Fundamentals of Differential Equations (9th Edition)
9th Edition
ISBN: 9780321977069
Author: R. Kent Nagle, Edward B. Saff, Arthur David Snider
Publisher: PEARSON
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can I see the steps for how you got the same answers already provided for μ1->μ4. this is a homework that provide you answers for question after attempting it three tries
1. Prove that for each n in N, 1+2++ n = n(n+1)/2.
2. Prove that for each n in N, 13 +23+
3. Prove that for each n in N, 1+3+5+1
4. Prove that for each n ≥ 4,2" -1, then (1+x)" ≥1+nx for each
n in N.
11. Prove DeMoivre's Theorem: fort a real number,
(cost+i sint)" = cos nt + i sinnt
for each n in N, where i = √√-1.
Pls help ASAP
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- 1. Pira's expenses are $850 a month for rent and utilities, $52 a month for TV and Internet package, $90 a week for food, $110 a month for a bus pass, $25 a week for entertainment, and $85 every two weeks for miscellaneous expenses. a) Convert each expense to a monthly amount and represent each monthly amount as a percentage. b) Create a circle graph that shows the breakdown of the monthly expenses. c) Pira has an income of $1600/biweekly and is deciding whether a weeklong vacation to Florida would be within her budget. The cost of the trip is approximately $2000 per week. Would you recommend for her to take the one weeklong vacation? Explain.arrow_forward4. Mason works at a part-time job earning $985 every two weeks. Mason's expenses are $750 a month for rent and utilities, $75 a month for her cell phone, $350 a month for food, $35 a week for entertainment, $310 a month for her car loan payment, and $65 every two weeks for miscellaneous expenses. How long will it take Mason to save $2000 for a vacation? Round your answer to the nearest month.arrow_forwardPls help ASAParrow_forward
- Pls help ASAParrow_forward2. List three life events that can (not related to savings) change a person's monthly budget. Explain.arrow_forward3. Abdul works full-time in a bookstore. He earns a take-home salary of $580 a week. His expenses are $850 a month for rent and utilities, $65 a month for his cell phone, $95 a week for groceries, and $75 every two weeks for miscellaneous expenses. How much can Abdul save each month?arrow_forward
- Classify the singularities for the following functions at the given point. at a = (a) f(z) = 1 (2 sin z-1)² (b) f(z) = exp(4)-1 at 0 and at a = (c) f(z) = 1-cosh z at a=0 2 In the case of a pole, indicate the order of the pole and its residue.arrow_forwardDetermine all functions f analytic in the open unit disc || < 1 which satisfy in addition f(0) = 1 and |f(z)|≥ 1 whenever || < 1. Justify your answer.arrow_forwardDeduce the Laurent expansion for f(z) = 22(2-3)2 in the annulus 0 < |z3|< 3.arrow_forward
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