Find k so that the following function is continuous on any interval. S f(x) = 7x 2 < x kx 0 < x < 2 k = i %3D

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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Find k so that the following function is continuous on any interval.
S kx 0<x < 2
7x 2 < x
f(x) =
k =
Transcribed Image Text:Find k so that the following function is continuous on any interval. S kx 0<x < 2 7x 2 < x f(x) = k =
Which of the following are continuous functions of time?
(a) The quantity of gas in the tank of a car on a journey between New York and Boston.
(b) The number of students enrolled in a class during a semester.
(c) The age of the oldest person alive.
O (a) is not continuous.
(b) is not continuous.
(c) is continuous.
O (a) is continuous.
(b) is continuous.
(c) is continuous.
O (a) is continuous.
(b) is not continuous.
(c) is not continuous.
O (a) is not continuous.
(b) is not continuous.
(c) is not continuous.
O (a) is continuous.
(b) is continuous.
(c) is not continuous.
Transcribed Image Text:Which of the following are continuous functions of time? (a) The quantity of gas in the tank of a car on a journey between New York and Boston. (b) The number of students enrolled in a class during a semester. (c) The age of the oldest person alive. O (a) is not continuous. (b) is not continuous. (c) is continuous. O (a) is continuous. (b) is continuous. (c) is continuous. O (a) is continuous. (b) is not continuous. (c) is not continuous. O (a) is not continuous. (b) is not continuous. (c) is not continuous. O (a) is continuous. (b) is continuous. (c) is not continuous.
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