Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 0 12 24 36 48 60 v (ft/s) 32 28 25 21 24 27 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. 1884 x ft (b) Give another estimate using the velocities at the end of the time periods. 1512 x ft (c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t. (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t. (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.
Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 0 12 24 36 48 60 v (ft/s) 32 28 25 21 24 27 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. 1884 x ft (b) Give another estimate using the velocities at the end of the time periods. 1512 x ft (c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t. (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t. (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 45SE: A driver of a car stopped at a gas station to fill up his gas tank. He looked at his watch, and the...
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