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The height of a dolphin, h (in metres), with respect to time, t, in seconds is given by the equation h(t) -t4+t³-47t² + 20t == 12 dolphin is below the water a. 6 - 87 a negative value for h indicates that the 4 Given the critical numbers for h(t) are t = 3, t = 4 and t = 5, use the first derivative test to indicate the time intervals between 0 and 8 seconds for which the dolphin is swimming upwards and for which the dolphin is swimming downwards.

The height of a dolphin, h (in metres), with respect to time, t, in seconds is given by the equation h(t) -t4+t³-47t² + 20t == 12 dolphin is below the water a. 6 - 87 a negative value for h indicates that the 4 Given the critical numbers for h(t) are t = 3, t = 4 and t = 5, use the first derivative test to indicate the time intervals between 0 and 8 seconds for which the dolphin is swimming upwards and for which the dolphin is swimming downwards.

Calculus: Early Transcendentals
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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4. The height of a dolphin, h (in metres), with respect to time, t, in seconds is given by the equation h(t) = − 1⁄tª +t³-47t² + 20t - 87 a negative value for h indicates that the dolphin is below the water 12 3 6 4 Given the critical numbers for h(t) are t = 3, t = 4 and t = 5, use the first derivative test to indicate the time intervals between 0 and 8 seconds for which the dolphin is swimming upwards and for which the dolphin is swimming downwards. b. Use the results of your first derivative test to show, without graphing, that the dolphin never goes above the water.
Transcribed Image Text:4. The height of a dolphin, h (in metres), with respect to time, t, in seconds is given by the equation h(t) = − 1⁄tª +t³-47t² + 20t - 87 a negative value for h indicates that the dolphin is below the water 12 3 6 4 Given the critical numbers for h(t) are t = 3, t = 4 and t = 5, use the first derivative test to indicate the time intervals between 0 and 8 seconds for which the dolphin is swimming upwards and for which the dolphin is swimming downwards. b. Use the results of your first derivative test to show, without graphing, that the dolphin never goes above the water.
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