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/minuteminutesFREE RESPONSE 1128.316Grain is being poured into a silo at a rate modeled by the continuous and differentiable function R, where R(t) Is measured inkilograms per minute and tis measured in minutes. Selected values of R(t) are shown In the table above. At O minutes, the silo isempty.

Solution for part a: t Rt 0 0 1 4 2 8 3 16 R'1.5≅R2-R12-1=8-41=4 Therefore, R'1.5≅4

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.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter10: Radical Functions And Equations

Section: Chapter Questions

Problem 9CR

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