Calories per Minute 15+ 12 6 3 0- (4,9) 4 8 (16, 15) (12,9) 12 Minutes (20, 15) (24,3) 16 20 24 t The rate, in calories per minute, at which a person using an exercise machine burns calories is modeled by the function f. In the figure above, ƒ (t) = − 1 t³ + ³t² + 1 for 0 ≤ t ≤ 4 and fis piecewise linear for 4 ≤ t ≤ 24. Find the total number of calories burned over the time interval 6 ≤ t ≤ 18 minutes.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Calories per Minute
15
12-
(4,9)
8
(16, 15)
(12,9)
12
Minutes
(20, 15)
(24, 3)
16 20 24
The rate, in calories per minute, at which a person using an exercise machine burns
calories is modeled by the function f. In the figure above,
f (t) = −¹³+ ³t² + 1 for 0 ≤ t ≤ 4 and fis piecewise linear for 4 ≤ t ≤ 24.
Find the total number of calories burned over the time interval 6 ≤ t ≤ 18 minutes.
Transcribed Image Text:Calories per Minute 15 12- (4,9) 8 (16, 15) (12,9) 12 Minutes (20, 15) (24, 3) 16 20 24 The rate, in calories per minute, at which a person using an exercise machine burns calories is modeled by the function f. In the figure above, f (t) = −¹³+ ³t² + 1 for 0 ≤ t ≤ 4 and fis piecewise linear for 4 ≤ t ≤ 24. Find the total number of calories burned over the time interval 6 ≤ t ≤ 18 minutes.
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