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3 years ago

This is hard and I need some help

Mathematics

1 answer:

aliina [53]3 years ago

4 0

Answer:

Step-by-step explanation:

Answer attached.

Hope it helps ^_^

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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

PLEASE HELP I HAVE 20 MINS TO TURN THIS IN AND I HAVE 3 QUESTIONS LEFT:

dlinn [17]

The answer is 360 miles since he can drive 60 miles per hour so just multiply 60x6 and your answer is 360

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2 years ago

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JUST THE FIRST PART NOT THE DRAWING IM BEGGING AT THIS POINT

Butoxors [25]

Answer:

75 (.2)= 15

75-15=60

The small bag cost $60.

Step-by-step explanation:

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3 years ago

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Equations using shapes need the answers and also worked out please help

hammer [34]

Hmm. Try counting the side of the shape and add the sides. Using the sides as numbers you may be able to solve the problem.

8 0

3 years ago

I have no idea what to do I missed an entire lesson while I was in the hospital. Help please. I need to show my work as well.

Vlada [557]

Answer:

Step-by-step explanation:

$\sqrt[3]{\frac{n}{4} } +\frac{n}{10} \\\\\sqrt[3]{\frac{500}{4} } +\frac{500}{10}\\\\\sqrt[3]{125} +50\\5+50\\55$

3 0

3 years ago