A group of students organized a car wash for a fundraiser. The students that rate how much money they could earn from washing ca
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Answer:
Step-by-step explanation:
The given parametric equation is;
To eliminate the parameter we make the subject in one equation and put it inside the other.
We make the subject in
because it is easier.
Or
We now substitute this into .
This gives us;
.
.
We have now eliminated the parameter.
The equation of the tangent at (6,4) is given by;
where the gradient function is given by;
We substitute into the gradient function to obtain the gradient.
The equation of the tangent becomes
We simplify to obtain
The given parametric equation is;
For
For
The slope is given by;
At the point, (6,4), we plug in any of the values into the parametric equation and find the corresponding value for .
Notice that
When ,
when ,
But the slope is the same when we plug in any of these values for t.
The equation of the tangent becomes
We simplify to obtain