ANSWER

EXPLANATION
Part a)
Eliminating the parameter:
The parametric equation is


From the first equation we make t the subject to get;


We put it into the second equation.


We differentiate to get;

At x=5,


The slope of the tangent is 2.
The equation of the tangent through
(5,6) is given by




Without eliminating the parameter,



At x=5,



This implies that,

The slope of the tangent is 2.
The equation of the tangent through
(5,6) is given by



The question is an illustration of sample and population, and the estimate of the population of squirrel in the park is 55
<h3>How to determine the population of squirrel?</h3>
The given parameters are:
Marked squirrels = 43
Captured squirrels = 50
Of the 50 captured squirrels, 38 are from the marked squirrels.
This means that the number of unmarked squirrels is:
Unmarked = 50 - 38
Evaluate
Unmarked = 12
The population of the squirrel is then calculated using:
Population = Marked + Unmarked
So, we have:
Population = 43 + 12
Evaluate the sum
Population = 55
Hence, the estimate of the population of squirrel in the park is 55
Read more about population at:
brainly.com/question/7301139
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Answer:

Step-by-step explanation:
We are supposed to write an inequality to determine the number of hot dogs per minute Joey must eat for the last 9 minutes to break his record.
Let d represent the number of hot dogs Joey eats per minute for the next 9 minutes.
We have been given that after 1 minute, Joey has eaten
hot dogs.
Hot dogs eaten in next 9 minutes would be 9 times d that is
.
Total hot dogs eaten by Joey would be hot dogs eaten in 1 minute plus next 9 minutes:
.
Since to break the record Joey needs to eat more than 72 hot dogs. We can represent this information in an inequality as:

Therefore, our required inequality would be
.
Radius = 6 inches
Arc lenght = 11pi inches
Degrees ?
Arc lenght = radius x angle in radians
A = r * a
Solving for a:
a = A/r = 11pi/6 = 5.759586532 radians
5.759586532 to degrees ==> a = 330 degrees
Answer:
330 degrees