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VLD [36.1K]
3 years ago
9

Consider the parameterization of the unit circle given by x=cos(3t^2-t), y=sin(3t^2-t) for t in (-infinity, infinity). Describe

in words and sketch how the circle is traced out, and use this to answer the following questions.
(a) When is the parameterization tracing the circle out in a clockwise direction? _________?

(Give your answer as a comma-separated list of intervals, for example, (0,1), (3,Inf)). Put the word None if there are no such intervals.
(b) When is the parameterization tracing the circle out in a counter-clockwise direction? ______?
(Give your answer as a comma-separated list of intervals, for example, (0,1), (3,Inf)). Put the word None if there are no such intervals.
(c) Does the entire unit circle get traced by this parameterization?
A. yes
B. no
(d) Give a time t at which the point being traced out on the circle is at (10):
t= ___________?

Mathematics
1 answer:
PtichkaEL [24]3 years ago
3 0

Answer and Step-by-step explanation:

The answer is attached below

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Suppose that six guests check their hats when they arrive at the Cigar Parlor and that these hats are returned randomly when the
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Answer:

0.1667

Step-by-step explanation:

There are 6! ways to arrange the hats. The number of ways for which no guest will receive the proper hat is 5! (since there are 5 wrong hats for the first guest, 4 for the second guest, and so on). The probability that no guest will receive the proper hat is:

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Which statements are true based on the diagram? Check all that apply.
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First statement: False. Points K, M and N form a triangle.
Second statement: True. Points J, K, and Q are on the same line.
Third statement: False. KN and MQ intersect at N, not at R.
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99,000 equals how much tens
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A yacht that travels 1.375 km in 165 minutes expressed in km/h
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The speed of a yacht traveling a distance of 1.357 km in 165 minutes is 0.5 km/h

<h3>What is Speed?</h3>

The speed of an object is the distance covered by the object in respect to time.

Mathematically:

\mathbf{Speed = \dfrac{distance}{time}}

\mathbf{Speed = \dfrac{1.375 \ km}{165 minutes }}

  • We know that 60 minutes = 1 hour
  • 165 minutes = 2.75 hours

\mathbf{Speed = \dfrac{1.375 \ km}{2.75 \ hours}}

Speed = 0.5 km/hour

Learn more about calculating speed here:

brainly.com/question/4931057

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