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Compute the following. +7³²\/x=1 (2²+2z+1)²) 21. 23. d dx (2x+7)2 d dz |=-1

Compute the following. +7³²\/x=1 (2²+2z+1)²) 21. 23. d dx (2x+7)2 d dz |=-1

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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Q21&Q23 needed Needed to be solved correctly in 30 minutes and get the thumbs up please show neat and clean work for it By hand solution needed for all three questions
Check Your Understanding 1.7 1. Let f(t) = 1 + (1/t). Find f"(2). EXERCISES 1.7 Find the first derivatives. 1. f(t) = (²+1)5 2. f(P) = P3 + 3p²-7P + 2 (3.)u(t)= 41² + 11 Vi+1 4. g(y) = y²-2y + 4 (5y = TS-474 +37² - T-1 6. x 1612+ 45t + 10 d dP 7. Find (3p²-P+1). 8. Find√²+1. ds (9.) Find (a²t² + b²¹t+c²³). 10. Find dt Solutions can be found following the section exercises. 2. Differentiate g(r) = 2mrh. In Exercises 11-20, find the first and second derivatives. 12. y = (x + 12)³ 14. y = 100 16. v= 21² +31 + 11 18. y = ² + 3x² 20. T= (1 + 2)2 + 13 11. y=x+1 13. y = √x (15) y = √x+1 17.) f(r) = πr² 19. f(P) = (3P+ 1)5 Compute the following. d (21)(2x + 7² dx x=1 22. d (23) 4 (²+2+1² (7²+3P). |=-1 24. dx² + (3x4 + 4x²) x=2
Transcribed Image Text:Check Your Understanding 1.7 1. Let f(t) = 1 + (1/t). Find f"(2). EXERCISES 1.7 Find the first derivatives. 1. f(t) = (²+1)5 2. f(P) = P3 + 3p²-7P + 2 (3.)u(t)= 41² + 11 Vi+1 4. g(y) = y²-2y + 4 (5y = TS-474 +37² - T-1 6. x 1612+ 45t + 10 d dP 7. Find (3p²-P+1). 8. Find√²+1. ds (9.) Find (a²t² + b²¹t+c²³). 10. Find dt Solutions can be found following the section exercises. 2. Differentiate g(r) = 2mrh. In Exercises 11-20, find the first and second derivatives. 12. y = (x + 12)³ 14. y = 100 16. v= 21² +31 + 11 18. y = ² + 3x² 20. T= (1 + 2)2 + 13 11. y=x+1 13. y = √x (15) y = √x+1 17.) f(r) = πr² 19. f(P) = (3P+ 1)5 Compute the following. d (21)(2x + 7² dx x=1 22. d (23) 4 (²+2+1² (7²+3P). |=-1 24. dx² + (3x4 + 4x²) x=2
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