3. The average temperature in Detroit, Michigan on any given day of the year can be modeled by T(t) = 27 sin(0.0172(t- 115) + 50, where T is the temperature in degrees Fahrenheit and t is the number of days elapsed since January 1st. (a) State the period (in days), the amplitude, the vertical shift, and the phase shift. Interpret all four of these in the context of the real-world situation being modeled.

Q: 8. Sketch one period of y = -3 sin(Tx+ ). Clearly state the amplitude, period, and the phase shift.

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Q: a. Find E corresponding to t= 30. E=0 Find E corresponding to t = 35. E= Find E corresponding to t =…

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Q: 1. Consider the function y = 7 cos[(x −)] +3 a. What is the amplitude? b. What is the period? c.…

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Q: 1) Find the Amplitude, mideline, period, phase shift and increments for F(x) = -2sin2(x+pi)-1

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Q: Given that f(x) = −3 cos(πx − 2) + 1, find the following quantities: (a) The Amplitude. (b) The…

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Q: 6. Draw the graph of f(x) = -3 cos(x + pi/2) Amplitude: Period: H. shift: V. shift: -20 23 -)

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Q: . Find the period and phase shift of each of 1 a) y = - cot(6x – 4) 3

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