From 5 miles to 16 miles in 11 miles in between.
Answer:
0
Step-by-step explanation:
Use two-point form to find the slope.
m=y2-y1/x2-x1
m=0-0/10-5
m=0/5
Answer:
The number of calculators is 4871
Step-by-step explanation:
If we integrate dx/dt we get x, which is the number of calculators. To find the number of calculators between the beginning of third week to the end of fourth week (the beginning of fifth week), this integration must be evaluated at t between 3 and 5.
![x=\int\limits^5_3 {\frac{dx}{dt}} \, dt =\int\limits^5_3 {5000(1-\frac{100}{(t+10)^2})} \, dt](https://tex.z-dn.net/?f=x%3D%5Cint%5Climits%5E5_3%20%7B%5Cfrac%7Bdx%7D%7Bdt%7D%7D%20%5C%2C%20dt%20%3D%5Cint%5Climits%5E5_3%20%7B5000%281-%5Cfrac%7B100%7D%7B%28t%2B10%29%5E2%7D%29%7D%20%5C%2C%20dt)
the result of the integration is:
to be evaluated between 3 and 5, which is:
![x=5000(5+\frac{100}{5+10})-5000(3+\frac{100}{3+10})=\frac{190000}{39}=4871.8](https://tex.z-dn.net/?f=x%3D5000%285%2B%5Cfrac%7B100%7D%7B5%2B10%7D%29-5000%283%2B%5Cfrac%7B100%7D%7B3%2B10%7D%29%3D%5Cfrac%7B190000%7D%7B39%7D%3D4871.8)