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:
03%
Step-by-step explanation:
In this situation Mickey should have drew first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.
Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore required probability is P(A∩B)=P(A)*P(B)
Now, there are 13 diamonds and 39 other cards. Hence,
P(A)=()⁷=0.1335
After drawing 7 non-diamond cards, the 8th card must be a diamond.Hence,
P(B)==0.25
Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)
Therefore probability that Mickey will draw her first diamond on the 8th
attempt is 3%