6- A mass on a spring is pulled toward the floor and released, causing it to move up and down. Its height, in centimetres, above the floor after t seconds is given by the function h(t) = -10 cos(2nt)+15 0≤t≤3 a) Sketch a graph of height versus time and find amplitude, period and equation of axis b) Then use your graph to predict when the mass will be 18 cm above the floor as it travels in an upward direction. C10T5

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
11:03 © Ⓒ
5- The following table shows the average monthly temperature in Richmond Hill, Ontario over
many years
4G+
LTE 1 + Ill 56%
Month Jan. Feb. Mar. Apr. May June July Aug. Sep. Oct. Nov. Dec.
19 20.7 16.4 10.5 3.6 -2.3
C
-15
--11 -5.9 2.5 8.7 13.9
a) Plot the temperature data for Richmond Hill, then find determine the equation of the
sinusoidal function that describes the data,
b) Use your equation to determine the times that the temperature is below zero A15
6- A mass on a spring is pulled toward the floor and released, causing it to move up and down.
Its height, in centimetres, above the floor after t seconds is given by the function
h(t) = -10 cos(2лt) + 15 0≤t≤3
a) Sketch a graph of height versus time and find amplitude, period and equation of axis
b) Then use your graph to predict when the mass will be 18 cm above the floor as it travels in an
upward direction. C10T5
|||
O
r
Transcribed Image Text:11:03 © Ⓒ 5- The following table shows the average monthly temperature in Richmond Hill, Ontario over many years 4G+ LTE 1 + Ill 56% Month Jan. Feb. Mar. Apr. May June July Aug. Sep. Oct. Nov. Dec. 19 20.7 16.4 10.5 3.6 -2.3 C -15 --11 -5.9 2.5 8.7 13.9 a) Plot the temperature data for Richmond Hill, then find determine the equation of the sinusoidal function that describes the data, b) Use your equation to determine the times that the temperature is below zero A15 6- A mass on a spring is pulled toward the floor and released, causing it to move up and down. Its height, in centimetres, above the floor after t seconds is given by the function h(t) = -10 cos(2лt) + 15 0≤t≤3 a) Sketch a graph of height versus time and find amplitude, period and equation of axis b) Then use your graph to predict when the mass will be 18 cm above the floor as it travels in an upward direction. C10T5 ||| O r
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