Estimating with Finite Sums

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Presentation transcript:

Estimating with Finite Sums Chapter 6 Applications of Derivatives Section 6.1 Estimating with Finite Sums

Quick Review

Quick Review Solutions

What you’ll learn about Accumulation as area under the curve representing rate of accumulation Estimation of area using rectangular approximation Use of left, right, and midpoint sums to approximate areas … and why Learning about estimating with finite sums sets the foundation for understanding integral calculus.

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

Example Finding Distance Traveled when Velocity Varies

Example Finding Distance Traveled when Velocity Varies

Example Estimating Area Under the Graph of a Nonnegative Function