A long branch of a pine tree is moving up and down in the wind such that the height (above ground) of a pine cone at the end fluctuates between 6 m and 7 m. The period of this movement of the pine cone is 3 seconds. Suppose that time t (in seconds) is defined so that at t = 1 second the pine cone is at height 7 m. Assume that the height (in metres) of the pine cone can be represented by a trigonometric function f(t). (a) What is the mid-level of the pine cone’s height? (b) What is the amplitude of f(t)? (c) Find the smallest value of t > 0 for which f(t) = 6. (d) Find a formula for f(t), showing all your reasonin
A long branch of a pine tree is moving up and down in the wind such that the height (above ground) of a pine cone at the end fluctuates between 6 m and 7 m. The period of this movement of the pine cone is 3 seconds. Suppose that time t (in seconds) is defined so that at t = 1 second the pine cone is at height 7 m. Assume that the height (in metres) of the pine cone can be represented by a trigonometric function f(t). (a) What is the mid-level of the pine cone’s height? (b) What is the amplitude of f(t)? (c) Find the smallest value of t > 0 for which f(t) = 6. (d) Find a formula for f(t), showing all your reasonin
Chapter1: Equations, Inequalities, And Mathematical Modeling
Section1.1: Graphs Of Equations
Problem 9ECP
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A long branch of a pine tree is moving up and down in the wind such that the height (above ground) of a pine cone at the end fluctuates between 6 m and 7 m. The period of this movement of the pine cone is 3 seconds. Suppose that time t (in seconds) is defined so that at t = 1 second the pine cone is at height 7 m. Assume that the height (in metres) of the pine cone can be represented by a trigonometric
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(a) What is the mid-level of the pine cone’s height?
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(b) What is the amplitude of f(t)?
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(c) Find the smallest value of t > 0 for which f(t) = 6.
(d) Find a formula for f(t), showing all your reasonin
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