6.4.Day2_handout.apply.trig.fns

6.4.Day2_handout.apply.trig.fns - water is 2 m. One cycle...

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MHF 4U0 Name: 6.4 Transformations of Trigonometric Functions – Word Problems Example #1: The average monthly temperature, T, in degrees Celsius, in the Kawartha Lakes was modeled by 10 6 cos 22 ) ( + - = t t T π , where t represents the number of months. ( t = 0 represents January). (a) What is the period? Explain the period in the context of the problem. (b) What is the maximum temperature? What is the minimum temperature? (c) What is the average temperature in Kawartha Lakes? (d) Sketch the graph for 12 0 t . (e) Use the graph to determine when the temperature in Kawartha Lakes is 30 ° C. pg. 1/2
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MHF 4U0 Name: Example #2: In one area of the Bay of Fundy, the tides cause the water level to rise to 6 m above average sea level and to drop to 6 m below average sea level. At low tide, the depth of the
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Unformatted text preview: water is 2 m. One cycle is completed approximately every 12 hours. Assume that changes in the depth of the water over time can be modeled by a sine function. (a) If the water is at average sea level at midnight and the tide is coming in, draw a graph to show how the depth of the water changes over the next 24 hours. (b) Write the equation for the graph. (c) If the water is at average sea level at 02:00, and the tide is coming in, write an equation for the graph that shows how the depth changes over the next 24 hours. pg. 2/2 Assigned Work: page 345 #6d, 7cd(no graph), 8bc, 9, 10, 11, 14...
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This note was uploaded on 01/14/2012 for the course MAT 107 taught by Professor Sda during the Spring '11 term at Beacon FL.

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6.4.Day2_handout.apply.trig.fns - water is 2 m. One cycle...

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