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Write the following using the summation convention. (i) (¹)² + (x²)² + (x³)² + + (x²)² (ii) ds²=g11 (dx¹)² +822(dx²)² +. + (iii) a₁x¹x³ + a₂x²x³ +.. +axx³ 8nn(dxn)2

Write the following using the summation convention. (i) (¹)² + (x²)² + (x³)² + + (x²)² (ii) ds²=g11 (dx¹)² +822(dx²)² +. + (iii) a₁x¹x³ + a₂x²x³ +.. +axx³ 8nn(dxn)2

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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1. Write the following using the summation convention. (i) 1)2 +(x2)² + (r³)² + + (x")2 (ii) ds? =g11 (dx')² + g22(dx²)² +. (iii) a,x!r3 + a,x?r3 ++ a„r"x3 +8nn(dx")² ...
Transcribed Image Text:1. Write the following using the summation convention. (i) 1)2 +(x2)² + (r³)² + + (x")2 (ii) ds? =g11 (dx')² + g22(dx²)² +. (iii) a,x!r3 + a,x?r3 ++ a„r"x3 +8nn(dx")² ...
2. Expand the following: (i) ayx 3. Evaluate: (ii) (1) x'8', (ii) 88f (iii) 8,8 4. Express b"y ,y, in the terms of x variables where y, = c,x, and buc = 8.
Transcribed Image Text:2. Expand the following: (i) ayx 3. Evaluate: (ii) (1) x'8', (ii) 88f (iii) 8,8 4. Express b"y ,y, in the terms of x variables where y, = c,x, and buc = 8.
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