SlytherinPrincess8 SlytherinPrincess8

12-05-2020
Mathematics

contestada

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 advance!

Respuesta :

MathPhys MathPhys

12-05-2020

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

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