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stepladder [879]
3 years ago
7

Riley solved and equation as shown in the table

Mathematics
1 answer:
Mama L [17]3 years ago
6 0
She made the mistake in step 4

She should have divided by -2 not just 2 alone
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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
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true? A. Shape 1 and shape 2 are not
denpristay [2]

Answer:

i think its D.  

A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.

Step-by-step explanation:


5 0
3 years ago
Solve the following quadratic-linear system of equations. y=x^2-x-6 and y=2x-2
Keith_Richards [23]

You can do substitution 2x-2=x^2 -x -6; isolate all terms on one side 0= x^2 -x-2x -6+2; combine like terms x^2 -3x -4=0; factor the quadratic (x-4)(x+1)=0; each term is zero x-4=0 so x=4 and x+1=0 so x=-1. Now, y=2•4-2=6 and y=2•(-1) -2= -4 ; solutions for the system are ( 4,6) and ( -1, -4)

8 0
3 years ago
Read 2 more answers
Identify terms and factors: - 4x + 2x2<br>y​
DedPeter [7]

Answer:

=2x2y−4x

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the domain of the function y = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormula1" title="\sqrt{x}" alt="
tatiyna

Answer:

C is the answer

Step-by-step explanation:

The domain can't be minus. That's the only stipulation. It can be equal to 0 or anything larger than 0. It just can't go into the minus numbers.

0≤x<infinity.

C

4 0
3 years ago
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