Find B such that the equation Bx² + x + B = 0 has a repeated real solution. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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(4) Find ß such that the equation ßx² + x + B
(5) The profit for Cocoa Board cocoa beans is given by II(x)
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?
= 0 has a repeated real solution.
= -15x? + 180x – 405
Problem Set: D
(1) Using the appropriate formula, find the 17th term of the sequence 7,4, 1,.....
(2) If h is defined by h(x) = |x| + 2,
(a) What is the range of h if the domain of h is the interval [-8,2)?
(b) What is the range of h if the domain of h is the set of negative integers?
%3D
(3) Consider the sequence x + 3,x + 7,4x - 2,..........
(a) If the sequence is arithmetic, find x and then determine each of the 3 terms and the 4th term.
(b) If the sequence is geometric, find x and then determine each of the 3 terms and the 4th term.
(4) Danny creates up an investment arrangement for friend that will return $5000 the first year,
$6125 the second year, $7250 the third year, and so on, for 30 years. State appropriate formulae
and determine, how much will the investment yield altogether?
(5) If Sandago has a present population of 70,000, and the population is increasing by 3% each year.
(a) What will the population be in 10 years?
(b) How long will it take for the population to double?
Transcribed Image Text:(4) Find ß such that the equation ßx² + x + B (5) The profit for Cocoa Board cocoa beans is given by II(x) 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? = 0 has a repeated real solution. = -15x? + 180x – 405 Problem Set: D (1) Using the appropriate formula, find the 17th term of the sequence 7,4, 1,..... (2) If h is defined by h(x) = |x| + 2, (a) What is the range of h if the domain of h is the interval [-8,2)? (b) What is the range of h if the domain of h is the set of negative integers? %3D (3) Consider the sequence x + 3,x + 7,4x - 2,.......... (a) If the sequence is arithmetic, find x and then determine each of the 3 terms and the 4th term. (b) If the sequence is geometric, find x and then determine each of the 3 terms and the 4th term. (4) Danny creates up an investment arrangement for friend that will return $5000 the first year, $6125 the second year, $7250 the third year, and so on, for 30 years. State appropriate formulae and determine, how much will the investment yield altogether? (5) If Sandago has a present population of 70,000, and the population is increasing by 3% each year. (a) What will the population be in 10 years? (b) How long will it take for the population to double?
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