uppose that s is the position function of an object, given as s$($t$)=4$t$+3.$ We compute the instantaneous velocity of the object at t$=6$ as follows. Use exact values.

First we compute and simplify s$(6+$h$).$

s$(6+$h$)=27+4$hCorrect $$

Then we compute and simplify the average velocity of the object between t$=6$ and t$=6+$h$.$

s$(6+$h$)-$s$(6)$h $=27+4$h$27$h$$Correct $$

Rationalize the numerator in the average velocity. $($If it applies, simplify again.$)$

s$(6+$h$)-$s$(6)$h $=27+4$h$27$Incorrect $$

The instantaneous velocity of the object at t$=6$ is the limit of the average velocity as h approaches zero.

v$(6)=$limh$0$ s$(6+$h$)-$s$(6)$h $=23$Incorrect $$