A recipe for 12 cupcakes uses 2/3 cups of sugar. The number of cupcakes is directly proportional to the amount of sugar. How man
2 answers:
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Answer:
Horizontal tangent
(x, y) = (1, 0)
Vertical tangent
(x, y) = DNE
Step-by-step explanation:
The equation for the slope (m) of the tangent line at any point of a parametric curve is:
Where and
are the first derivatives of the horizontal and vertical components of the parametric curves. Now, the first derivatives are now obtained:
and
The equation of the slope is:
As resulting expression is a linear function, there are no discontinuities and for that reason there are no vertical tangents. However, there is one horizontal tangent, which is:
The point associated with the horizontal tangent is:
The answer is:
Horizontal tangent
(x, y) = (1, 0)
Vertical tangent
(x, y) = DNE