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SVEN [57.7K]
3 years ago
14

Can someone help me with this

Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0
To solve this, set up a proportion. 72/21.6=110/x Cross multiply. 72x=2376. Solve x=33
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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
For a class trip, 114 students are put on for buses. At this rate, how many students would be on eight buses?
balu736 [363]
The answer is 228 students
7 0
3 years ago
Read 2 more answers
To plot the point (5, -3) you would move up 5, then left 3.<br><br> True<br><br> False
frozen [14]

Hey there! :)

Answer:

False.

Step-by-step explanation:

In a point, the coordinates are in the format:

(x, y).

In this instance, x = 5 and y = -3. This means that to plot the point, you would need to:

Move right 5, down 3.

8 0
3 years ago
Read 2 more answers
GIVING BRAINLIST IF YOU HELP FAST!<br><br> What is the value of x?<br> Enter your answer in the box.
slamgirl [31]
The answer to the equation is X= 27
3 0
3 years ago
Simplify the exoression (x^3-5x^2+7x-12)÷(x-4)<br>​
kiruha [24]

Answer:

x^2-x+3

Step-by-step explanation:

You factor it out which would then make it

(x-4)(x^2-x+3)/x-4

Then you cancel out the common factor, x-4

which leaves you with x^2-x+3

4 0
3 years ago
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