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

Question

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!

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Margaret 1 month 2021-09-12T04:55:08+00:00 1 Answer 0

Answers ( )

    0
    2021-09-12T04:56:11+00:00

    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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