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a. Estimate R'(1.5). Indicate units of measure. b. Justify why there must be at least one time t, for 0 ≤ t ≤ 3, at which R'(t) equals 5.3 kilograms/minute2. c. 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.

a. Estimate R'(1.5). Indicate units of measure. b. Justify why there must be at least one time t, for 0 ≤ t ≤ 3, at which R'(t) equals 5.3 kilograms/minute2. c. 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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

a. Estimate R'(1.5). Indicate units of measure.

b. Justify why there must be at least one time t, for 0 ≤ t ≤ 3, at which R'(t) equals 5.3 kilograms/minute2.

c. 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.

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.
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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