Determine the x-y coordinates of the points where the following parametric equations will have horizontal or vertical tangents x=t^3-3ty=3t^2-9

Nann 2021-09-12 Answered
Determine the x-y coordinates of the points where the following parametric equations will have horizontal or vertical tangents x=t33t
y=3t29
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Expert Answer

Szeteib
Answered 2021-09-13 Author has 102 answers
x=t33t
y=3t29
dydx=6t3t23
for horizontal tangent dydx=0t=0,P(0,9)
For verticle tangent dydx=otdydx=10
6t3t23=10t=±1
P(2,6)ϕ(2,6)
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