## For what value of t is the slope of the curve undefined for the graph defined by x = 10 – t2, y = t3 – 12t? Thank you in

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## Answers ( )

Answer:t = 0

Step-by-step explanation:x = 10 − t²

dx/dt = -2t

y = t³ − 12t

dy/dt = 3t² − 12

dy/dx = (3t² − 12) / (-2t)

dy/dx = (12 − 3t²) / (2t)

dy/dx is undefined when the denominator equals 0.

2t = 0

t = 0