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Lisa [10]
3 years ago
15

Help me! I need a better explanation!

Mathematics
1 answer:
jonny [76]3 years ago
6 0
1) Those are polar coordinates

2) The expression inside cosine is the angle of the vector to be drawn

3) r is the length of the vector to be drawn.

For example:

- if you take angle =0 and r results to be =2, it means that you have to put a point over the x-axis at a distance of two units from the origin.

4) You have to look for notable values, like points on the axis and notable angles (0, 45°, 90°, 180 °,...)

5) Use derivation to find maximum and minimum values. 

6) The graph of this function looks like the infinite symbol: ∞

7) Some notable points are: (0,0) ; (0,2) ; (0, - 2)

See attached the complete graph as a reference.




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Consider the square root function f(x) = sqrt x + 2 + 1 to complete the table of values below. find each missing value and then
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Given the function :

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So, there is no value for f(x) at x = -3 (the function undefined because the square root of -1)

\begin{gathered} x=-2\rightarrow f(x)=\sqrt[]{-2+2}+1=\sqrt[]{0}+1=0+1=1 \\  \\ x=-1\rightarrow f(x)=\sqrt[]{-1+2}+1=\sqrt[]{1}+1=1+1=2 \\  \\ x=2\rightarrow f(x)=\sqrt[]{2+2}+1=\sqrt[]{4}+1=2+1=3 \\  \\ x=7\rightarrow f(x)=\sqrt[]{7+2}+1=\sqrt[]{9}+1=3+1=4 \end{gathered}

the graph of the function and the points will be as shown in the following image :

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