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Identify Any Points at Which the Folium of Descartes x=8t1+t3,y=8t21+t3 is not x = \frac { 8 t } { 1 + t ^ { 3 } } , y = \frac { 8 t ^ { 2 } } { 1 + t ^ { 3 } } \text { is not }

Question 49

Multiple Choice

Identify any points at which the Folium of Descartes x=8t1+t3,y=8t21+t3 is not x = \frac { 8 t } { 1 + t ^ { 3 } } , y = \frac { 8 t ^ { 2 } } { 1 + t ^ { 3 } } \text { is not } smooth. Round your answer to two decimal places, if necessary.


A) not smooth when t=1.00t = - 1.00
B) not smooth when t=0t = 0
C) not smooth when t=2.67,2.67t = 2.67 , - 2.67
D) smooth everywhere
E) not smooth when t=2.67t = 2.67

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