11. 7(t) = (cost, e¹, Int)

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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11.2)question 11
continuous.
9. 7(t) = (t²,1/t)
10. 7(t) = (cost, e¹, In t)
In Exercises 11-16, find the derivative of the given function.
11. 7(t)= (cost, e¹, Int)
1 2t-1
t' 3t+1¹tant
13. 7(t) = (t²) (sin t, 2t + 5)'
14. r(t) = (²+1,t-1). (sin t, 2t + 5)
15. 7(t) = (²+1,t-1, 1) × (sint, 2t +5,1)
16. 7(t) = (cosh t, sinh t)
In Exercises 17-20, find 7' (t). Sketch 7(t) and 7' (1), with the
initial point of 7' (1) at 7(1).
17. 7(t) = (t + t,t²-t)
12. 7(t)=
35.
36.
29. Simplit
same a
30. Simplif
same a
31. Simplify
same as
32. Simplify
same as i
33.
34.
In Exercises 3
integral.
[(e.
S
I
, COS
1
1+1²
(-sin t,
[₁²2²
(2t+1, 2
Transcribed Image Text:continuous. 9. 7(t) = (t²,1/t) 10. 7(t) = (cost, e¹, In t) In Exercises 11-16, find the derivative of the given function. 11. 7(t)= (cost, e¹, Int) 1 2t-1 t' 3t+1¹tant 13. 7(t) = (t²) (sin t, 2t + 5)' 14. r(t) = (²+1,t-1). (sin t, 2t + 5) 15. 7(t) = (²+1,t-1, 1) × (sint, 2t +5,1) 16. 7(t) = (cosh t, sinh t) In Exercises 17-20, find 7' (t). Sketch 7(t) and 7' (1), with the initial point of 7' (1) at 7(1). 17. 7(t) = (t + t,t²-t) 12. 7(t)= 35. 36. 29. Simplit same a 30. Simplif same a 31. Simplify same as 32. Simplify same as i 33. 34. In Exercises 3 integral. [(e. S I , COS 1 1+1² (-sin t, [₁²2² (2t+1, 2
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