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3 years ago

PLEASE HELP ME im not sure which ones i think its the first one but not sure about the rest

Mathematics

1 answer:

kodGreya [7K]3 years ago

8 0

Answer:

It’s the first and the third one

Step-by-step explanation:

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D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

3 years ago

I need with #10, please?

777dan777 [17]

Answer:

h=7ft

Step-by-step explanation:

sinФ=opposite/hypotenuse

sin45°=5/h

0.71=5/h

multiply via by h

0.71h=(5/h)h

h cancel h it remains 5

0.71h=5

divide through by 0.71

0.71h/0.71=5/0.71

h=7.04ft

h=7ft approximately

4 0

3 years ago

7x + 2y=24 8x + 2y=30

Bumek [7]

Answer:

x=6 y=-9

Step-by-step explanation:

Layer the equations on each other as you would in a subtraction problem:

8x + 2y=30

7x + 2y=24

Subtract the equation just like you would normally. This should leave 1x=6 or x=6.
Now that you have your x value, plug it in as x for one of the equations. For the 2nd equation, this leaves:

42+2y=24 then

2y=-18 then

y=-9

Double check your y value by plugging x=6 into the first equation. This should also leave y=-9.

3 0

3 years ago

7. Patrick tosses a penny and a number cube, with faces numbered 1 through 6, at the

lions [1.4K]

Answer:

B. 1/3 or 33.3%

Step-by-step explanation:

H- 1 ,2 ,3, 4, 5, 6

T- 1, 2, 3, 4, 5, 6

Multiples of 3: 3, 6, 9, 12, etc..

2/6 simplified is 1/3

So, the probability that the penny will land on heads and the number cube will land on a multiple of 3, is 1/3 or 33.3%

7 0

3 years ago

Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below.

Roman55 [17]

ANSWER

B' has coordinates (16,14).

EXPLANATION

The given coordinates of square ABCD are :

A (2,7) , C (8,1),D (2,1)

In order to form a square, the coordinates of B should be: (8,7)

The mapping for dilation with a scale factor 2, about the origin is

$(x,y)\to (2x,2y)$

This implies that:

$B(8,7)\to B'(2 \times 8,2 \times 7)$

When we simplify we get:

$B(8,7)\to B'(16,14)$

Hence B' has coordinates (16,14).

4 0

3 years ago