Let f(t) be the temperature at time t where you live and suppose that at time t = 2 you feel uncomfortably hot. What happens to the temperature in each case? (a) f'(2) 1, f"(2) = -3 O The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. ○ The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (b) f'(2)-1, f"(2) = 3 O The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (c) f'(2)-1, f"(2) = −3 ○ The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (d) f'(2) 1, f"(2) = 3 ○ The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. ○ The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative).
Let f(t) be the temperature at time t where you live and suppose that at time t = 2 you feel uncomfortably hot. What happens to the temperature in each case? (a) f'(2) 1, f"(2) = -3 O The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. ○ The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (b) f'(2)-1, f"(2) = 3 O The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (c) f'(2)-1, f"(2) = −3 ○ The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative). (d) f'(2) 1, f"(2) = 3 ○ The temperature is increasing, and the rate of increase is increasing. ○ The temperature is increasing, but the rate of increase is decreasing. ○ The temperature is decreasing, but the rate of change is increasing (becoming less negative). ○ The temperature is decreasing, and the rate of change is decreasing (becoming more negative).
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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