http://www.ck12.org Chapter 14. Concepts of Calculus
f(x) =x^2 −x+ 1 , 0 ≤x≤ 8
- Approximate the area under the curve using eight subintervals and left endpoints.
f(x) =x^2 − 2 x+ 1 ,− 4 ≤x≤ 4 - Approximate the area under the curve using twenty subintervals and left endpoints.
f(x) =√x+ 3 , 0 ≤x≤ 4 - Approximate the area under the curve using 100 subintervals and left endpoints. Compare to your answer from
#3.
f(x) =√x+ 3 , 0 ≤x≤ 4 - Approximate the area under the curve using eight subintervals and left endpoints.
f(x) =cos(x), 0 ≤x≤ 4 - Approximate the area under the curve using twenty subintervals and left endpoints.
f(x) =cos(x), 0 ≤x≤ 4 - Approximate the area under the curve using 100 subintervals and left endpoints.
f(x) =cos(x), 0 ≤x≤ 4
The following graph shows the rate (in miles per hour) vs. time (in hours) for a car. - Describe what is happening with the car.
- How far did the car travel in 5 hours?
The following graph shows the rate (in feet per second) vs. time (in seconds) for a car.