Let . Using the line tangent to at , which of the following is the best approximation…

MATHEMATICS · Single correct · AP · Calculus AB · Contextual Applications of Differentiation · Contextual Applications of Differentiation

Problem

Let h(t)=t2+4h(t)=\sqrt{t^{2}+4}. Using the line tangent to hh at t=2t=2, which of the following is the best approximation of h(2.05)h(2.05)? (a) 2.8322.832 (b) 2.8462.846 (c) 2.8642.864 (d) 2.7932.793

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