Myles Jackson 2009

Myles visited Australia. A kangaroo decides to visit Myles at his hotel. The kangaroo mistakes Myles for its Joey and puts him in its pouch. The kangaroo then hops away. The kangaroo’s velocity is given by the equation y = 2000*[sin(x + 3)]*[cos(x + 3)] meters per second. After 5 minutes, the kangaroo notices that Myles is not its Joey and throws him out. How far must Myles walk to get back to his hotel?

Jackie Li 2009

Jackie just won the lottery!!! With the money, she decides to buy a farm. Her favorite animal on the farm is her cow. Every morning she milks her cow at a rate of (1/9)*[sec(3x)]*[tan(3x)]+5 gallons per hour. If Jackie milks her cow for 30 minutes each morning, how much milk will she have after a week?

Blessing Bennett 2009

The number of spots on a giraffe changes at a rate of 60*[sin(pi*x/60)]*[cos(pi*x/60)] spots per year. If Blessing’s giraffe, Sam, had 40 spots when he was born, how many spots does he have now that he is 5 years old?

Marie Greaney 2009

Marie is sight-reading a new piece and runs into a double stop. OHNOES!!! The first time she plays the double stop she has a 40% chance of getting it in tune. She practices for a week and improves her chance to hit the notes at a rate of 20*e^[-(1/2)*x] percent per day. She then stops practicing and the chance goes down at a rate of -80/[(x-4)^2] percent per day. What is her chance to hit the double stop at the end of her first week? If she never practices the piece again, what will her chance of hitting the double stop end up as?

Elizabeth Mackey 2009

Firefighter Elizabeth and the rest of Engine 9 are called to a fire and race to the scene. They soon realize that they only have 20 gallons of gas left. If gas consumption of the truck is defined as f(x)=[(x^2)+1]/[(x^2)+9] miles per gallon and the fire is 10 miles away, will they make it all the way there?

Praise Hong 2009

After transferring to another office, Praise has been using Kimy's stationery to send Kimby faxes from the future Kimby. For 0 < t < 31, the rate of change of the number of faxes Praise sent to Kimby at time t days is modeled by r(t)=2*[sqrt(x)]*[sin(x/2)] faxes per day. There are 4 faxes sent at time t = 0. According to the model, about how many faxes does Praise send to Kimby at time t = 7? To the nearest whole number, what is the relative maximum number of faxes for 0 < t < 31?

Sarah Boone 2009

Sarah and Kimby are playing bass drum in a piece in the marching band halftime show. The piece begins at a speed of 110 beats per minute. Sarah starts playing 0.5 minutes into the song and begins slowing down at a rate of x+[1/(3x-1)^3] beats per minute. How many beats have been lost by the end of the song?

Aaron Sachs 2009

Dylan Singleton 2009

Eric Borrero 2009

Eric’s ram is currently resting in the Kimbylicious Fields. Eric’s ram is usually hungry and can eat blades of grass at a rate of f(x)=15*(x^2)*(e^x) blades per minute, where x is the time in minutes since he begins eating. Find out how many blades of grass Eric’s ram can eat in the first 2 minutes.