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A cup has a circular cross-section with varying radius as shown in the diagram. The volume of the cup is given by V (h) =0.03h +2h² +44h (cm³). There is a mark L on the labelling of the cup that indicate the volume for 600 cm³ is situated at height h=L cm. Approximate the value of L using the Newton's Method with the number of iteration n=4. Use the initial guess Po equals to sum of the last 2 digits of your student id. Present your answer in a table that include related expressions used in the Newton's method. Write your answer in 4 decimal places. h -h=L --L

A cup has a circular cross-section with varying radius as shown in the diagram. The volume of the cup is given by V (h) =0.03h +2h² +44h (cm³). There is a mark L on the labelling of the cup that indicate the volume for 600 cm³ is situated at height h=L cm. Approximate the value of L using the Newton's Method with the number of iteration n=4. Use the initial guess Po equals to sum of the last 2 digits of your student id. Present your answer in a table that include related expressions used in the Newton's method. Write your answer in 4 decimal places. h -h=L --L

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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A cup has a circular cross-section with varying radius as shown in the diagram. The volume of the cup is given by V (h) = 0.03h° +2h² +44h (cm³). There is a mark L on the labelling of the cup that indicate the volume for 600 cm³ is situated at height h=L cm. Approximate the value of L using the Newton's Method with the number of iteration n=4. Use the initial guess Po equals to sum of the last 2 digits of your student id. Present your answer in a table that include related expressions used in the Newton's method. Write your answer in 4 decimal places. h -h=L --L
Transcribed Image Text:A cup has a circular cross-section with varying radius as shown in the diagram. The volume of the cup is given by V (h) = 0.03h° +2h² +44h (cm³). There is a mark L on the labelling of the cup that indicate the volume for 600 cm³ is situated at height h=L cm. Approximate the value of L using the Newton's Method with the number of iteration n=4. Use the initial guess Po equals to sum of the last 2 digits of your student id. Present your answer in a table that include related expressions used in the Newton's method. Write your answer in 4 decimal places. h -h=L --L
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