Question 1 Consider the function y=x³ – 3x² + 2 (1) Find all the maximum and minimun points of the function above. I S(xn) (li) Using Newton's method of approximation (xn+1 = Xn - Find the root of the equation starting with xo = 2.7 for y = x³ – 3x² + 2, Give your answer corerct to 4 decimal places. (i)max point:(2,4).min point:(2,2) (ii)1.4561 O (i)max point:(0,2).min point:(2,-2) (ii)2.7321 (i)max point:(0,0).min point:(2,-1) (ii)3.5520 (i)max point:(1,1).min point:(0,-2) (ii)1.5531

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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Question 1
Consider the function y=x³ – 3x² + 2
(1)
Find all the maximum and minimun points of the function above.
I
S(xn)
(li)
Using Newton's method of approximation (xn+1 = Xn -
Find the root of the equation starting with xo = 2.7 for y = x³ – 3x² + 2,
Give your answer corerct to 4 decimal places.
(i)max point:(2,4).min point:(2,2) (ii)1.4561
O (i)max point:(0,2).min point:(2,-2) (ii)2.7321
(i)max point:(0,0).min point:(2,-1) (ii)3.5520
O (i)max point:(1,1).min point:(0,-2) (ii)1.5531
Transcribed Image Text:Question 1 Consider the function y=x³ – 3x² + 2 (1) Find all the maximum and minimun points of the function above. I S(xn) (li) Using Newton's method of approximation (xn+1 = Xn - Find the root of the equation starting with xo = 2.7 for y = x³ – 3x² + 2, Give your answer corerct to 4 decimal places. (i)max point:(2,4).min point:(2,2) (ii)1.4561 O (i)max point:(0,2).min point:(2,-2) (ii)2.7321 (i)max point:(0,0).min point:(2,-1) (ii)3.5520 O (i)max point:(1,1).min point:(0,-2) (ii)1.5531
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