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The included angle of the two sides of contant equal length s of an isosceles triangle is Z degrees.
(a) Show that the area of the triangle is given by A = 1/2s^2 sin Z
(b) If Z is increasing at the rate of 1/2 radian per minute, find the rate of change of the area when Z = pi/6 and Z = pi/3
(c) Explain why the rate of change of the area of the triangle is not constant even though dZ/dt is constant
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