A child inflates a balloon, admires it for a while and then lets the air out at a constant rate. If V(t) gives the volume of the balloon at time t, then the figure shows V'(t) as a function of t. At what time does the child do each of the following? V'(k) (a) begin to inflate the balloon? t = 3 (b) finish inflating the balloon? t= (c) begin to let the air out? c-2 6 1 0-21 3 9 (d) What would the graph of V'(t) look like if the child had alternated between pinching and releasing the open end of the balloon, instead of letting the air out at a constant rate? V' (t V' (k) 6 12 9 15 18. 12 15 18 12 15 t 18 t 0-2 3 V' (k) V' (t) ਉਹ ਬੰਦ 3 6 6 3 9 1518 45 9 c-2 6 9 12 15. 18 t t

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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A child inflates a balloon, admires it for a while and then lets the air out at a constant rate. If V(t) gives the volume of the balloon at time t, then the figure shows V'(t) as a function of t. At what time does the child do each of the following?
y'(t)
1
-2
3
(a) begin to inflate the balloon?
t =
(b) finish inflating the balloon?
t =
(c) begin to let the air out?
it =
1
6
0-2
3
3
(d) What would the graph of V'(t) look like if the child had alternated between pinching and releasing the open end of the balloon, instead of letting the air out at a constant rate?
'(t)
V'(t)
6
9
6
9
12 15
v'(t)
9
12 15
18
12
t
18
t
nna:
15 18
1
-2
3
6
6
9
v'(t)
9
12 15 18
12
18
t
t
Transcribed Image Text:A child inflates a balloon, admires it for a while and then lets the air out at a constant rate. If V(t) gives the volume of the balloon at time t, then the figure shows V'(t) as a function of t. At what time does the child do each of the following? y'(t) 1 -2 3 (a) begin to inflate the balloon? t = (b) finish inflating the balloon? t = (c) begin to let the air out? it = 1 6 0-2 3 3 (d) What would the graph of V'(t) look like if the child had alternated between pinching and releasing the open end of the balloon, instead of letting the air out at a constant rate? '(t) V'(t) 6 9 6 9 12 15 v'(t) 9 12 15 18 12 t 18 t nna: 15 18 1 -2 3 6 6 9 v'(t) 9 12 15 18 12 18 t t
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