Qucstion 9 Find a. the maximum and minimum points of the curve y =-4x + 30x - 63x+ 30 for -1sxs53; b. the minimum and maximum value of the curve y = 2r -18r - 42x + 100 for -2sxs8. [Answer. min point =(1.5,– 10.5), max point =(3.5,5.5)| Answer: min = -390 at x = 7. max = 122 at x =-1]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Optimisation Problems (Maxima/Minima Problems)
Question 9
Find
a. the maximum and minimum points of the curve y = -4xr' + 30x - 63x+30 for -1sxs5;
b. the minimum and maximum value of the curve y = 2x - 18x -42x+100 for -2sxs8.
[Answer: min point =(1.5,-10.5), max point =(3.5,5.5)]
Answer: min = -390 at x = 7. max = 122 at x = -1]
Question 10
Find the coordinates of the maximum point of the curve y= 2x-3x-36x-17 for
-4sxs5.
[Answer: (-2,27)1
Transcribed Image Text:Optimisation Problems (Maxima/Minima Problems) Question 9 Find a. the maximum and minimum points of the curve y = -4xr' + 30x - 63x+30 for -1sxs5; b. the minimum and maximum value of the curve y = 2x - 18x -42x+100 for -2sxs8. [Answer: min point =(1.5,-10.5), max point =(3.5,5.5)] Answer: min = -390 at x = 7. max = 122 at x = -1] Question 10 Find the coordinates of the maximum point of the curve y= 2x-3x-36x-17 for -4sxs5. [Answer: (-2,27)1
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