CK-12-Pre-Calculus Concepts

(Marvins-Underground-K-12) #1

http://www.ck12.org Chapter 14. Concepts of Calculus


f(x) =x^2 −x+ 1 , 0 ≤x≤ 8


  1. Approximate the area under the curve using eight subintervals and left endpoints.
    f(x) =x^2 − 2 x+ 1 ,− 4 ≤x≤ 4

  2. Approximate the area under the curve using twenty subintervals and left endpoints.
    f(x) =√x+ 3 , 0 ≤x≤ 4

  3. 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

  4. Approximate the area under the curve using eight subintervals and left endpoints.
    f(x) =cos(x), 0 ≤x≤ 4

  5. Approximate the area under the curve using twenty subintervals and left endpoints.
    f(x) =cos(x), 0 ≤x≤ 4

  6. 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.

  7. Describe what is happening with the car.

  8. 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.

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