Question
Asked Dec 9, 2019
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Give the parametric curve:

x = t3-6t2

y = t2-4t

Does every horizontal line intersect the curve? Does every vertical line intersect the curve? Explain shortly.

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Expert Answer

Step 1

Given: the parametric curve:

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x =r - 6r = t y =t 4t

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Step 2

The graph of the given parametric curve is given below:

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20 15 10 (t from -2.995 to 6.995) -80 -60 -40 -20 20 40 -5-

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Step 3

Calculatio...

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x = t – 6t? This is a polynomial. so this is true for all real value. That is x e (-0,). So, Every vertical line intersects the curve.

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Tagged in

Math

Calculus