JEOPARDY

Derivatives and things

Don’t Limit Yourself

I’ve been afraid of changing

Be a good sport Potpourri

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Don’t Limit Yourself for 100

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Don’t Limit Yourself for 200 Answer: 2.71• Complete a table and use the result to

estimate the limit (if it exists).

Don't Limit Yourself for 300 • Answer

• Find the limit as x approaches -5, -2, 1+, 1-, and 4

Don't Limit Yourself for 400

3x2+4

• Evaluate the following limit

Don't Limit Yourself for 500

• Hole: x=3• V.A. x=1, -1• Lim = 32/2

• Determine any discontinuities. Specify what type they are, and then find the limit of the function if it exists. If it does not, explain why.

I've Been Afraid Of Changing for 100

• 29 feet/second

• If a drag racers position is given by , where t is in seconds, what is the racers speed after 3 seconds?

I've Been Afraid Of Changing for 200 • 646 bees• 58 bees/month

• A population of bees at time t months is given by the function • If the population began increasing in January

of 2015, what is the population in November? How much is the population increasing by in November?

I've Been Afraid Of Changing for 300

• Chute opens at 23 seconds, diver is going 736 f/s

• If a skydiver jumps from a height of 14,000 feet, and opens the parachute at 5,000 feet, how fast is the diver going when they deploy their chute?

I've Been Afraid Of Changing for 400 • Position= -.25 inches• Velocity= 4

inches/second

• A boy plays with a paddle ball. The displacement of the ball from equilibrium (not being stretched or pushed) is given by . Determine the position and velocity of the ball at

Be A Good Sport for 100 • 13 more points for

bonus• 28 points all season

• Lee Stempniak has signed a 1-year, $850,000 deal with the NJ Devils. He will make a bonus of $3,000 a point this season, and already has 12 points. How many more points will he need to earn a $75,000 bonus? If he wants to make a total of $934,000, how many points does he need to score all season?

Be A Good Sport for 200 • 8 seconds• 1168 f/s• 146f/s/s

• A drag racer’s position can be given, in feet, by the function with t given in seconds.• How long does it take the racer to go one

mile?• What is the racers speed at this time?• How fast is the racer accelerating?

Be A Good Sport for 300 • 1.5 miles• .49 miles/hour

• If a NYC Marathon runner’s distance from the Empire State Building is given, in miles, by the function with t in hours

• How far away is the runner in the first hour?• How fast is the distance changing at the 2nd

hour?

Be A Good Sport for 400

• 196ft • 64 f/s• 112 f/s

• A Cliff Diver’s free-fall time is 3.5 seconds. • How high is the BASE jumper’s starting point

from their free-fall time?• How fast is the jumper going at 2 seconds?

On impact?

Be A Good Sport for 500 • Answer • Question

Derivatives and Things for 100 • •

Derivatives and Things for 200

𝑠′ (𝑥 )=105 𝑥2+10 𝑥𝑠 (𝑥 )=35 𝑥3+5𝑥2+6

Derivatives and Things for 300 •

𝑓 (𝑥 )= (3 𝑥−5 )2

𝑥2+3 𝑥−6

Derivatives and Things for 400 • •

Derivatives and Things for 500

3.5𝑒14− 𝑡

2

5 (1−3.7 𝑡2)𝑣 (𝑡 )=3.5 𝑡 𝑒14− 𝑡

2

5

What's Your Function? for 100 • Answer • Question

What's Your Function? for 200 • Answer • Question

What's Your Function? for 300 • Answer • Question

What's Your Function? for 400 • Answer • Question

What's Your Function? for 500 • Answer • Question

Potpourri for 100 • Write your name• According to Taylor

Swift, what should one do with a blank space?

Potpourri for 200 • Everything the light

touches• According to Mufasa,

what part of the Pride Land belongs to Simba?

Potpourri for 300 • Denim, Denim,

Denim • What are Super

Mario’s pants made out of?

Potpourri for 400 • Saving Private Ryan,

Interstellar, The Martian

• Name two movies in which the US spent money on rescuing Matt Damon

Potpourri for 500 • A Hot Air Balloon• A Sheep, a Duck, and

a Rooster were the first passengers to ride in a what?