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Accumulation as Area and Riemann Sums
Worksheet
Grade Level
Pre-Calculus
Pre-CAL.186 Accumulation as Area and Riemann Sums
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A gap starts at 15 centimeters. Its rate of change g'(t), in centimeters per minute, is shown. t: 0, 2, 5, 8; g'(t): 1.5, -0.5, 2.0, -1.0. Use a left endpoint Riemann sum with P = {0, 2, 5, 8} to estimate the gap at t = 8.
A
22.5 centimeters; the gap increases by about 7.5 centimeters.
B
7.5 centimeters; that is the final gap itself.
C
15 centimeters; the Riemann sum cancels to zero.
D
30 centimeters; the gap doubles because the rates are positive overall.
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