We have the following three conclusions about the <em>piecewise</em> function evaluated at x = 14.75:
.
.
does not exist as
.
<h3>How to determinate the limit in a piecewise function</h3>
In a <em>piecewise</em> function, the limit for a given value exists when the two <em>lateral</em> limits are the same and, thus, continuity is guaranteed. Otherwise, the limit does not exist.
According to the definition of <em>lateral</em> limit and by observing carefully the figure, we have the following conclusions:
.
.
does not exist as
.
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To best estimate the volume of the log, we assume that the diameter is the average of the diameters at both ends giving us 12 inches as the diameter. Thus, the radius is equal to 0.5 ft. The volume of the log is calculated through the equation,
V = πr²h = π(0.5 ft)²(10 ft) = 7.85 ft³
I think it’s 28.35
54/100 x 5 = 2.7
54 + 2.7 = 56.7
56.7/100 x 50 = 28.35
56.7 -28.35 = 28.35
Annual growth rate is (1+0.15)^12. or 5.35025 or 535.025%