To calculate: The sections represented by the polar equation displaystyle{r}=frac{18}{{{6}-{6} cos{theta}}} and graph it by the use of graphing utility.

Daniaal Sanchez 2021-03-07 Answered
To calculate: The sections represented by the polar equation r=1866cosθ and graph it by the use of graphing utility.
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Expert Answer

Elberte
Answered 2021-03-08 Author has 95 answers
Step 1
The equation r=1866cosθ is not in standard form as the constant tern in the denominator is not 1.
To obtain 1 as the constant term in the denominator divide the numerator and denominator by 4.
Thus,
r=1866cosθ=31cosθ
The equation r=31cosθ
is in the standard form of r=ep1ecosθ.
On comparing the provided equation to the standard form it can be obtained that e=1.
Since e=1, thus the given polar equation represents a parabola.
Step 2
Now, use Ti-83 to plot the graph of the function:
a) Press the [MODE] key then select the polar function and the radian mode.
b) Press the [Y=] key, then there will appear the equations for y.
c) Enter the equations in r1.
Here, r1=1866cosθ.
d) Press [WINDOW] and then edit the values as:
Xmin=7,Xmax=7,XScale=1,Ymin=7andYScale=1
e) press the [GRAPH] key to plot the graph.
The graph:
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