# 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=200t * 2^(-t)#?

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To estimate the instantaneous rate of change for which the door is moving at t = 1 second, you can calculate the derivative of the equation d = 200t * 2^(-t) with respect to time (t), and then evaluate the derivative at t = 1. This will give you the instantaneous rate of change at that specific point in time.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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