Consider these statements written in ordinary language: A The speed of the car is proportional to the distance it has traveled. B The car is speeding up. C The car is slowing down. D The car always travels the same distance in the same time interval. E We are driving backwards. FOur acceleration is decreasing. Denoting by s(t) the distance covered by the car at time t, and letting k denote a constant match these statements with the following mathematical statements by entering the letters A through F on the appropriate boxes: <0. s' is constant s' <0 s" < 0 s" > 0 s' = ks

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Consider these statements written in ordinary language:**

A. The speed of the car is proportional to the distance it has traveled.  
B. The car is speeding up.  
C. The car is slowing down.  
D. The car always travels the same distance in the same time interval.  
E. We are driving backwards.  
F. Our acceleration is decreasing.  

Denoting by \( s(t) \) the distance covered by the car at time \( t \), and letting \( k \) denote a constant, match these statements with the following mathematical statements by entering the letters A through F on the appropriate boxes:

- \( s'' < 0 \)
- \( s' \) is constant
- \( s' < 0 \)
- \( s''' < 0 \)
- \( s' > 0 \)
- \( s' = ks \)
Transcribed Image Text:**Consider these statements written in ordinary language:** A. The speed of the car is proportional to the distance it has traveled. B. The car is speeding up. C. The car is slowing down. D. The car always travels the same distance in the same time interval. E. We are driving backwards. F. Our acceleration is decreasing. Denoting by \( s(t) \) the distance covered by the car at time \( t \), and letting \( k \) denote a constant, match these statements with the following mathematical statements by entering the letters A through F on the appropriate boxes: - \( s'' < 0 \) - \( s' \) is constant - \( s' < 0 \) - \( s''' < 0 \) - \( s' > 0 \) - \( s' = ks \)
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