The wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has been blowing at that speed. Values of the function h = f(v, t) are recorded in feet in the table below. Wave height as a function of wind speed and duration Duration (hours) Wind speed (knots) V 10 15 20 30 40 50 60 t 5 2 4 5 9 10 15 2 4 7 2 14 21 5 8 2 3 20 30 40 2 5 24 37 47 8 25 28 13 16 17 18 19 29 36 40 54 2 2 5 5 9 5 (a) What is the value of f(30, 15)? What is its meaning? According to the table, f(30, 15) = feet. 50 62 2 5 9 9 31 33 33 19 19 45 48 50 67 69 which means that if a 30 knot wind has been blowing in the open sea for 15 hours, it will create waves with estimated heights of (b) What is the meaning of the function of h = f(15, t)? Describe the behavior of this function. Owe fix v and t, resulting in a constant value. We fix v = 15 and allow t to vary, resulting in an equation of one variable. We fix t = 15 and allow v to vary, resulting in an equation of one variable. Owe allow v and t to vary, resulting in a function of two variables. (c) What is the meaning of the function h = f(v, 15)? Describe the behavior of this function. Owe fix v and t, resulting in a constant value. Owe fix v = 15 and allow t to vary, resulting in an equation of one variable. Owe fix t = 15 and allow v to vary, resulting in an equation of one variable. O we allow v and t to vary, resulting in a function of two variables.
The wave heights h in the open sea depend on the speed v of the wind and the length of time t that the wind has been blowing at that speed. Values of the function h = f(v, t) are recorded in feet in the table below. Wave height as a function of wind speed and duration Duration (hours) Wind speed (knots) V 10 15 20 30 40 50 60 t 5 2 4 5 9 10 15 2 4 7 2 14 21 5 8 2 3 20 30 40 2 5 24 37 47 8 25 28 13 16 17 18 19 29 36 40 54 2 2 5 5 9 5 (a) What is the value of f(30, 15)? What is its meaning? According to the table, f(30, 15) = feet. 50 62 2 5 9 9 31 33 33 19 19 45 48 50 67 69 which means that if a 30 knot wind has been blowing in the open sea for 15 hours, it will create waves with estimated heights of (b) What is the meaning of the function of h = f(15, t)? Describe the behavior of this function. Owe fix v and t, resulting in a constant value. We fix v = 15 and allow t to vary, resulting in an equation of one variable. We fix t = 15 and allow v to vary, resulting in an equation of one variable. Owe allow v and t to vary, resulting in a function of two variables. (c) What is the meaning of the function h = f(v, 15)? Describe the behavior of this function. Owe fix v and t, resulting in a constant value. Owe fix v = 15 and allow t to vary, resulting in an equation of one variable. Owe fix t = 15 and allow v to vary, resulting in an equation of one variable. O we allow v and t to vary, resulting in a function of two variables.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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