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In exercises 27–30, use the position function to find the velocity at time t = to. Assume units of feet and seconds. 27. s(t) = t² – sin 2t, to = 0 28. s(t) = 4+ 3 sin t , to = IT cos t 29. s(t) = to = JT 30. s(t) = t cos(t2 +1), to = 0

In exercises 27–30, use the position function to find the velocity at time t = to. Assume units of feet and seconds. 27. s(t) = t² – sin 2t, to = 0 28. s(t) = 4+ 3 sin t , to = IT cos t 29. s(t) = to = JT 30. s(t) = t cos(t2 +1), to = 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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Please answer the highlighted question with steps, lesson name is (derivatives of trigonometric functions)

In exercises 27–30, use the position function to find the velocity at time t = to. Assume units of feet and seconds. 27. s(t) = t² –- sin 2t , to = 0 28. s(t) = 4+3 sin t , to = T cos t 29. s(t) = , to = T 30. s(t) = t cos(t² + r ), to = 0
Transcribed Image Text:In exercises 27–30, use the position function to find the velocity at time t = to. Assume units of feet and seconds. 27. s(t) = t² –- sin 2t , to = 0 28. s(t) = 4+3 sin t , to = T cos t 29. s(t) = , to = T 30. s(t) = t cos(t² + r ), to = 0
3. f(t) = tan³ 2t – csc+ 3t 4. f(t) = t² + 2 cos² 4t 5. f(x) = x cos 5.xr? 6. f(x)= x² sec 4x x² 8. f(x)= sin x? 7. f(x)= x2 csc+ 2.x 9. f(t) = sin 3t sec 3t 10. f(t) = vcos 5t sec 5t 1 11. f(w) = 12. f(w) = w² sec² 3w sin 4w 13. f(x) = 2 sin 2x cos 2x 14. f(x)= 4 sin? 3x + 4 cos² 3x 15. f(x) = tan Vx2 + 1 16. f(x)= 4x² sin x sec 3x (cos / 17. f(x) = sin³ cos Vx3 + 2x² 18. f(x)= tan“(sin (x³ + 2x))
Transcribed Image Text:3. f(t) = tan³ 2t – csc+ 3t 4. f(t) = t² + 2 cos² 4t 5. f(x) = x cos 5.xr? 6. f(x)= x² sec 4x x² 8. f(x)= sin x? 7. f(x)= x2 csc+ 2.x 9. f(t) = sin 3t sec 3t 10. f(t) = vcos 5t sec 5t 1 11. f(w) = 12. f(w) = w² sec² 3w sin 4w 13. f(x) = 2 sin 2x cos 2x 14. f(x)= 4 sin? 3x + 4 cos² 3x 15. f(x) = tan Vx2 + 1 16. f(x)= 4x² sin x sec 3x (cos / 17. f(x) = sin³ cos Vx3 + 2x² 18. f(x)= tan“(sin (x³ + 2x))
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