1. Solve the following: 2 (c) 4 sx - 3) < 1 (a) 23 (b) <1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Problem Set: C
1. Solve the following:
(a) 2 3
(d) 6z -9 - z <0
() s -x - 3) < 1
<1
(e) 3t? + 21t + 30 2 5t2 - 20
(2) Gabrielle is given the choice of two positions, the first paying $6400 per month and the other
paying $4000 per month plus a 5% commission on all sales made during the month.
What amount of sale must she make a month for the second position to be more profitable?
(3) Create the function which best describes the graph show below.
fix) 8
-6
-5
-4
-3
-2
2
4
8
10
11
21
Mathematics for the Social Sciences 1, ECONI03 - Course Guide, Academic Year 2020/2021 - Semester 2
(4) Find ß such that the equation Bx? + x + ß = 0 has a repeated real solution.
(5) The profit for Cocoa Board cocoa beans is given by II(x) = -15x² + 180x - 405
thousand dollars, where x is the number of tonnes of cocoa beans produced and sold.
(a) How many tonnes must be sold for to not make a loss?
Transcribed Image Text:Problem Set: C 1. Solve the following: (a) 2 3 (d) 6z -9 - z <0 () s -x - 3) < 1 <1 (e) 3t? + 21t + 30 2 5t2 - 20 (2) Gabrielle is given the choice of two positions, the first paying $6400 per month and the other paying $4000 per month plus a 5% commission on all sales made during the month. What amount of sale must she make a month for the second position to be more profitable? (3) Create the function which best describes the graph show below. fix) 8 -6 -5 -4 -3 -2 2 4 8 10 11 21 Mathematics for the Social Sciences 1, ECONI03 - Course Guide, Academic Year 2020/2021 - Semester 2 (4) Find ß such that the equation Bx? + x + ß = 0 has a repeated real solution. (5) The profit for Cocoa Board cocoa beans is given by II(x) = -15x² + 180x - 405 thousand dollars, where x is the number of tonnes of cocoa beans produced and sold. (a) How many tonnes must be sold for to not make a loss?
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