Find if there was a mistake in the students work.
2 answers:
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Answer:
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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