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Exercises 22-26: Rewrite the function y(t) in the form y(t) = Real cos(Bt - 8), where 0 ≤8 <2n. Use this representation to sketch a graph of the given function, on a domain sufficiently large to display its main features. 22. y(t) = sint + cost 24. y(t) = e' cost +√3e' sint 26. y(t) = e-2 cos 2t - e-2¹ sin 2t Exercises 27-29: SW 23. y(t) = cos лt - sinnt 25. y(t)=-e cost+√3e sint

Exercises 22-26: Rewrite the function y(t) in the form y(t) = Real cos(Bt - 8), where 0 ≤8 <2n. Use this representation to sketch a graph of the given function, on a domain sufficiently large to display its main features. 22. y(t) = sint + cost 24. y(t) = e' cost +√3e' sint 26. y(t) = e-2 cos 2t - e-2¹ sin 2t Exercises 27-29: SW 23. y(t) = cos лt - sinnt 25. y(t)=-e cost+√3e sint

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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Please show all work and do all parts. Only do question 26.
21. y(t) = 32 Exercises 22-26: Rewrite the function y(t) in the form y(t) = Rea cos(ßt - 8), where 0 ≤8 <2n. Use this representation to sketch a graph of the given function, on a domain sufficiently large to display its main features. 22. y(t) = sint + cost 24. y(t) = e' cost + √3e¹ sint 26. y(t) = e-2t cos 2t - e-2¹ sin 2t Exercises 27-29: y"+ay+by = 0, y(0) = yoy' (0)=yo. Use the information given to express the solu- In each exercise, the figure shows the graph of the solution of an initial value problem tion in the form y(t) = R cos(ßt - 8), where 0 ≤ 8 < 27. Determine the constants a, b.yo and yo. Mus WEW 23. y(t) = cosлt - sint 25. y(t) = -e cost +√3 e sint
Transcribed Image Text:21. y(t) = 32 Exercises 22-26: Rewrite the function y(t) in the form y(t) = Rea cos(ßt - 8), where 0 ≤8 <2n. Use this representation to sketch a graph of the given function, on a domain sufficiently large to display its main features. 22. y(t) = sint + cost 24. y(t) = e' cost + √3e¹ sint 26. y(t) = e-2t cos 2t - e-2¹ sin 2t Exercises 27-29: y"+ay+by = 0, y(0) = yoy' (0)=yo. Use the information given to express the solu- In each exercise, the figure shows the graph of the solution of an initial value problem tion in the form y(t) = R cos(ßt - 8), where 0 ≤ 8 < 27. Determine the constants a, b.yo and yo. Mus WEW 23. y(t) = cosлt - sint 25. y(t) = -e cost +√3 e sint
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