1. Estimating with Finite Sums
5.1
Estimating with Finite Sums

2. Quick Review

3. Quick Review Solutions

4. What you’ll learn about
Distance Traveled
Rectangular Approximation Method (RAM)
Volume of a Sphere
Cardiac Output
Essential Questions
How does learning about estimating with finite
sums help us understand integral calculus.

5. Example Finding Distance Traveled when Velocity Varies1. v
d = 300 mi 60
mph t
hours 5

6. Example Finding Distance Traveled when Velocity Varies

7. LRAM, MRAM, and RRAM approximations to the area under the graph of y=x2 from x=0 to x=3

8. Example Estimating Area Under the Graph of a Nonnegative Function2.

9. Example Finding Volume
Estimate the volume of a sphere with a radius of 4 meters.

10. Pg. 251, 5.1 #1-35 odd