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21-28 Solve the initial-value problem. 21. dy - ²+1, 10, y = 6 when t = 0

21-28 Solve the initial-value problem. 21. dy - ²+1, 10, y = 6 when t = 0

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Number 21
21-28 Solve the initial-value problem. 21. 22. 23. 24. 25. 26. 27. 28. dy dt dP dt dm dt dr do dy dx du dt dv dt 1²+1, 10, y = 6 when t = 0 1+ t> 0, y = 5 when t = 1 2e³, 10, P(0) = 1 100e-04, 10, m(0) = 50 cos 0 + sec 0 tan 0, 0<0</2, r(π/3) = 4 x² +1+ √i + 2 1 +1 y = 0 when x = t> 0, u(1) = 5 29-40 Find f. 29. f'(x) = 6x + 12x² 31. f"(x)=x2/3 e'(1 + e²¹), t≥ 0, v(0) = 3 30. f(x)=2+x'. 32. f"(x) = 6x + sin x 33. f'(x)=1-6x, f(0) = 8 34. f'(x) = 8x' + 12x + 3, f(1) =6 35. f'(x)=√x (6 + 5x), f(1) = 10
Transcribed Image Text:21-28 Solve the initial-value problem. 21. 22. 23. 24. 25. 26. 27. 28. dy dt dP dt dm dt dr do dy dx du dt dv dt 1²+1, 10, y = 6 when t = 0 1+ t> 0, y = 5 when t = 1 2e³, 10, P(0) = 1 100e-04, 10, m(0) = 50 cos 0 + sec 0 tan 0, 0<0</2, r(π/3) = 4 x² +1+ √i + 2 1 +1 y = 0 when x = t> 0, u(1) = 5 29-40 Find f. 29. f'(x) = 6x + 12x² 31. f"(x)=x2/3 e'(1 + e²¹), t≥ 0, v(0) = 3 30. f(x)=2+x'. 32. f"(x) = 6x + sin x 33. f'(x)=1-6x, f(0) = 8 34. f'(x) = 8x' + 12x + 3, f(1) =6 35. f'(x)=√x (6 + 5x), f(1) = 10
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