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Pre-Calculus Practice Problem 173

Pre-Calculus Practice Problem 173 - can be modeled by a...

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Unit 5, Activity 6, The Family of Functions - Sine and Cosine Parts I and II with Answers Blackline Masters, Advanced Math-Pre-Calculus Page Comprehensive Curriculum, Revised 2008 171 4. Write an equation and sketch the graph of a cosine function if the amplitude is 3, the fundamental period is π and there is a phase shift of π 2 to the left. f(x) = 3cos2 x + F H G I K J π 2 or f(x) = 3cos(2x + π ) 5.As the moon circles the earth, its gravitational force causes tides. The height of the tide
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Unformatted text preview: can be modeled by a sine or cosine function. Assume there is an interval of 12 hours between successive high tides. a) Sketch the graph of the height if it is 2.6 meters at low tide and 9.6 meters at high tide. b) Use the graph to help express the height of the tide h meters, as a function of the time t hours after high tide. h(t) = 3.5cos 6 t F H G I K J...
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