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I) Let y=C sin((x)/(D))+1 be the equation of the graph above. Find the value of C*D.

I) Let y=Csin⁡(xD)+1y=C \sin\left(\frac{x}{D}\right)+1 be the equation of the graph above. Find the value of C⋅DC\cdot D.

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Full solution

Q. I) Let y=Csin⁡(xD)+1y=C \sin\left(\frac{x}{D}\right)+1 be the equation of the graph above. Find the value of C⋅DC\cdot D.
  1. Identify Amplitude: Identify the amplitude of the sine function from the equation y=Csin⁡(xD)+1y = C \sin(\frac{x}{D}) + 1. The amplitude is given by the coefficient of the sine function, which is CC.
  2. Recognize Period: Recognize that the period of the sine function is affected by DD. The standard period of sine is 2π2\pi, modified by DD as 2πD2\pi D.
  3. Unable to Calculate: Since no specific values or constraints on the amplitude or period are given, and no additional information about the graph is provided, we cannot directly calculate CC or DD from the equation alone.

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