To identify: The conic represented by the following polar equation and

Tazmin Horton

Tazmin Horton

Answered question

2021-08-14

To identify:
The conic represented by the following polar equation and graph it by using the graphing utility:
r=84+3sinθ

Answer & Explanation

lamanocornudaW

lamanocornudaW

Skilled2021-08-15Added 85 answers

Step 1
Formula used:
The conics sections of polar form r=ep1±cosθ or r=ep1± esinθ are said to be:
Parabola if e=1
Ellipse if e<1
Hyperbola if e>1
The given polar equation is:
r=84+3sinθ
Compared it with the standard equation of the polar form of a conic r=ep1± esinθ
Get that: e=34<1
So, here the eccentricity is equal to one e<1, so the polar equation represents ellipse.
Graph for the given function is:
image

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