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ax+by = c. - 7 a The sum, S,, of the first n terms of an arithmetic progression is given by S first term and the common difference. b The first term of a geometric progression is 24 and the fourth term is 12 Fin i the common ratio ii the sum to infinity. 8 The equation of a curve is y = 3 + 12x - 2x². a Express 3+ 12x - 2x² in the form a -2(x + b)2, where a and b are constants Find the coordinates of the stationary point on the curve. Find the set of values of x for which y < -5. b c

ax+by = c. - 7 a The sum, S,, of the first n terms of an arithmetic progression is given by S first term and the common difference. b The first term of a geometric progression is 24 and the fourth term is 12 Fin i the common ratio ii the sum to infinity. 8 The equation of a curve is y = 3 + 12x - 2x². a Express 3+ 12x - 2x² in the form a -2(x + b)2, where a and b are constants Find the coordinates of the stationary point on the curve. Find the set of values of x for which y < -5. b c

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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ax+by = c. 7 a The sum, Sn, of the first n terms of an arithmetic progression is given by Sn = 11n-4n². Find first term and the common difference. b The first term of a geometric progression is 24 and the fourth term is 12 i the common ratio ii the sum to infinity. 8 The equation of a curve is y = 3 + 12x - 2x². a Express 3+ 12x - 2x² in the form a -2(x + b)², where a and b are constants to be found. b Find the coordinates of the stationary point on the curve. c Find the set of values of x for which y <-5. ver in the forth Find:
Transcribed Image Text:ax+by = c. 7 a The sum, Sn, of the first n terms of an arithmetic progression is given by Sn = 11n-4n². Find first term and the common difference. b The first term of a geometric progression is 24 and the fourth term is 12 i the common ratio ii the sum to infinity. 8 The equation of a curve is y = 3 + 12x - 2x². a Express 3+ 12x - 2x² in the form a -2(x + b)², where a and b are constants to be found. b Find the coordinates of the stationary point on the curve. c Find the set of values of x for which y <-5. ver in the forth Find:
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