2. ESTIMATING WITH FINITE SUMS Mrs. Erickson

3. Estimating with Finite Sums

4. A particle starts at x = 0. It moves with a velocity v(t) = x 2. Where is the particle at t = 3?

5. Estimating with Finite Sums Find the area under f(x) = √x on the interval [0,1], with 4 subintervals. IRAM

6. Estimating with Finite Sums Find the area under f(x) = 4 – x 2 on the interval [0,2], with 4 subintervals. RRAM

7. Estimating with Finite Sums Find the area under f(x) = x 2 + 2 on the interval [0,2], using 4 subintervals. MRAM

8. Estimating with Finite Sums Find the area under f(x) = sin(x) on the interval [0,π], using 4 subintervals. LRAM

9. Estimating with Finite Sums The table shows the velocity of a model train engine moving along a track for 10 seconds. Estimate the distance traveled by the engine, using 5 subintervals. a) LRAM b) MRAM T012345678910 V0122210513116260 T051015202530354045505560 V1.01.21.72.01.81.61.41.21.01.81.51.20

10. The End