Calculus Spiral Review Set

• sinx
• -sinx
• -cscx cotx
• sec²x

Find the limit of the function as x approaches 2.

• 1
• -1
• 5
• DNE

If a function has a derivative that is negative, what does that tell you?

• The function is increasing
• The function is decreasing
• The concavity of the function is up
• The concavity of the function is down

The acceleration function is the first derivative of...

• position
• velocity
• calculus
• particle motion

If the position of a particle is represented by s(t) = -t² + 1, what is its position at t = 1? 

• Position = 0
• Position = 1
• Position = 2
• Position = -1 

If the position function for a particle is s(t) = -t² - t, what is the instantaneous velocity function for the particle? 

• v(t) = -2
• v(t) -2t - 1 
• v(t) = t³
• v(t) = -t

A bug begins to crawl up a vertical wire at time t = 0.  The velocity v of the bug at time t, 0 < t < 8, is given by the function whose graph is shown behind this text. At what value of t does the bug change direction? 

• 2
• 4
• 6.5
• 7

A particle's speed is decreasing if

• it's acceleration is positive
• it's velocity is positive
• it's velocity and acceleration have the same sign
• it's velocity and acceleration have different signs

v(t)>0 means

• the particle is moving to the right
• the particle is moving to the left
• the particle has positive position
• the particle is at rest

Which of the following can be used to determine when a particle is at rest?

• x(t)=0
• v(t)=0
• a(t)=0