1. The average monthly temperature, y, in degrees Fahrenheit, for Alaska, can be modeled by2ny = 16 sin (x -#) + 40, where x is the month of the year (January = 1, February = 2, ..).Find the amplitude and explain what it means in relation to this problem. (4 points)b. Find the period and explain what it means in relation to this problem. (4 points)C. Graph the function for 1 S x < 12. (4 points)d. What is the highest average monthly temperature? In which month does this occur? (4 points)a.2. Sketch a reasonable graph that models the motion of a diving board vibrating 13 inches in eachdirection per second just after someone has dived off. (4 points)

Answered: Image /qna-images/answer/dc54482c-0d63-4499-b576-413184f1bc33.jpg

es Fahrenheit, for Alaska, can nth of the year (January = 1, Fe %3D uns in relation to this problem. n relation to this problem. (4 p ts) erature? In which month does tion of a diving board vibrating ved off. (4 points)

es Fahrenheit, for Alaska, can nth of the year (January = 1, Fe %3D uns in relation to this problem. n relation to this problem. (4 p ts) erature? In which month does tion of a diving board vibrating ved off. (4 points)

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.5: Trigonometric Graphs

Problem 4E

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Question

1. The average monthly temperature, y, in degrees Fahrenheit, for Alaska, can be modeled by
2n
y = 16 sin (x -#) + 40, where x is the month of the year (January = 1, February = 2, ..).
Find the amplitude and explain what it means in relation to this problem. (4 points)
b. Find the period and explain what it means in relation to this problem. (4 points)
C. Graph the function for 1 S x < 12. (4 points)
d. What is the highest average monthly temperature? In which month does this occur? (4 points)
a.
2. Sketch a reasonable graph that models the motion of a diving board vibrating 13 inches in each
direction per second just after someone has dived off. (4 points)

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