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Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 12 24 36 48 60 v (ft/s) 32 27 25 22 24 28 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. ft (b) Give another estimate using the velocities at the end of the time periods. ft (c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t. O (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t. O (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t.

Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 12 24 36 48 60 v (ft/s) 32 27 25 22 24 28 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. ft (b) Give another estimate using the velocities at the end of the time periods. ft (c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t. O (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t. O (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 63E
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Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 12 24 36 48 60 v (ft/s) | 32 | 27 25 22 24 28 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. ft (b) Give another estimate using the velocities at the end of the time periods. ft (c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. O (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t. O (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t. O (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t.
Transcribed Image Text:Speedometer readings for a motorcycle at 12-second intervals are given in the table. t (s) 12 24 36 48 60 v (ft/s) | 32 | 27 25 22 24 28 (a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals. ft (b) Give another estimate using the velocities at the end of the time periods. ft (c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. O (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t. O (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t. O (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t.
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