Question

Which of the following describes $\lim_{h \to 0} \frac{s(2+h) - s(2)}{h}$? The average velocity of the particle over the time interval $[2, 2 + h]$. The velocity of the object at time $t = 2$. The position of the object at time $t = 2$. None of these The length of the time interval $[2, 2 + h]$. The change in position of the object over the time interval $[2, 2 + h]$.

          Which of the following describes $\lim_{h \to 0} \frac{s(2+h) - s(2)}{h}$?
The average velocity of the particle over the time interval $[2, 2 + h]$.
The velocity of the object at time $t = 2$.
The position of the object at time $t = 2$.
None of these
The length of the time interval $[2, 2 + h]$.
The change in position of the object over the time interval $[2, 2 + h]$.

Which of the following describes limh → 0(s(2+h) - s(2))/(h)?
The average velocity of the particle over the time interval [2, 2 + h].
The velocity of the object at time t = 2.
The position of the object at time t = 2.
None of these
The length of the time interval [2, 2 + h].
The change in position of the object over the time interval [2, 2 + h].

Added by Rhonda G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Brian Ketelobeter

03/27/2020

Step 1

Step 1: The expression $$\lim_{h \to 0} \frac{s(2+h)-s(2)}{h}$$ represents the derivative of the function s(t) at t = 2. Show more…

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Which of the following describes $$\lim_{h \to 0} \frac{s(2+h)-s(2)}{h}$$ ? The average velocity of the particle over the time interval [2, 2 + h]. The velocity of the object at time t = 2. The position of the object at time t = 2. None of these The length of the time interval [2, 2 + h]. The change in position of the object over the time interval [2, 2 + h].