Answer:
Vector equation:
![(4 + 6t, 2.1 + 4t, 3.1 - 2t)](https://tex.z-dn.net/?f=%284%20%2B%206t%2C%202.1%20%2B%204t%2C%203.1%20-%202t%29)
Parametric equations:
![x(t) = 4 + 6t](https://tex.z-dn.net/?f=x%28t%29%20%3D%204%20%2B%206t)
![y(t) = 2.1 + 4t](https://tex.z-dn.net/?f=y%28t%29%20%3D%202.1%20%2B%204t)
![z(t) = 3.1 - 2t](https://tex.z-dn.net/?f=z%28t%29%20%3D%203.1%20-%202t)
Step-by-step explanation:
The line is parallel to the vector 3i + 2j − k.
So the vector of this line is a multiple of this vector, so i will use 6i + 4j - 2k.
The line goes through the point (4, 2.1, 3.1).
So the parametric equations are:
![x(t) = 4 + 6t](https://tex.z-dn.net/?f=x%28t%29%20%3D%204%20%2B%206t)
![y(t) = 2.1 + 4t](https://tex.z-dn.net/?f=y%28t%29%20%3D%202.1%20%2B%204t)
![z(t) = 3.1 - 2t](https://tex.z-dn.net/?f=z%28t%29%20%3D%203.1%20-%202t)
The vector equation is:
![(4 + 6t, 2.1 + 4t, 3.1 - 2t)](https://tex.z-dn.net/?f=%284%20%2B%206t%2C%202.1%20%2B%204t%2C%203.1%20-%202t%29)
The interval for the function to be negative will be (-∞<x<-7).
<h3>What is a function?</h3>
A function in mathematics set up a relatioship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.
Here we have a function:-
g(x) = ∛(x+6)
If we put the value of x lesser than 6 in the function we will always get a negative value so the interval will be:-
(-∞<x<-7).
Therefore interval for the function to be negative will be (-∞<x<-7).
To know more about function follow
brainly.com/question/2833285
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Answer:
the answer is c
Step-by-step explanation:
Answer: x < 8
Step-by-step explanation: