Answers to LIFE Final Exam Review1. cos xp4 + 5 sin4x2. 933. −14πft/min4. t =5 ln(110)ln(23)≈ 28.4 years5. w =20√3, d =20√2√3cm6.3√265i +16√265j7. cos−13√108. r(t) = (2t)i +3 +32tj9.−π√π2+ 1i +−1√π2+ 1j10. y − 1 = −14e(x − e)11. −1812. a = −3, c = 2213. −1414.3215.4516.94,2317.1218.x√1 − x219. f(x) = 3 sin−1x + 3 ln x +16x2+ 3 ln 2 −π2−12420. f has a relative maximum at the point (3, 6). The tangent line is horizontal and the function isconcave down at that point.21.139122. 7823.2x+ 4 + 2ex2e−1+ πxln π24. −1225. (x2− 1)e−1/2x226. −∞27.cos(4x) + 8x sin(4x)cos3(4x)28. (0,
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