12.6. Lesson 12 Problem Set (1) Estimate (26.8)3 using linear approximation. The computation of the approximation should not require a calculator (otherwise why even bother with an approximationl), so be sure to select the a of the linear approximation formula wisely to make that happen! (2) Estimate sin 31o using linear approximation. Use a calculator to find the percentage error. Remember to work with radians! (3) Use linear approximation to estimate the amount of plastic (in cubic feet) used to coat a sphere 20 feet in radius if the plastic is 1 inches (or 120 foot) thick (4) Find the linearization of f(r) = tan r at a = 0, (Remember that the answer will be the equation of a line.) (5) (Bonus question): Let p be fixed real number. Find the linearization of f(r) (1 + r)P at 0.