How much growth or decay does this function represent?
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The measure of the central angle is 4 radians
<h3><u>Solution:</u></h3>Given that central angle of a circle intercepts an arc of length 28 centimeters
The radius of the circle is 7 centimeters
<em><u>To find: measure of the central angle in radians</u></em>
The arc length of circle when is measured in radians is given as:
Where "s" is the arc length
"r" is the radius of circle
is the central angle in radians
Substituting the values in formula,
Thus the measure of the central angle is 4 radians
2) Period = 3π,
2π/b = 3π, b = 2π/3π = 2/3
Amplitude = 2
Midline = 1
Equation: f(x) = 3sin(2/3(x)) + 1 (no vertical shift)
See attachment for graph.
3) f(x) = -23sin(4x) + 14,
a) amplitude = 23
b) midline = 14
c) Maximum = 37
d) Minimum = -9
