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Ahat [919]
3 years ago
15

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

Mathematics
1 answer:
Elza [17]3 years ago
3 0

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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Shkiper50 [21]

Answer:

J    1

   --------

    x^2 -x

Step-by-step explanation:

x+1

----------

x^3-x

Factor out an x in the denominator

x+1

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x(x^2-1)

We can factor the terms in the parentheses because it is a difference of squares

x+1

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x(x-1) (x+1)

Canceling the x+1 terms

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Distribute in the denominator

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7 0
2 years ago
The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What i
In-s [12.5K]

Answer:

8.182X10^8 $pounds

a=8.182 and b=8

Step-by-step explanation:

Weight of the Empire State Building =7.3X 10^8 pounds.

Weight of the One World Trade Center building= 88,200,000 pounds.

=8.82 X 10^7

The addition of the two:

=7.3X 10^8+8.82 X 10^7\\$To make it easier to add, express both as powers of 8\\=7.3X 10^8+0.882 X 10^8\\=(7.3+0.882)X10^8\\=8.182X10^8 $ pounds

Comparing with the form: aX10^b

a=8.182 and b=8

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Answer:

C.(5,5,10)

1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, ... 5, 10, 13, 15, 17, 20, 26, 29, 30, 34, 35, ... 25, 50, 75, 100, 150, 169, 175, 200, 225, ...

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2 years ago
The table displays the number of students in each grade at Richmond High School who will or will not be attending the amusement
Pani-rosa [81]

Answer:

P( eleventh\: \: |\: \: FT)=  0.2453 \\\\P( eleventh\: \: |\: \: FT)=  24.53\% \\\\

Step-by-step explanation:

We are given a joint probability table.

There are four different graders in a school

1. Grade Ninth

2. Grade Tenth

3. Grade Eleventh

4. Grade Twelfth

Field trip refers to the students who will attending the amusement park field trip.

No field trip refers to the students who will not be attending the amusement park field trip.

We want to find out the probability that the selected student is an eleventh grader given that the student is going on a field trip.

P( eleventh\: \: |\: \: FT)= \frac{P( eleventh\: \: and \: \: FT)}{P(FT)}

Where P(eleventh and FT) is the probability of students who are in eleventh grade and will be going to field trip

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Where P(FT) is the probability of students who will be going to field trip

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So the required probability is

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