Honors Calculus 1st Semester Practice

What is the limit?

• ∞
• 20
• DNE
• 12

What is the limit of the function as x approaches -4?

• 2
• -4
• 
• 1.999...

• undefined

• (-∞, 0]

• (-1, 0]

• (0, ∛2]

• (∛2, ∞)

The position of an object is given as a function of time by x = 3t² + 5t³ - 2t
What is the acceleration of the object at time t = 2 s?

• 64 m/s/s
• 60 m/s/s
• 66 m/s/s
• 70 m/s/s

A 10ft ladder is leaning against a wall and sliding towards the floor. The top of the ladder is sliding down the wall at a rate of 2ft/sec. How fast is the base of the ladder sliding away from the wall when the base of the ladder is 6ft from the wall?

• (y - 1) =  (x - 2)

• (y - 2) = - (x - 1)

If f(x) is continuous on [2,6] with f(2)=20 and f(6)=10, then Intermediate Value Theorem says which of the following is true?

• f(x)=25 does not have a solution on [2,6]

• f(x)=17 has a solution on [2,6]

• f(x)=0 has a solution on [2,6]

• IVT does't apply

• none

• I only

• I and II

• I and III

• I, II, and III