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Let F(x, y, =) = (6x° In(5y² + 9) + 4=5) i + ( 10yx + 7:)j + (20xz4 + 7y – 37 sin 72) k 5y2 + 9 and let r(1) = (° + 1)i + (² + 2)j + ° k, 0 <15 1. Evaluate F. dr.

Let F(x, y, =) = (6x° In(5y² + 9) + 4=5) i + ( 10yx + 7:)j + (20xz4 + 7y – 37 sin 72) k 5y2 + 9 and let r(1) = (° + 1)i + (² + 2)j + ° k, 0 <15 1. Evaluate F. dr.

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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Question
Let

F(x, y, z)  =  (6x5 ln(5y2 + 9) + 4z5) i  +  ( 
10yx6
5y2 + 9
 + 7z) j  +  (20xz4 + 7y − 3π sin πz) k

and let  r(t)  =  (t3 + 1) i  +  (t2 + 2) j  +  t3 k ,  0  ≤  t  ≤  1.
Evaluate  
 
∫
C
F · dr .
Problem #4: Let F(x, y, =) = (6x° In(5y² + 9) + 4-5) i + (* 10yr6 + 7:)j + (20xz4 + 7y – 37 sin 7z) k 5y2 + 9 and let r(1) = ( + 1) i + ( + 2)j + P k, 0 <t< 1. Evaluate F. dr.
Transcribed Image Text:Problem #4: Let F(x, y, =) = (6x° In(5y² + 9) + 4-5) i + (* 10yr6 + 7:)j + (20xz4 + 7y – 37 sin 7z) k 5y2 + 9 and let r(1) = ( + 1) i + ( + 2)j + P k, 0 <t< 1. Evaluate F. dr.
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