Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.† R(t) = 230 + 50t3; t = 1 Find the average rate of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates. Round your answers to one decimal place.) h 1 0.1 0.01 Ave. rate Estimate the instantaneous rate of change of R at time t, specifying the units of measurement.
Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.† R(t) = 230 + 50t3; t = 1 Find the average rate of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates. Round your answers to one decimal place.) h 1 0.1 0.01 Ave. rate Estimate the instantaneous rate of change of R at time t, specifying the units of measurement.
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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Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.†
R(t) = 230 + 50t3; t = 1
Find the average rate of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates. Round your answers to one decimal place.)
h | 1 | 0.1 | 0.01 |
---|---|---|---|
Ave. rate |
Estimate the instantaneous rate of change of R at time t, specifying the units of measurement.
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