For , determine the average rate of change of on the interval…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

For p(θ)=2sin⁡θ+1p(\theta)=2\sin\theta+1, determine the average rate of change of pp on the interval [π6, π3]\left[\dfrac{\pi}{6},\,\dfrac{\pi}{3}\right]. (a) 3−1\sqrt{3}-1 (b) 6(3+1)π\dfrac{6(\sqrt{3}+1)}{\pi} (c) 6(3−1)π\dfrac{6(\sqrt{3}-1)}{\pi} (d) π(3−1)6\dfrac{\pi(\sqrt{3}-1)}{6}

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