Solve as initial value problem. The number of bacteria is a dish doubles every 10 hours. The number of bacteria starts off at 10. 

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Place code for initial value problems worksheet here. You only need to place code for the problems in BOLD.

1. Solve as initial value problem. The number of bacteria is a dish doubles every 10 hours. The number of bacteria starts off at 10. 

1. How many bacteria are in the dish after 70 hours. Set this up as an initial value problem using c++. (I know you can do it with your calculator.)

2. How how long until the number of bacteria exceed 100,000,000? 

2. Solve as initial value problem. The force on a 1000kg car is described according to F = 300t^2 - 2000t. Determine how far the car goes between time = 2 sec and time  = 5 seconds. Hint: start the time at 2 seconds and the position at 0 m.

3. Solve as initial value problem. A car starts at a stop sign with an acceleration of 5 m/s^2. How far does the car go after 10 seconds? If you are in physics class, check your work with your physics knowledge. Print the car’s velocity as a function of time. Redirect the output to a file. Create a graph of the car’s velocity as a function of time during these 10 seconds.

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