How do you estimate the instantaneous rate of

Essence Ingram

Essence Ingram

Answered question

2022-04-15

How do you estimate the instantaneous rate of change for which the door is moving at t=1 second if the equation for an automatic door is d=200t2t?

Answer & Explanation

Colin Collins

Colin Collins

Beginner2022-04-16Added 10 answers

Derive your equation (to get the instantaneous rate of change) and set t=1 in the derivative:
d(t)=2002t+200t[2t(ln(2))]
for t=1
d(1)=2002+200[ln(2)2]=2002[1ln(2)]=30.7

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