Estimating with Finite Sums

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Presentation transcript:

Estimating with Finite Sums AP Calculus Honors Ms. Olifer

What you’ll learn about Distance Traveled Rectangular Approximation Method (RAM) … and why Learning about estimating with finite sums sets the foundation for understanding integral calculus.

Example Finding Distance Traveled when Velocity Varies

Example Finding Distance Traveled when Velocity Varies

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

Example Estimating Area Under the Graph of a Nonnegative Function