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Exact Accumulation and 

Exact Accumulation and . AP Calculus. A). Sigma Notation. REM:. Ex. REM: Sum of the first 100 numbers. 1+2+3+…….+98+99+100. Summation Formulas. Finite Series. EX 1. Evaluate using the formulas:. EX 2. Evaluate using the formulas:. Infinite Series. REM: Limits at Infinity.

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Exact Accumulation and 

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  1. Exact Accumulation and  AP Calculus

  2. A). Sigma Notation REM: Ex.

  3. REM: Sum of the first 100 numbers. 1+2+3+…….+98+99+100 Summation Formulas

  4. Finite Series EX 1. Evaluate using the formulas: EX 2. Evaluate using the formulas:

  5. Infinite Series REM: Limits at Infinity NOTICE: Inside: i is the variable. Outside: n is the variable EX 3. Evaluate: EX 4. Evaluate:

  6. AREA DEFN: The Area (accumulation) defined by a region in the plane is: We will use the RIGHT ENDPOINT and REGULAR PARTITIONS (easier!) THEOREM: The Limit ( as ) of the Under Approximation and the Over Approximation (and therefore any Riemann’s Sum) are equal.

  7. 1st Rect. 2nd Rect. ith Rect. a b ith a

  8. Find the Area (accumulation) determined by the region bounded by and the x - axis on the interval [ 0, 2]. Area: Exact Accumulation

  9. Find the Area (accumulation) determined by the region bounded by and the x - axis on the interval [ 0, 3]. Area: Exact Accumulation

  10. Find the Area (accumulation) determined by the region bounded by and the x - axis on the interval [ 1, 2]. Area: Exact Accumulation

  11. Find the Area (accumulation) determined by the region bounded by and the x - axis on the interval [ 2, 4]. Area: Exact Accumulation

  12. Last Update: • 1/15/10 • Assignment: Worksheet

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