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3 years ago

What is the amplitude of the sinusoidal function?

Mathematics

1 answer:

weeeeeb [17]3 years ago

8 0

Answer:

Amplitude = 3

Step-by-step explanation:

The amplitude of a sinusoidal function is HALF of the difference between MAX and MIN points of the graph.

The graph shown isn't centered at x-axis. Now, we look where the maximum point is. Each unit of graph is "1" units.

The max point is at y = 1

Now, we look for minimum point. Thus,

the min point is at y = -5

The vertical distance is:

1 - (-5) = 1 + 5 = 6 units

The amplitude is HALF of this vertical distance, so

Amplitude = 6/2 = 3

Amplitude = 3

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Jerry was using matrices to solve the system of three equations. He has shown all his steps. Did he make a mistake if so in what

melomori [17]

There are several ways to solve a system of equation; one of these ways is the use of matrix.

<em>Jerry made a mistake at step 2</em>

From the attachment, the step 1 is represented as:

$\mathbf{\frac 12R_1 \left[\begin{array}{cccc}1&1&1&0\\5&3&-2&-4\\3&2&1&1\end{array}\right] }$

The equation in step 2 is given as:

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This means that:

We subtract the elements of row 2 from the elements of row 1, multiplied by 5

So, we have:

$\mathbf{R_2 = 5\left[\begin{array}{cccc}1&1&1&0\end{array}\right] } - \left[\begin{array}{cccc}5&3&-2&-4\end{array}\right] }$

Expand

$\mathbf{R_2 = \left[\begin{array}{cccc}5&5&5&0\end{array}\right] } - \left[\begin{array}{cccc}5&3&-2&-4\end{array}\right] }$

Subtract corresponding cells

$\mathbf{R_2 = \left[\begin{array}{cccc}0&2&7&4\end{array}\right] }$

So, the new row 2 elements should be:

$\mathbf{ \left[\begin{array}{cccc}0&2&7&4\end{array}\right] }$

However, the row 2 elements of Jerry's steps are:

$\mathbf{R_2 = \left[\begin{array}{cccc}0&-2&-7&-4\end{array}\right] }$

This means that:

Jerry made a mistake; and the mistake is at step 2

Read more about matrix at:

brainly.com/question/21848291

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