MAT 210 Lecture 7: September 6, 2019 Part 1

Give the first three terms of the Taylor series for f(z) = sin(4 z) centered at z = 0. a) 1- +24 s://www.casa.uh.edu/CourseWare2008/Root/Pages/CW/Users/Student/Grades/PrintTest.htm Print Test 2017 b) 6120 32128 15 1-822 + 32z4 d) e 82 4z + 1

(1 point) A street light is at the top of a 24 ft pole. A 4 t tall girt walks along a straight path away from the pole with a speed of 3 f/sec. is the tip of her shadow moving away from the light (le. away from the top of the pole) when the girl is 26 ft away from the pole? Answer How fast is her shadow lengthening? Answer

nuc.edu/d2/le/content/253616/viewContent/976 O- a deUMUSect. 16. Fig.9 shows the graphs of th series. Which is/are not the series? Why? Fig. 9 In problems 17-31 determine whether the given series converge or diverge. 17, Σ(-1)n+1 n+5 20. Σ(-0.99 ) n+1 18. Σ (-1) n In(n) 19 +31 21. Σ(-1)n 22-37 (-1 23. y--n 25. y (1 n=1 24. n-3 In+1 In(n) In( ni0) -a+1 In(n) 27, (-1) 28. -1 n l In( n) (-2)n+1 00 n+l 29. 30.) D 2 1. cos In problems 32-40, (a) calculate s4 for each series and determine an upper bound the exact value S of the infinite series. Then (b) use sa find lower and upper bour Download o search