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dem82 [27]
2 years ago
7

State the domain and range for the function (f)x = 2csc (x/2))

Mathematics
1 answer:
NikAS [45]2 years ago
3 0

Step-by-step explanation:

domain XER\{2kπ},kE

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Luba_88 [7]

Answer:

We conclude that:

3\cdot \:2\begin{pmatrix}-2&3&0\\ -4&2&6\\ 6&-5&6\end{pmatrix}=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}

Hence, option B is correct.

Step-by-step explanation:

Given the expression

3\times 2\begin{pmatrix}-2&3&0\\ \:-4&2&6\\ \:6&-5&6\end{pmatrix}

solving

3\times 2\begin{pmatrix}-2&3&0\\ \:-4&2&6\\ \:6&-5&6\end{pmatrix}

Scalar Multiplication: Multiply each of the matrix elements by a scalar

=\begin{pmatrix}3\cdot \:2\left(-2\right)&3\cdot \:2\cdot \:3&3\cdot \:2\cdot \:0\\ 3\cdot \:2\left(-4\right)&3\cdot \:2\cdot \:2&3\cdot \:2\cdot \:6\\ 3\cdot \:2\cdot \:6&3\cdot \:2\left(-5\right)&3\cdot \:2\cdot \:6\end{pmatrix}

Simplify each element

=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}

Therefore, we conclude that:

3\cdot \:2\begin{pmatrix}-2&3&0\\ -4&2&6\\ 6&-5&6\end{pmatrix}=\begin{pmatrix}-12&18&0\\ -24&12&36\\ 36&-30&36\end{pmatrix}

Hence, option B is correct.

5 0
3 years ago
A rectangle has a length of 12 centimeters and a width of 4 centimeters. Find the perimeter.
mamaluj [8]

Answer:


Step-by-step explanation:

Given:

Length (l) = 12 cm

Width (w) = 4 cm

Perimeter of the rectangle = 2(l + w) units

<em>P</em> = 2(12 + 4)

<em>P</em> = 2 (16)

<em>P</em> = 32

<h2><u><em>32 cm</em></u></h2>
4 0
4 years ago
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