Calc Jeopardy

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Slide 1: 

Calculus Jeopardy

Slide 2: 

What is the term given for change in position ? time elapsed Average Velocity

Slide 3: 

The table shows the position of a cyclist. 4.65 m/s Find the average velocity for the time period [1,3]

Slide 4: 

If a ball is thrown into the air with a velocity of 40ft/s, its height in feet t seconds later is given by y=40t-16t2 . Find the average velocity for the time period beginning when t=2 and lasting 0.1 second. -25.6 ft/s

Slide 5: 

If a ball is thrown in the air with a velocity 46ft/s, its height in feet t seconds later is given by y=46t-16t2 . Estimate the instantaneous velocity when t=2. -18 ft/s

Slide 6: 

The displacement (in centimeters) of a particle moving back and forth along a straight line is given by the equation of motion S=2sin(p t) + 5cos(p t), where t is measured in seconds. Estimate the instantaneous velocity of the particle when t=1. Round to the nearest hundredth. -6.28

Slide 7: 

Evaluate the limit, if it exists. 4

Slide 8: 

Evaluate the limit, if it exists. 6/5

Slide 9: 

Find 2

Slide 10: 

Find Algebraically. 0

Slide 11: 

Evaluate the limit, if it exists. -1/16

Slide 12: 

Where is the function discontinuous? 0

Slide 13: 

Where is the graph discontinuous? -1 and 1

Slide 14: 

Where is the function f(x)= lxl continuous?

Slide 15: 

Find of this continuous function. -1/11

Slide 16: 

For what value of the constant c is the function f continuous on (-∞,∞)? 2/3

Slide 17: 

What is the derivative of a function f at a number a (the basic formula for finding a derivative)?

Slide 18: 

What is the derivative at a number a for f(x) = x2-9x+10 2a-9

Slide 19: 

This limit represents the derivate of some function f at some number a. Find f(x) and a. f(x) = x1/3 a = 27

Slide 20: 

Find the domain of the derivative of f(x) = x2+12x-5. (-∞, ∞)

Slide 21: 

Find the second derivative of x3. 6a

Slide 22: 

Use limit laws to solve 4

Slide 23: 

Use limit laws to solve 360

Slide 24: 

Use limit laws to solve 42

Slide 25: 

Use limit laws to solve -21

Slide 26: 

Use limit laws to solve 157/5