3 years ago

4.

Mathematics

1 answer:

DaniilM [7]3 years ago

3 0

It’s gonna be 7(8+3) you use distributive property so it’ll be the same as 56+21

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Use a graphing utility to graph the function and the damping factor of the function in the same viewing window.

Bas_tet [7]

Answer:

The function touches the damping factor

at x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

The x-intercept of f(x) is

at x= $n\pi$

Step-by-step explanation:

Given function is f(x)= $e^{-3x} sin(x)$ and damping factor as y= $e^{-3x}$ and y= $(-1)e^{-3x}$

To find when function touches the damping factor:

For f(x)= $e^{-3x} sin(x)$ and y= $e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=e^{-3x}$

$sin(x)=1$

x= $\frac{(4n-3)\pi}{2}$

For f(x)= $e^{-3x} sin(x)$ and y= $(-1)e^{-3x}$

Equating the both the equation,

$e^{-3x} sin(x)=(-1)e^{-3x}$

$sin(x)=(-1)$

x= $\frac{(4n-1)\pi}{2}$

Therefore, The function touches the damping factor x= $\frac{(4n-3)\pi}{2}$ and x= $\frac{(4n-1)\pi}{2}$

To find x-intercept of f(x):

For x-intercept, y=0

f(x)= $e^{-3x} sin(x)$

y= $e^{-3x} sin(x)$

$e^{-3x} sin(x)=0$

Hence, $e^{-3x}$ is always greater than zero.

Therefore, $sin(x)=0$

x= $n\pi$

Thus,

The x-intercept of f(x) is at x= $n\pi$

7 0

3 years ago

Taylor earned $48 for 6 hours of babysitting and $68 for 8.5 hours of babysitting. How long would she have to babysit to earn $3

ZanzabumX [31]

48÷6=$8 per hour
So
32÷8=4 hours

6 0

3 years ago

How can you tell that a line segment connecting two points is vertical without graphing the points

pogonyaev

They are intersecting lines if they are not parallel so the other option is that they are intersecting.<span />

4 0

3 years ago

Bonnie runs at an average speed 4 metres per second for 240 seconds.

telo118 [61]

Answer:

960 metres in 240 seconds.

Step-by-step explanation:

this is because they can run 4 metres every second.

the number of seconds they ran multiplied by the length of their run in a second is your answer.

240 x 4 = 960

6 0

2 years ago

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Help the smol bean smol bean is stuggling

ruslelena [56]

Im confused can you please clarify?

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3 years ago