Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Concept explainers

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Cones
A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is dr…
Question

a. Use a left Riemann sum with the three subintervals indicated by the data in the table to approximate the amount of grain in the silo at 3 minutes.

b. Is the approximation in part a an over or underestimate? explain your reasoning.

R(t) kilograms/minute minutes FREE RESPONSE 1 1 2 8. 3 16 Grain is being poured into a silo at a rate modeled by the continuous and differentiable function R, where R(t) Is measured in kilograms per minute and tis measured in minutes. Selected values of R(t) are shown In the table above. At O minutes, the silo is empty.
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Transcribed Image Text:R(t) kilograms/minute minutes FREE RESPONSE 1 1 2 8. 3 16 Grain is being poured into a silo at a rate modeled by the continuous and differentiable function R, where R(t) Is measured in kilograms per minute and tis measured in minutes. Selected values of R(t) are shown In the table above. At O minutes, the silo is empty.
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