Estimate the limit by graphing the function for an appropriate domain. Confirm your estimate by using l'Hopital's rule. Show each step of your calculation.
What will be an ideal response?
Using the graph, students should estimate the limit to be 0.
Using l'Hopital's rule:
= 
= 0
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Simplify the given expression.5 + 2(4t + 3)
A. 2t + 8 B. 8t + 11 C. 5t + 8 D. 2t + 11
Solve the problem.Find the derivative of the function 
at the point 
in the direction in which the function decreases most rapidly.
A. - 
B. - 
C. - 
D. - 
Let p, q, r, and s represent the following statements: p: One plays hard. q: One is a guitar player. r: The commute to work is not long. s: It is not true that the car is working.Express the following statement symbolically.One does not play hard.
A. ~q B. p C. q D. ~p
Solve the problem.The position of a particle moving along a coordinate line is s = 
, with s in meters and t in seconds. Find the particle's velocity at 
A. 3 m/sec
B. 
m/sec
C. - 
m/sec
D. 
m/sec