The distance, d, in metres travelled by a boat from the moment it leaves shore can be modelled by the function d(t) = 0.002t³ + 0.05t² + 0.3t, where t is the time, in seconds. a) Determine the average rate of change of the distance travelled during the first 10 s after leaving the shore. b) Estimate the instantaneous rate of change 10 s after leaving the shore.
The distance, d, in metres travelled by a boat from the moment it leaves shore can be modelled by the function d(t) = 0.002t³ + 0.05t² + 0.3t, where t is the time, in seconds. a) Determine the average rate of change of the distance travelled during the first 10 s after leaving the shore. b) Estimate the instantaneous rate of change 10 s after leaving the shore.
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section: Chapter Questions
Problem 33CT
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