​
Ronch [10]

Answer:

I believe it's the last one.

8 0
2 years ago
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