Analyze the graph of the given polar curve. If possible, describe the shape of the graph (circle, rose curve, limacon, etc), and
state the domain, range, and maximum r-value of the graph. State whether the graph is continuous and whether it is bounded. Describe any symmetry the graph has. Give the equations of any asymptotes or state that the graph has no asymptotes. r = 3 - 3cos
1 answer:
Step-by-step explanation:
Given the polar curve
R= 3-3cosϴ (please have a look at the attached photo)
We have some properties of the function are:
- The domain are real numbers <=> ϴ ∈ R
- The shape of the curve is a rose curve
- The range is approximately from -3.9 to 3.9 <=> -3.9 ≤R ≤3.9
=> The maximum value : 3.9
- The graph is symmetrical about the x axis
- The graph is continuous and it is bounded above and below
- The graph has no asymptotes
Hope it will find you well.
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Answer:
B
Step-by-step explanation:
So, to figure this out, we must find the total miles Maria ran in a week.
We know that she ran 2.75 miles each day.
She did this for 7 days.
Her goal was 17.5 miles.
So first, multiply the amount of days by the amount of miles per day:
7*2.75
=
19.25
So now we know that she ran a total of 19.25 miles in a week.
Since she onlu needed to run 17.5 miles, we can instantly rule out:
A - Runs less 17.5 miles
C - Runs exactly 17.5 miles
This leaves:
B - She runs 1.75 miles more than 17.5 miles
D - She runs 2.75 miles more than 17.5 miles
To figure out which on is correct, subtract her total miles by her goal:
19.25-17.5
=
1.75
So we know it must be:
B - She runs 1.75 miles more than 17.5 miles
This is because we figured out she ran an extra 1.75 miles.
Hope this helps! :)
